For which of the following decreasing functions ƒ does (ƒ-¹)'(10) = −1/8?
A) f(x)=-5x+15
B) f(x)=-2x^3-2x+14
C) f(x)=-x^5-4x+15
D) f(x)=e^(-2x)-x+9
Answers
Recall the inverse function theorem; if \(f(x)\) is locally invertible around \(x = a\), and \(f(a) = b\) and \(a = f^{-1}(b)\), then
\(f\left(f^{-1}(x)\right) = x \implies f'\left(f^{-1}(x)\right) \left(f^{-1}\right)'(x) = 1 \\\\ \implies \left(f^{-1}\right)'(x) = \dfrac1{f'\left(f^{-1}(x)\right)} \\\\ \implies \left(f^{-1}\right)'(b) = \dfrac1{f'(a)}\)
Then the given derivative value tells us that there is some value of \(x=a\) for which \(f(a)=10\) and \(f'(a) = -8\). Compute the derivative of each function and check if both of these conditions are met.
If \(f(x)=-5x+15\), then \(f'(x)=-5\). (no)If \(f(x)=-2x^3-2x+14\), then \(f'(x)=-6x^2-2\). Then \(f'(a) = -6a^2-2=-8 \implies a = \pm 1\). Now, \(f(-1)=18\) doesn't work, but \(f(1)=10\) does. (B is the correct choice)If \(f(x)=-x^5-4x+15\), then \(f'(x)=-5x^4 - 4\). Then \(f'(a)=-5a^4-4=-8 \implies a = \pm\sqrt[4]{\frac45}\). But \(f(a)\neq10\) for either of these values. (no)If \(f(x)=e^{-2x}-x+9\), then \(f'(x)=-2e^{-2x}-1\). Then \(f'(a)=-2e^{-2a}-1=-8 \implies a = \frac{\ln(2)-\ln(7)}2\). But \(f(a)\neq10\). (no)Related Questions
Which rank is higher in fire rescue?
Assistant Chief of Training Operations
Assistant Chief of Medical Operations
Deputy Assistant Chief of Fire Operations
Deputy Assistant Chief of Training Operations
Deputy Assistant Chief of Medical Operations
Deputy Chief of Training Operations
Deputy Chief of Medical Operations
Answers
The fire chief is the highest-ranking officer in the fire department. He or she is directly responsible for the efficient operation of the fire department and has control of all of its personnel and activities.
What are the functions of assistant chief of training Operations?Under the direction of the Fire Chief, the Assistant Chief is responsible for the overall planning, organizing, and directing of day-to-day operations.
He is also responsible for evaluation of all emergency operations including fire suppression, rescue, emergency medical services, and hazardous materials mitigation.
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Prompt
Using your understanding of Von Thünen’s arrangement of agricultural crops surrounding the market, describe the location of dairy farming, animal grazing, grain fields, and forests. How does the rural land use correspond with the assumptions and econometrics of relative location?
Answers
Answer and Explanation:
According to Von Thünen's arrangement around the market, the city is the center of the production process, but it is the one that contributes with lesser responsibilities in relation to the analysis of economic problems, as it is located in a smaller area and with less economic impact. The areas of milk production are larger than the areas of the city and, successively, the areas of pastures, forests and grain fields are larger than the other ones, and the larger, the more responsiveness within the presentation market, as well as a greater econometrics in the economic process of a region.
Come and get it!!!!! Baisically the easiest points youll ever get!
Verse of the day:
Romans 8:26 (NIV)
"We do not know what we ought to pray for, but the Spirit himself intercedes for us through wordless groans."
Have a fantastic day.
P.s. If you would like to share one of your favorite verses be sure to put it as your answer or in the comment section.
p.p.s. you should read psalms 23. I'll put it here incase you don't have a bible.
"The LORD is my shepherd; I shall not want.
2He maketh me to lie down in green pastures:
He leadeth me beside the still waters.
3He restoreth my soul:
He leadeth me in the paths of righteousness for his name's sake.
4Yea, though I walk through the valley of the shadow of death, I will fear no evil:
for thou art with me; Thy rod and thy staff they comfort me.
5Thou preparest a table before me in the presence of mine enemies:
Thou anointest my head with oil; my cup runneth over.
6Surely goodness and mercy shall follow me all the days of my life:
And I will dwell in the house of the LORD for ever."
Answers
Answer:
Behold, Jeremiah 4:19.
My bowels, my bowels! I am pained at my very heart; my heart maketh a noise in me; I cannot hold my peace, because thou hast heard, O my soul, the sound of the trumpet, the alarm of war.
Explanation:
B)
I give Brainliest
What were the effects of the discovery of gold in California?
(Choose 3)
It created a major migratory movement of people to the region.
It prevented towns from developing a variety of goods and services since everyone was focused on finding gold.
It led to the Mexican Cession when Polk demanded compensation from Mexico.
It ended westward expansion as land became more expensive.
It increased transportation routes across the country.
It boosted the national economy as demand for goods and machinery increased to support the Gold Rush.
Answers
Answer:
It created a major migratory movement of people to the region.
It boosted the national economy.
It increased transportation.
Explanation:
The California Gold Rush had almost everyone in the US moving west to try to gain a fortune. It boosted the national economy because everyone who struck gold became rich almost over night. When you have a wealthy populace, the economy is significantly boosted. Transportation increased as people moved west. More people moving west meant they needed safer and more secure routes toward the west, which increased routes.
In line 17, the quotation marks around the phrase "entertainment factor" imply that?
Answers
The quotation marks around the phrase "entertainment factor" imply that the measurement is largely personal and largely idiosyncratic
What do the quotation marks around the phrase implies?In the context of the paragraph, the quotation marks around the phrase "entertainment factor" suggest that the measurement of entertainment value is subjective and personal. It implies that what may be entertaining to one person, like Chanu, might not be entertaining to others.
The use of quotation marks indicates that the term "entertainment factor" is being used in a specific or unique way by Chanu emphasizing the subjectivity of his rating system. It highlights the idea that the measurement of entertainment is largely based on individual preferences rather than being universally agreed-upon standard.
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This is a regular amount you pay in order to use a space, such as a warehouse, office, store, or flea market booth.
A.) rent
B.) insurance
C.) utilities
Entrepreneurship
Answers
Answer:a
Explanation: Becasue you are renting the space
Rent in the amount you pay in order to use a space such as
consider the curve defined by x^2/16 - y^2/9 = 1. it is known that dy/dx = 9x/16y and d^2y/dx^2 = "-81/" 16y^3. which of the following statements is true about the curve in quadrant iv?
Answers
The statement that is true about the curve in quadrant iv is option D.
How to explain the informationIn Quadrant IV, x is positive and y is negative. The curve defined by x^2/16 - y^2/9 = 1 is a hyperbola. The derivative dy/dx gives the slope of the tangent line to the hyperbola at any point.
In Quadrant IV, x is positive and y is negative, so both dy/dx and 9x/16y are negative. Therefore, the slope of the tangent line to the curve is negative in Quadrant IV.
The second derivative d^2y/dx^2 gives the concavity of the curve. In Quadrant IV, y is decreasing and d^2y/dx^2 is negative, so the curve is concave down in Quadrant IV.
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Prompt
Identify one academic goal you would like to reach. (graduate) Create a plan using each of the five goal setting steps.
Answers
Answer:
Academic Goal: To complete a graduate degree in Data Science within the next two years.
Step 1: Define the goal
My goal is to complete a graduate degree in Data Science within the next two years, which will enable me to deepen my knowledge and skills in the field of data analysis and interpretation.
Step 2: Set measurable objectives
Enroll in a reputable graduate program in Data Science by the end of this year.
Maintain a minimum GPA of 3.5 throughout the program.
Complete all required coursework within the designated time frame.
Participate in at least one internship or research project in Data Science during the program.
Publish at least one academic paper related to my research project.
Step 3: Develop a plan of action
Research and identify suitable graduate programs in Data Science and their application deadlines.
Submit all required application materials, including transcripts, letters of recommendation, and personal statement, before the deadline.
Create a study schedule to ensure that all coursework is completed on time.
Research and apply to internship or research opportunities in Data Science.
Identify potential research topics and work with my advisor to develop a research project.
Step 4: Implement the plan
Submit all graduate program applications by their respective deadlines.
Attend all scheduled classes and complete all coursework on time.
Work with my advisor to develop a research project and secure an internship or research opportunity.
Maintain regular communication with my advisor and actively seek feedback on my work.
Write and submit an academic paper based on my research project.
Step 5: Monitor progress and adjust the plan if necessary
Regularly check my grades and adjust my study schedule if necessary to maintain a GPA of at least 3.5.
Meet with my advisor regularly to discuss my progress and make any necessary adjustments to my research project.
Re-evaluate my plan of action every semester and make any necessary changes to ensure that I am on track to complete the program within the designated time frame.
Consider the consequences of Hurricane Katrina in New Orleans and the landslide in La Conchita, California. Which
of the following statements best explains why loss of life and property is so significant with regard to modern natural
disasters?
A) Natural disasters are caused by nature, and humans cannot influence their effects.
B) There is no way to predict where and when natural disasters will occur.
C Risks of living and building in hazard zones are understood but ignored.
D There is rarely enough warning prior to a natural disaster to prevent loss of life.
E) Human societies are unable to differentiate between direct and indirect effects of disasters.
Answers
I think the answer is C
a b and e are false
And for d disasters can usually be predicted
please please helppp
Answers
Answer:
yes
Explanation:
What political social and economic events & institutions defined Colonial society from 1700-1775?
Answers
The political social and economic events as well as the institutions that defined Colonial society from 1700-1775 are:
More participation in things of politics and governanceA legal kind of institutionalization of any form of religious toleration.The growth and taking in or the diffusion of the population.What were the political social and economic effects?Some of the political social and economic events & institutions that defined Colonial society from 1700-1775 are:
Conquest by the CradleA Mingling of the RacesNote that the Revolution is one that was known to have unleashed a very powerful political, social, and economic forces that tends to change the post-Revolution politics and society, such as increased participation in politics and as well as governance and others.
Hence, The political social and economic events as well as the institutions that defined Colonial society from 1700-1775 are:
More participation in things of politics and governanceA legal kind of institutionalization of any form of religious toleration.The growth and taking in or the diffusion of the population.Learn more about Colonial society from
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Which concept is MOST related to a complete absence of social mobility?
a. economic downturn
b. high poverty
c. caste system
d. industrialization
Answers
Answer:
b
Explanation:
The concept that is most related to a complete absence of social mobility is the caste system (option c).
The caste system is a social structure characterized by hereditary divisions based on birth, where individuals are born into a specific social class and have limited or no opportunity to move up or down in the social hierarchy. It is a rigid system that defines an individual's social status, occupation, and privileges from birth, with very little chance for upward mobility.
In a caste system, individuals are confined to their assigned caste, and social and economic opportunities are largely determined by one's caste affiliation.
This system restricts social mobility by denying individuals the ability to change their social position, regardless of their abilities, skills, or efforts. It perpetuates inequality, as those born into higher castes enjoy privileges and advantages while those in lower castes face discrimination and limited opportunities.
While economic downturn (option a), high poverty (option b), and industrialization (option d) can impact social mobility to some extent, the caste system is specifically designed to maintain a complete absence of social mobility and is deeply entrenched in certain societies and cultures where it exists.
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How did the advent of the microscope most likely affect the foul-air theory?
O It supported the theory of foul air causing illness and helped the theory become a law.
It provided evidence for other causes of illness, but scientists did not change the theory.
O It allowed scientists to change the theory before any new information was collected.
O It allowed scientists to see small organisms in sick individuals and change the theory.
Answers
It allowed scientists to change the theory before any new information was collected, is the advent of the microscope most likely affect the foul-air theory.
What does the microscope affect in the foul-air theory?Many biological processes and mechanisms that occur around us can only be understood if they are observed on a smaller scale.
Scientists can now view a variety of things, such as viral activity, cell movement, pores, and so on, thanks to the invention of the microscope.
Thus, option C is correct.
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Prompt
Answer questions 1-12 in "Questions on Rhetoric and Style" on p. 778 of The Language of Composition. (2nd edition:
Answer questions 1-12 on p. 411.)
<< Read Less
Answers
Answer:
He wanted his reader to view him as someone with a “crazy” persona. He wanted to be viewed as someone who was outrageous and overacted with beliefs that were out of line. This is essential so as to invoke some emotions from them.I noticed when he first started describing the reasoning for his proposal. I think a modern audience would catch on quicker because today we have a better idea of satire and read about it as well as work with it a lot of the time so we know when we see it as opposed to when it was a newer thing.His diction of pointing out the wrongdoings of the people. He talks about the people in a harsh manner and describes them as problems not people. He chooses these words as it sets a mood that this piece is to change the ways of humanity.Because of the ridiculous nature of the proposal, he wanted the readers to first see the purpose of this kind of proposal. If readers saw the proposal before they saw the reasoning they may think it is too crazy and would not continue reading and therefore would not see that it is satire.The purpose of this kind of strategy is to further invoke the imagination of the readers as to the message Swift wants to convey.Swift's use of statistics to back up his appeal for these values and the overall effect of his proposal is a rhetorical strategy that elicited the consciousness of the audience. This further supports his argument as it adds logic to the proposal and makes people think it is a smart idea and they keep reading.The purpose of this additional proposal is to create an atmosphere of more anger and ridiculousness to further push the readers to action. Swift targets people who make the most of their ill-gotten opportunities to take advantage of people who they got to believe and surrender to them.His assumptions addressed his concerns of people taking up most of the power and the poor people becoming poorer and poorer. He assumes that people will read these and will be willing to make those changes and that it is a simple task despite it not being so and it is actually quite a challenge.He discusses some solutions so as to help lessen the damage that his proposal would do. The purpose of this is to let the readers imagine how difficult the country has been that it came to the point that this kind of proposal is the only solution.He noted at the end that this proposal came from the very ill-fated thoughts of a visionary which makes this proposal all the more satiric. His tone is serious.The final paragraph further puts a final closing/clamp on the satiric nature of the proposal.Explanation:
The chronic release of stress hormones can impair cells in the part of your brain designed for ______ and _______.
PSYCHOLOGY
Answers
Answer:
memory
learning
Explanation:
The chronic release of stress hormones can impair cells in the part of your brain designed for memory and learning.
This is because memory control in the hippocampus, and both are located on the right hemisphere. Stress released hormones come out of adrenal glands.
who wants to help a brotha out
Answers
Using the balanced equation, The grams of \(Al_2O_3\) are produced from 0.85 moles of \(Al(OH)_3\) is 2(0.85) moles x 102 g/mole. The correct option is A.
To decide the quantity of \(Al_2O_3\) created from 0.85 moles of \(Al(OH)_3\) , we want to apply the stoichiometry of the balanced equation.
\(2 Al(OH)_3 --- > Al_2O_3 + 3 H_2O\)
From the equation, we will see that 2 moles of \(Al(OH)_3\) produce 1 mole of Al2O3.
To convert moles of \(Al(OH)_3\) to moles of \(Al_2O_3\) , we use the conversion factor:
1 mole \(Al_2O_3\) / 2 moles \(Al(OH)_3\)
Now we can calculate the moles of \(Al_2O_3\) made from 0.85 moles of \(Al(OH)_3\) :
Moles of \(Al_2O_3\) = 0.85 moles \(Al(OH)_3\) × (1 mole \(Al_2O_3\) / 2 moles \(Al(OH)_3\)
Moles of \(Al_2O_3\) = 0.85 moles \(Al(OH)_3\) / 2
Molar mass of \(Al_2O_3\) = (2 × atomic mass of Al) + (3 × atomic mass of O)
Molar mass of \(Al_2O_3\) = (2 × 27.0 g) + (3 × 16.0 g)
Molar mass of \(Al_2O_3\) = 54.0 g + 48.0 g
Molar mass of \(Al_2O_3\) = 102.0 g/mol
Mass of \(Al_2O_3\) = Moles of \(Al_2O_3\) × Molar mass of \(Al_2O_3\)
Mass of \(Al_2O_3\) = (0.85 moles \(Al(OH)_3\) / 2) × 102.0 g/mol
Mass of \(Al_2O_3\) = 0.425 moles × 102.0 g/mol
Mass of \(Al_2O_3\) = 43.35 g
Thus, the correct option is A.
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Use the 4-step plan.
1. In a survey of 300 randomly selected Olympia students, participants were asked what their favorite and
least favorite subject was. The results were interesting. Math was picked more often for both categories. 93
picked math as their favorite subject and 126 picked math as their least favorite subject.
Construct and interpret a 95% confidence interval for the proportion of Olympia students who consider
math their favorite subject.
Answers
Answer: Here's the 4-step plan to construct and interpret a 95% confidence interval for the proportion of Olympia students who consider math their favorite subject:
Define the parameter of interest: Let p be the proportion of Olympia students who consider math their favorite subject.
Find the point estimate: The point estimate of p is the sample proportion of students who consider math their favorite subject, which is 93 / 300 = 0.31.
Find the standard error: The standard error of the point estimate is given by the formula:
SE = sqrt(p * (1 - p) / n), where n = 300 (the sample size).
Construct the confidence interval: A 95% confidence interval for p can be constructed using the point estimate and the standard error:
p ± 1.96 * SE.
The 95% confidence interval for p is: 0.31 ± 1.96 * SE = 0.31 ± 1.96 * sqrt(0.31 * 0.69 / 300) = (0.25, 0.37).
Interpretation: With 95% confidence, we estimate that the true proportion of Olympia students who consider math their favorite subject is between 0.25 and 0.37.
± −100 =±plus minus, square root of, minus, 100, end square root, equals, plus minus
Answers
Which of the following statements about a monopsonistic labor market is true?
Answers
There are different kinds of market. The statement about a monopolistic labor market that is true is that the marginal factor cost of labor is greater than the wage rate.
A monopolistic labor market is commonly described as a type of market where only one buyer of labor exist but there are a lot of sellers.This is known to influence or leads to changes in the analysis of labor markets and the marginal factor cost is said to be more higher than the supply of labor in this kind of market.
Conclusively, in this type of market, the employer has the main buying power over their potential employees and this making them to have the wage-setting power in the labor market.
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Which of the following statements is true about a monopsony labor market?
answer choices
The marginal factor cost of labor is greater than the wage rate
There is one seller and many buyers.
The firm can set wages at whatever price they want.
There are no profits.
The profit maximizing choice of labor will be at the intersection of labor supply and labor demand.
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The writer is considering deleting the phrase “which many critics consider the first science fiction novel,” in sentence 5 (reproduced below).
In Mary Shelley’s Frankenstein (1818), which many critics consider the first science fiction novel, the scientist Victor Frankenstein creates a new form of human life, only to find his creation hideous and regret his actions.
Which of the following factors is most important for the writer to consider when deciding whether to keep or delete the phrase?
Answers
The following factors should be considered by the writer when deciding whether to delete or maintain the phrase: E. Whether or not Frankenstein will be regarded as a science fiction novel by the audience.
What is the definition of a science fiction novel?
A science fiction novel is a work of speculative fiction that explores futuristic and innovative ideas regarding scientific and technological advancements.
It would be incorrect or misleading to claim that Frankenstein is the first science fiction novel if it was not considered a science fiction novel.
If the writer is debating whether to delete or preserve the phrase, the following factors should be considered: E. Whether or not Frankenstein will be regarded as a science fiction novel by the public.
Who was the first actor to exist?
Answers
Estuary provides refuge after dam removal for bull trout
Bull trout use a bewildering array of strategies to aid in their survival, from remaining in streams their whole lives, like rainbow trout, to spending part of their lives in the ocean before returning to
streams to spawn, just as salmon do.
Bull trout are present in only one of two neighboring rivers in the Olympic peninsula, Washington state, and in this one (the Elwha River), where two large dams were removed. Dam removal resulted
in massive outflow of sediments, reducing the clarity of the water and also building up a large delta and expanding the size of the estuary at the mouth of the Elwha River.
Sampling for bull trout before, during, and after dam removal was used to detect whether bull trout changed their use of the Elwha River estuary or moved into the adjacent Salt Creek stream where
they were formerly absent. Sampling revealed no movement into Salt Creek, but numbers of bull trout in the Elwha River estuary increased greatly during and immediately after dam removal,
coinciding with large sediment outflow, before returning to their original low levels. Thus, bull trout appear to have used the enlarged estuary as a refuge from the effects of dam removal, then
returning to the river when the river water cleared up from the sediment
Of additional interest is the long-term response of bull trout to the additional habitat opened up above the former dams.
Lincoln, A. E. J. A. Shaffer, and T. P. Quinn. 2018. Opportunistic use of estuarine habitat by juvenile ENI Trout, Salvelinus confluentus, from the Elwha River before, during, and after dam removal.
Environmental Biology of Fishes 101:1559-1569
Which of the following best identifies the author's claim?
Answers
Answer:
Bull trout are unable to live in high sediment loaded waters and migrated to avoid the conditions introduced during dam deconstruction.
The option that identifies the author's claim is that D. Bull trout are unable to live in high sediment loaded waters and migrated to avoid the conditions introduced during dam deconstruction.
The claim of a passage is the idea that's conveyed by the author to the readers or audience. It's simply what the author wants the people to know.
From the passage, the claim is that bull trout are unable to live in high sediment loaded waters and migrated to avoid the conditions introduced during dam deconstruction.
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Which of the following is a true statement about the role of the media in providing citizens
with information?
A. Investigative reporting dominates the news because it is less expensive than political
commentary.
B. Demand for instantaneous news reporting has led to the growth of 24-hour news
operations and a shift to online media consumption.
C. The media is increasingly controlled by the major political parties, who determine
which stories are covered by the press.
D.
There has been an increase in social media and Internet news consumption by the
public, causing the top five media conglomerates to have greater control over public
Correct answer is B
Answers
The true statement about the role of the media is: B. Demand for realtime news led to the growth of 24-hour news operations and a shift to online media consumption.
What is media?Media can be defined as an institution that is established and saddled with the responsibility of providing adequate, factual and reliable news information to the people living within a geographical location, either through print or online medium.
This ultimately implies that, a key role of of the media in providing citizens with information is that an increase in the demand for instantaneous and real-time news reporting has led to the growth of 24-hour news operations and a shift to online media consumption
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What is the difference between traditional and activist views of the constitution
Answers
All members of the United Nation 193?
Answers
There are 193 member states in the United Nations.
The United Nations (UN) is a global organization founded in 1945 with the aim of maintaining international peace and security. It has 193 member states and serves as a forum for nations to cooperate on issues ranging from humanitarian assistance and development to human rights and security challenges.
The UN is headquartered in New York City and is comprised of several major organs, including the General Assembly, the Security Council, the International Court of Justice, and the Secretariat. All 193 member states of the UN are represented in the General Assembly, which is the main deliberative body of the organization.
The UN's membership has grown over time, with its most recent member being South Sudan, which joined in 2011. The UN Charter lays out the principles of the organization, including the obligation of member states to maintain international peace and security, respect for human rights and fundamental freedoms, and the promotion of social progress and development.
Through its various programs and agencies, the UN works to address a wide range of global challenges, including poverty, hunger, disease, climate change, and conflict. Its efforts to promote sustainable development and protect human rights are central to its mission, as is its role in promoting international cooperation and understanding.
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Which model of urban growth best describes large edge cities that build up around an inner city?
concentric
sector
density gradient
peripheral
smart growth
Answers
Answer:
Smart Growth
Explanation:
PLS HELP GIVE BRAINLIEST!!!! Which of the following is an important cultural landmark for the Christians?
A. Mecca and Medina
B. the Tombs of the Prophets
C. the ancient mosque of Al Aqsa
D. the Via Dolorosa
Answers
Answer:
d
Explanation:
Answer:
d
Explanation:
I will mark brainliest Product A and Product B are complementary products. Which situation would
lead to an increase in demand for Product B?
O A. Demand for Product A increases
B. Supply of Product A increases.
O C. Demand for Product A decreases
O D. Supply of Product A decreases.
Answers
Answer:
supply of product a decreases
c) At the end of the day, the records show that 140 customers made a purchase at the store that day.
What are the mean and standard deviation of the number of customers who won a discount of at
least 30%?
Answers
Answer:
The right solution is "5.92". A further solution is provided below.
Explanation:
The given values are:
Total number of customer,
n = 140
The probability of 30% discount,
= \(\frac{1}{2}\)
Somewhat by binomial distribution we could perhaps calculate the mean as well as the mean of the standard deviation will be:
= \(140\times \frac{1}{2}\)
= \(70\)
Now,
The standard deviation will be:
= \(\sqrt{np(1-p)}\)
On substituting the given values, we get
= \(\sqrt{140\times \frac{1}{2}(1-\frac{1}{2} ) }\)
= \(\sqrt{70(1-\frac{1}{2} )}\)
= \(\sqrt{35}\)
= \(5.92\)
A searchlight uses a parabolic mirror to cast a beam of light in parallel rays where the light bulb is located at the focus of the parabola in order to give the best illumination. The mirror is modeled by y2 = 20(x – 10), where the measurements are in cm. What is the location of the light bulb?
(10, 0)
(20, 0)
(12, 0)
(15, 0)
Answers
The location of the light bulb is (15, 0)
A concave mirror that has been specifically designed to capture and concentrate energy on a particular area is known as a parabolic mirror.
What is parabolic mirror ?A reflective surface used to collect or project energy such as light, sound, or radio waves is known as a parabolic (or paraboloid or paraboloidal) reflector, dish, or mirror. Its form is a component of a circular paraboloids, or the surface produced by a parabola rotating around its axis.Parabolic mirror whose equation is z=a(x2+y2), where a=1, and whose symmetry axis coincides with the z-axis. The reflection property of a rotating paraboloid, which is used in satellite dishes and car headlights, is a remarkable property.A concave mirror that has been specifically designed to capture and concentrate energy on a particular area is known as a parabolic mirror.
y² = 2px
The focus is (p/2, 0)
x- 10 = u
y2 = 20u
So, the focus for U = ( ; 0)
The focus for x = ( ; 10, 0)
= 5 , 10, 0
= (15, 0).
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