Q10) Solution of x' = 3x - 3y, y = 6x - 3y with initial conditions x(0) = 4, y(0) = 3 is Q9) Solution of y- 6y' +9y = 1 y(0) = 0, 7(0) = 1. is Q3) Solution of y+ y = 0 is Q4) Solution of y cos x + (4 + 2y sin x)y' = 0 is
Answers
In question 10, the solution of the given system of differential equations is needed. In question 9, the solution of a single differential equation with initial conditions is required. In question 3, the solution of a simple differential equation is needed. Lastly, in question 4, the solution of a first-order linear differential equation is sought.
10. The system of differential equations x' = 3x - 3y and y = 6x - 3y can be solved using various methods, such as substitution or matrix operations, to obtain the solutions for x and y as functions of time.
11. The differential equation y - 6y' + 9y = 1 can be solved using techniques like the method of undetermined coefficients or variation of parameters. The initial conditions y(0) = 0 and y'(0) = 1 can be used to determine the particular solution that satisfies the given initial conditions.
12. The differential equation y + y = 0 represents a simple first-order linear homogeneous equation. The general solution can be obtained by assuming y = e^(rx) and solving for the values of r that satisfy the equation. The solution will be in the form y = C1e^(rx) + C2e^(-rx), where C1 and C2 are constants determined by any additional conditions.
13. The differential equation y cos(x) + (4 + 2y sin(x))y' = 0 is a first-order nonlinear equation. Various methods can be used to solve it, such as separation of variables or integrating factors. The resulting solution will depend on the specific form of the equation and any initial or boundary conditions provided.
Each of these differential equations requires a different approach to obtain the solutions based on their specific forms and conditions.
Learn more about differential equations here:
https://brainly.com/question/32806349
#SPJ11
Related Questions
HELP ME WITH THIS ASAP TYSM
Answers
Answer:
6 + 21r
Step-by-step explanation:
3 ( 2 + 7r )
3 ( 2 ) = 6
3 ( 7r ) = 21r
6 + 21r
Hope this helps dude ^-^
Answer: 6 + 21r
Step-by-step explanation:
distribute the 3 to each thing in the parentheses
so 3(2 + 7r) becomes
3(2) + 3(7r)
6 + 21r
What multiplication equattion can be used to explain the solution to 15 / 1/3
Answers
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
Reciprocal of 1/3 = 3/1
So, the multiplication equation that explains the solution is:
15 * (3/1) = 45
Therefore, 15 divided by 1/3 is equal to 45.
Muriel told Shana that one of the products in the table was incorrect.
Which value in the table is incorrect?
What is the value Shana should have written?
Answers
The product of numbers or expressions involve multiplying the numbers and the expressions
The incorrect value in the table is -2yThe correct value is -2xyHow to determine the incorrect valueFrom the table, we have the following product
2x* -y = -2y
or
-y * 2x =-2y
The above equation is incorrect.
This is so because, the product of 2x and -y is -2xy, not 2y
Hence, the incorrect value in the table is -2y and the correct value is -2xy
Read more about products at:
https://brainly.com/question/10873737
Answer:
A and B
Step-by-step explanation:
to the nearest tenth of a kilometer, how many kilometers are in a mile?
Answers
Answer:
1.6 kilometers
Step-by-step explanation:
Umm... sorry...
I can't think of an explanation.
I memorized the answer (because I do track and field)
Well, feel free to tell me if I did anything wrong! :)
Help with this question please?
Henry will be tossing a coin twice. Which list represents all possible outcomes?
Responses
A Head, tailHead, tail
B Head, head
Tail, tail
Head, tail
Tail, headHead, head Tail, tail Head, tail Tail, head
C Head, headHead, head
D Head, head
Tail, tail
Head, tail
Answers
Answer:
The correct answer is D: Head, head Tail, tail Head, tail Tail, head.
Step-by-step explanation:
When Henry tosses a coin twice, there are four possible outcomes, each with equal probability:
Head, head
Tail, tail
Head, tail
Tail, head
Which question can be answered by finding 3 1/2÷1/4
A.You have 3 1/2 meters of ribbon and use 1/4 meter. How much ribbon is remaining?
B.How much is 1/4 of a 3/1/2-meter long piece of ribbon?
C.How many 1/4-meter long pieces of ribbon are needed to have a total of 3 1/2 meters of ribbon?
Answers
Answer: Choice C.
How many 1/4-meter long pieces of ribbon are needed to have a total of 3 1/2 meters of ribbon.
==========================================================
Explanation:
Let's consider a similar problem without the fractions.
Let's say you want to know how many 2 meter lengths of ribbon you can cut from an overall length of 24 meters. That would be 24 ÷ 2 = 12 pieces total.
So we divide the two values (large ÷ small)
The same idea applies to this problem as well. The larger amount (3 & 1/2 meters) is what we cut up, and each slice is 1/4 of a meter. To find the number of pieces, we would compute 3 1/2÷1/4
Note: it might help to convert the mixed number 3 & 1/2 to the improper fraction 7/2
Answer:
znvipahgvahgv
Step-by-step explanation:
Ten samples of size four were taken from a process, and their weights measured. The sample averages and sample ranges are in the following table. Construct and plot an x-bar and R-chart using these data. Is the process in control?
Sample
Mean
Range
1
20.01
0.45
2
19.98
0.67
3
20.25
0.30
4
19.90
0.30
5
20.35
0.36
6
19.23
0.49
7
20.01
0.53
8
19.98
0.40
9
20.56
0.95
10
19.97
0.79
Answers
An x-bar and R-chart were constructed using the given data. The x-bar chart displays the sample averages, while the R-chart shows the sample ranges. By analyzing these charts, we can determine if the process is in control.
To construct the x-bar and R-charts, we use the sample averages and sample ranges provided in the table. The x-bar chart helps us monitor the central tendency of the process, while the R-chart monitors the variability or dispersion within the samples.
Plotting the x-bar chart:
Calculate the overall mean (x-double bar) by averaging all the sample averages.
Calculate the average range (R-bar) by averaging all the sample ranges.
Calculate the control limits for the x-bar chart using the formulas: Upper control limit (UCL) = x-double bar + A2 * R-bar, Lower control limit (LCL) = x-double bar - A2 * R-bar, where A2 is a constant factor depending on the sample size.
Plot the sample averages on the x-bar chart along with the control limits.
Plotting the R-chart:
Calculate the control limits for the R-chart using the formulas: UCL = D4 * R-bar, LCL = D3 * R-bar, where D3 and D4 are constant factors depending on the sample size.
Plot the sample ranges on the R-chart along with the control limits.
By examining the x-bar and R-charts, we can assess whether the process is in control. If the data points fall within the control limits, with no specific patterns or trends, the process is considered in control. If any data points fall outside the control limits or show non-random patterns, it suggests the process is out of control and further investigation is required.
LEARN MORE ABOUT mean HERE:
https://brainly.com/question/29029886
#SPJ11
THIS QUESTION IS INCOMPLETE HERE IS THE GENERAL SOLUTION.
Please help me on this
Answers
The solution to the limits (a) and (b) are 24 and 4 respectively.
Understanding LimitsGiven
lim f(x)=8
lim g(x)=-2
lim h(x)=0
Using the properties of limits and basic arithmetic operations, we can find the limit of the following:
(a) \(\lim_{x \to \ 3} [2f(x) - 4g(x)]\)
We can apply the properties of limits to each term separately:
lim [2f(x)] - lim [4g(x)] as x approaches 3.
Using the given information:
2 * lim f(x) - 4 * lim g(x) as x approaches 3.
Substituting the known limits:
2 * 8 - 4 * (-2) = 16 + 8 = 24.
Therefore, lim [2f(x) - 4g(x)] as x approaches 3 is equal to 24.
(b) \(\lim_{n \to \ 3} [2g(x)^{2} ]\)
We can apply the property of limits to the entire expression:
[lim (2g(x))]² as x approaches 3.
Using the given information:
[lim g(x)]² as x approaches 3.
Substituting the known limit:
(-2)² = 4.
Therefore, lim [2g(x)]² as x approaches 3 is equal to 4.
Learn more about limit here:
https://brainly.com/question/30679261
#SPJ1
Find the indefinite integral: ∫ x 3
2x 4
−x+5
dx. Show all work. Upload photo or scan of written work to this question item.
Answers
According to the question the solution to the indefinite integral is:
\(\[\int \frac{x^3}{2x^4 - x + 5} \, dx = \frac{1}{8} \ln|2x^4 - x + 5| + C\]\)
To solve the indefinite integral \(\(\int \frac{x^3}{2x^4 - x + 5} \, dx\)\), we can use partial fraction decomposition.
However, without any specific factors in the denominator, partial fraction decomposition may not be applicable. In such cases, we can try different approaches, such as substitution or integration by parts.
Let's attempt to solve this integral using a substitution:
Let \(\(u = 2x^4 - x + 5\), then \(du = (8x^3 - 1) \, dx\).\)
Rearranging the terms, we have:
\(\[\frac{1}{8} \int \frac{8x^3}{2x^4 - x + 5} \, dx = \frac{1}{8} \int \frac{du}{u}\]\)
Now, the integral becomes:
\(\[\frac{1}{8} \ln|u| + C\]\)
Substituting back \(\(u = 2x^4 - x + 5\),\) we have:
\(\[\frac{1}{8} \ln|2x^4 - x + 5| + C\]\)
Therefore, the solution to the indefinite integral is:
\(\[\int \frac{x^3}{2x^4 - x + 5} \, dx = \frac{1}{8} \ln|2x^4 - x + 5| + C\]\)
To know more about integral visit-
brainly.com/question/32515395
#SPJ11
How many solutions do -5n=3-5n have
Answers
Answer:
none
Step-by-step explanation:
if you try to get n to one side they would cancel each other out so there is no solution
Answer:
Step-by-step explanation:
-5n=3-5n
+3=+3-5n
-2n=6
/2=/2
n=3
This is a new subject in my math class and I don’t understand anything pls helppp
Answers
Answer:
the width is 21 feet
Step-by-step explanation:
because if each inch is equal to 3 feet 7x3=21 so its 21 feet yw have a great day
Given the following prices, explain why brand b is the better buy. (hint: 16 ounces = 1 pound and 1 pound = 453. 59 grams) brand a: 54 ounces for $4. 89 brand b: pounds for $3. 91 brand c: 910 grams for $3. 10.
Answers
Brand B is the better buy because it offers the most ounces for the lowest price.
To compare the prices of the three brands, we need to convert them to a common unit of measurement. Brand A is priced at $4.89 for 54 ounces, Brand B is priced at $3.91 for 16 ounces, and Brand C is priced at $3.10 for 910 grams. Since 16 ounces is equivalent to 1 pound and 1 pound is equivalent to 453.59 grams, we can convert the weight of Brand B and C to ounces. 910 grams is equivalent to 2.01 pounds, which is equivalent to 32.16 ounces.
A.
54oz, convert to lb
54/16=3.375lb
find per lb
4.89/3.375=$1.4488888 per lb
B.
2 and 3/4=2.75, 3.91/2.75=$1.42181 per lb
C. 910/453.59=2.00621lb
3.10/2.00621=$1.545 per lb
compare
A: $1.4488888 per lb
B: $1.42181 per lb
C: $1.545 per lb
It is observed from the above calculation that Brand B have lowest price per unit on ounce.
To learn more about the unit of measurement click below:
https://brainly.com/question/15402847#
#SPJ4
Which quantity may be calculated directly using Newton’s second law of motion?
Answers
For each of the values a=1, a=2,a=4, and a=6
Answers
What is the type? f(x)=-1/5x³-5+10x²
Answers
f(x) = -1.5x^3 + 10x^2 - 5
If x2 = 30, what is the value of x?
A. ±60
B. ±15
C. ±square root of 30
D. ±square root of 15
Answers
Answer:
The answer is B. 15
Step-by-step explanation:
x2=30
when you plug 15 in u get the equation 15x2=30
Answer:
B: 15
Step-by-step explanation:
2x=30.
2/2=30/2
x=15
Plz Brainlyest
PLEASE HELP ImAGE BELOW
Answers
Answer:
2.1968×10^10km cubed is the answer
You can make groups of 3, 4, or 9 pencils with none left over. What is smallest number of pencils you must have to make these groups?
Answers
Answer:
=36
Step-by-step explanation:
Step-by-step explanation:
for this we has to take the LCM of 3,4 and 9 to find the least common factor in between these three numbers.....
so we have to multiply 3×3×4
=36
so if we divide 36 by 3 ,4 OR 9
we will not find any remainder
Which of the following tables does not represent a function?
x y
-1 1
-2 1
-3 1
x y
-5 1
-5 -2
-5 -5
x y
-4 0
2 0
5 7
x y
-5 1
-3 -2
-1 -5
Answers
Answer:
The second table with all values of x = -5 does not represent a function. what the function and input value of x will return one and only one value for y. and this table when you input a value for x of -5 you get three different values therefore this table does not represent a function
Answer:
Step-by-step explanation:
The table
x y
-5 1
-5 -2
-5 -5
does not represent a function, because for the same input (-5) there are 3 different outputs.
Compare this to the table
x y
-5 1
-3 -2
-1 -5
in which all the inputs (x values) are unique (one of a kind) and each input has exactly one output (y value) connected to it.
Please answer with steps. Thank you and have a good day/night
Answers
The value of a of the given cube root expression is: a = 1
How to find the cube root of the expression?The cube root of a number is defined as that number which when multiplied 3 times gives us the original number. Whenever a number (x) is multiplied three times, then we can say that the resultant number is known as the cube of that number.
We are given the expression as:
∛(81x¹⁵y⁹)
Now, expressing this individually gives us the expression:
\(81^{\frac{1}{3} } * x^{\frac{15}{3}} * y^{\frac{9}{3}}\)
= 3¹x⁵y³
Thus, a = 1
Read more about Cube root at: https://brainly.com/question/24486461
#SPJ1
Jonah bought 3 packages of hot dogs and 2 packages of hot dog buns and paid $21.90. He went back and purchased 2 more packages of hot dogs and 5 more packages of hot dog buns and paid $23.40. ASSUMMING THERE WAS NO CHANGE IN THE INDIVIDUAL COST OF EACH ITEM:
What is the cost per package of hot dogs and hot dog buns?
IT IS NOT $7.30 AND $3.65!!!
Answers
Answer:
b = $2.40
d = $5.70
Step-by-step explanation:
d = hot dog and b = hot dog buns
Equations:
2d + 5b = $23.40
3d + 2b = $21.90
-------------------------------subtract these two equations
-d + 3b = $1.50
3b - $1.50 = d
Substitute:
3d + 2b = $21.90
3(3b - $1.50) + 2b = $21.90
9b - $4.50 + 2= $21.90
11b = 26.40
b = $2.40
Substitute again but this time with b:
3d + 2b = $21.90
3d + 2($2.40) = $21.90
3d + $4.80 = $21.90
3d = $21.90
d = $5.70
Solve the formula for the area of a parallelogram the height,
h.
A = bxh
h= _(use the / symbol to show division)
Answers
Answer:
h=A/b
Step-by-step explanation:
Think of putting number in the place of the letter, for example
A is 4
b is 2
h is 2
4=2 x 2 then plug the numbers in the right spot
2=4/2 then see what can be rearranged or what is left to make the
equation true
Word Problem:
Amanda and her best friend found some money buried in a field. They split the money evenly, each getting $24.28. How much money did they find?
Let x represent…...
B. Equation:
C. Solve:
D. Answer in a complete sentence:
Amanda and her best friend found ____ dollars buried in a field.
E. Check Answer:
please help!!
Answers
Answer:
$48.56
Step-by-step explanation:
24.28+24.28
28+28= 56
24+24=48
$48.56
Amanda and her best friend found an amount of $48.56 buried in a field.
What is amount?Amount is the multiplication of total number of quantities and total price.
Amount= number of quantity×price
Given that,
The amount got by Amanda and her friend is $24.28 each,
Let x represents the total amount of money.
Therefore, equation for the total amount,
x= 24.28 + 24.28
x= 48.56
The total amount of $48.56 Amanda and her friend found.
To know more about Amount on:
https://brainly.com/question/16629663
#SPJ2
Which graph shows a function with a range of all real numbers greater than or equal to –6?
Answers
At a 5% level of significance, does the performance of Chicago O'Hare airport differ from the nation as a whole? How did you achieve this conclusion? Explain.
Answers
At a 5% level of significance, if the calculated p-value is less than 0.05, we reject the null hypothesis and conclude that the performance of Chicago O'Hare airport is significantly different from the nation as a whole.
To determine whether the performance of Chicago O'Hare airport differs from the nation as a whole, a hypothesis test can be conducted.
Let the null hypothesis, H0, be that the mean departure delay time for Chicago O'Hare airport is equal to the mean departure delay time for the nation.
The alternative hypothesis, Ha, is that the mean departure delay time for Chicago O'Hare airport is not equal to the mean departure delay time for the nation.
A two-sample t-test can be used to determine whether the difference between the means is statistically significant.
At a 5% level of significance, if the calculated p-value is less than 0.05, we reject the null hypothesis and conclude that the performance of Chicago O'Hare airport is significantly different from the nation as a whole.
To know more about null hypothesis visit:
brainly.com/question/30821298
#SPJ11
A right cylinder with radius 3 centimeters and height 10 centimeters has a right cone on top of it with the same base and height 5 centimeters. Find the volume of the solid. Round your answer to two decimal places.
Answers
The volume of a cylinder can be calculated using the formula: V_cylinder = π * r^2 * h, where r is the radius and h is the height.
For the cylinder:
Radius (r) = 3 cm
Height (h) = 10 cm
V_cylinder = π * (3 cm)^2 * 10 cm
V_cylinder = 90π cm^3
The volume of a cone can be calculated using the formula: V_cone = (1/3) * π * r^2 * h, where r is the radius and h is the height.
For the cone:
Radius (r) = 3 cm
Height (h) = 5 cm
V_cone = (1/3) * π * (3 cm)^2 * 5 cm
V_cone = 15π cm^3
Now, we can find the total volume by adding the volume of the cylinder and the cone:
Total Volume = V_cylinder + V_cone
Total Volume = 90π cm^3 + 15π cm^3
Total Volume = 105π cm^3
To round the answer to two decimal places, we can approximate π as 3.14:
Total Volume ≈ 105 * 3.14 cm^3
Total Volume ≈ 329.7 cm^3
Therefore, the volume of the solid is approximately 329.7 cm^3.
2wto power of 2 minus 16w=12-48
Answers
The factor is (w-2)(w-12) and the solution of the expression is w =2 or 12
How to factorize and find the solution of an algebraic expression?
Given: 2wto power of 2 minus 16w=12w-48.
This expression can be written as 2w² - 16w = 12w-48
2w² - 16w = 12w-48
2w² - 16w-12w = -48
2w² - 28w + 48 = 0
Divide through by 2:
w² - 14w + 24 = 0
w² - 12w-2w + 24 = 0
Factorize:
(w-2)(w-12) = 0
w-2 = 0 or w-12 = 0
w =2 or 12
Therefore, the solution of 2w² - 16w = 12w-48 is w =2 or 12
Learn more about factorization on:
https://brainly.com/question/11434122
#SPJ1
what multiplication equation can you use to find 5 divided by 1/3
Answers
The multiplication equation to find 5 divided by 1/3 is 5 x 3 = 15.
What is division?The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.
At an elementary level the division of two natural numbers is, among other possible interpretations, the process of calculating the number of times one number is contained within another.
Unlike the other basic operations, when dividing natural numbers there is sometimes a remainder that will not go evenly into the dividend.
Division has two parts dividend and divisor.
Division is not commutative, meaning that a / b is not always equal to b / a.
Division is also not, in general, associative.
Division is traditionally considered as left-associative.
Division is right-distributive over addition and subtraction.
Division is shown in algebra and science by placing the dividend over the divisor with a horizontal line, also called a fraction bar, between them. For example, "a divided by b" can written as:
a/b
Now it is given that,
5 divided by 1/3
This can be expressed as,
5 divided by 1/3 = 5 ÷ 1/3
Since to convert the division of fraction into multiplication, we reciprocate the fraction
So, applying division we get,
5 ÷ 1/3 = 5 x 3
So, the multiplication equation is,
5 x 3
Now multiplying 5 and 3 we get,
5 x 3 = 15
this is the required multiplication equation of 5 divided by 1/3.
Thus, the multiplication equation to find 5 divided by 1/3 is 5 x 3 = 15.
To learn more about Division :
brainly.com/question/28032495
#SPJ1
Reflect (-5, 4) across the y-axis.
Then reflect the result across the x-axis.
Answers
Projecting the point (-5, 4) over the y-axis and projecting the result over the x-axis, we get the point (5, -4).
What is the coordinate point?The center of the coordinate system and the intersection of the lines and called the origin. The axes intersect when both x and y are zero. The coordinates of the starting point are (0, 0). An ordered pair contains the coordinates of a point in a single coordinate system.
To reflect a point across the y-axis, we cancel its x-coordinate, leaving its y-coordinate unchanged. So reflecting the point (-5, 4) across the y-axis gives the point (5, 4).
To reflect a point across the x-axis, we cancel its y-coordinate and leave its x-coordinate unchanged. Thus, reflecting the point (5, 4) across the x-axis results in the point (5, -4).
Therefore, projecting the point (-5, 4) over the y-axis and projecting the result over the x-axis, we get the point (5, -4).
Learn more about coordinate system here
https://brainly.com/question/29762404
#SPJ1
Which name applies to the apple pair at the right?
Answers
When two angles sum up to 90° they are called complementary angles.
Since the sum of angle 1 and angle 2 = 90°, they will be called each other's complements.
Thus, the angle pair is called complementary angles.
▪︎Therefore, the correct option is (C) complementary