if z = f(x − y), use the chain rule to show that ∂z ∂x ∂z ∂y = 0.

Answer:

53∘

plz mark me as brainliest.

M = -2n - 13

hope this helps

The answer is (C) 2 * I v3/1+9ydy. The area of the surface generated by revolving about the y-axis the arc of x=y from y=0 to y=1.

To find the area of the surface generated by revolving about the y-axis the arc of x=y from y=0 to y=1, we can use the formula:

A = 2π ∫[a,b] x(y) √(1 + (dx/dy)^2) dy

In this case, x=y and a=0, b=1. Therefore:

A = 2π ∫[0,1] y √(1 + (dx/dy)^2) dy

We can find dx/dy by taking the derivative of x=y with respect to y:

dx/dy = 1

Substituting this into the formula, we get:

A = 2π ∫[0,1] y √(1 + 1^2) dy

Simplifying under the square root:

A = 2π ∫[0,1] y √2 dy

Evaluating the integral:

A = 2π (√2/3) [1^3 - 0^3]

Simplifying:

A = (4π/3)√2

Therefore, the answer is (C) 2 * I v3/1+9ydy.

Learn more about area here

https://brainly.com/question/25292087

#SPJ11

The increase in the selling price is 1.818.

Test statistic:

A test statistic is a statistic used in statistical hypothesis testing. A hypothesis test is typically specified in terms of a test statistic, considered as a numerical summary of a data-set that reduces the data to one value that can be used to perform the hypothesis test.

The given values are:

a = 0.1

x = 94

μ = 90

The formula for test statistic will be:

t = ((x- μ) / (\(\frac{s}{vn}\))

Now put the values in the given equation we have:

t = (94-90) / (\(\frac{22}{10}\))

 = 4/2.2

  = 1.818

Therefore the increase in the selling price is 1.818.

To know more about the selling price refer to the link given below:

https://brainly.com/question/1153322

#SPJ4

From the quadrilateral proof seen below we can prove that;

∠C + ∠D = 2∠AOB

The bisection of an angle simply means to divide an angle into two equal parts.

The sum of the interior angles of a quadrilateral is 360 degrees. Thus;

∠A + ∠B + ∠C + ∠D = 360°     ------(1)

In △AOB,

∠AOB + ∠A/2 + ∠B/2 = 180°

Multiply through by 2 to get;

2∠AOB + ∠A + ∠B = 360°

Thus;

∠A + ∠B = 360° - 2∠AOB

Put 360° - 2∠AOB for ∠A + ∠B in eq 1 to get;

360° - 2∠AOB + ∠C + ∠D = 360°

This simplifies to;

∠C + ∠D = 2∠AOB

Read more about Bisected Angles at; https://brainly.com/question/24334771

#SPJ1

Complete question is;

Bisectors of two adjacent angles of angles A and B of quadrilateral ABCD intersect at a point O. Prove that 2∠AOB = ∠C + ∠D

Since η² ≈ 0.33 and not 0.50, the statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η² = 0.50" is false.

ANOVA, or Analysis of Variance, is a statistical method used to compare the means of two or more groups to determine if there are any statistically significant differences between them. It is commonly used in experimental and observational studies to analyze the variance between group means and within-group variability.

ANOVA tests the null hypothesis that the means of the groups are equal, against the alternative hypothesis that at least one of the group means is different. It calculates the F-statistic, which compares the between-group variability to the within-group variability. If the F-statistic is large enough and exceeds a critical value, it indicates that there is evidence to reject the null hypothesis and conclude that there are significant differences between the group means.

We can determine if η² = 0.50 is true or false by calculating the effect size η² using the provided SS between and SS within values.
η² = SS_between / (SS_between + SS_within)
η² = 20 / (20 + 40)
η² = 20 / 60
η² = 1/3 ≈ 0.33
To know more about variance, visit:

https://brainly.com/question/31432390

#SPJ11

True, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

The formula to calculate eta squared (η2) is:
η2 = SSbetween / (SSbetween + SSwithin)
If SSbetween = 20 and SSwithin = 40, then:
η2 = 20 / (20 + 40) = 0.5
Therefore, η2 = 0.50, which means that 50% of the total variance in the dependent variable can be attributed to the independent variable (or factor) being analyze. The statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50" is true. To determine η 2 (eta-squared), you'll need to calculate the proportion of total variance explained by the between-group variation. This can be done using the formula η 2 = SS between / (SS between + SS within). In this case, η 2 = 20 / (20 + 40) = 20 / 60 = 0.50. Therefore, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

To know more about variable visit:

https://brainly.com/question/15078630

#SPJ11

Find AB , AC , DE and DF. If the ratios DE/AB and DF/AC are equal , then the triangles are similar

Given data ,

Let the first triangle be ΔABC

Let the second triangle be ΔDEF

Now , the corresponding sides are

DE/AB and DF/AC

Now , corresponding sides of similar triangles are in the same ratio.

On simplifying , we get

DE/AB = DF/AC

Hence , the triangles are similar

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ1

Answer:

The baby's weight increased by 12%

Step-by-step explanation:

Subtract 44 by 32 and you get 12 .<3

Integral is \(\int_0^{27} (sin x)/x dx\) ≈ 0.246918974 (rounded to nine decimal places).

To approximate the integral ∫₀²⁷ (sin x)/x dx with an error of magnitude less than 10⁻⁸ using series, we can use the Maclaurin series expansion of sin x:

sin x = x - (x³/3!) + (x⁵/5!) - (x⁷/7!) + ...

Substituting this series into the integral, we get:

∫₀²⁷ (sin x)/x dx = ∫₀²⁷ (x - (x³/3!) + (x⁵/5!) - (x⁷/7!) + ...) / x dx

= ∫₀²⁷ (1 - (x²/3!) + (x⁴/5!) - (x⁶/7!) + ...) dx

= [x - (x³/(33!)) + (x⁵/(55!)) - (x⁷/(7 × 7!)) + ...]

Evaluated from x = 0 to x = 0.27

Using the first four terms of this series, we get:

∫₀²⁷ (sin x)/x dx ≈ [0.27 - ((0.27)³/(33!)) + ((0.27)⁵/(55!)) - ((0.270)⁷/(7×7!))]

= 0.246918974

To estimate the error of this approximation, we can use the remainder term of the Maclaurin series:

|Rn(x)| ≤ M(x-a)ⁿ⁺¹/(n+1)!

M is an upper bound for the nth derivative of sin x, and a = 0 for the Maclaurin series.

The sin x Maclaurin series, we can use M = 1.

Using the fifth term of the series as the remainder term, we get:

|R5(0.27)| ≤ ((0.27)⁶)/(6!)

≈ 1.96 x 10⁻⁸

Since this is less than 10⁻⁸, we can conclude that our approximation is accurate to the desired level of precision.

\(\int_0^{27} (sin x)/x dx\) ≈ 0.246918974 (rounded to nine decimal places).

For similar questions on Integral

https://brainly.com/question/27419605

#SPJ11

The value of the integral, to an error of magnitude less than 10^-8, is approximately 0.24618491.

To approximate the value of the integral with an error of magnitude less than 10^-8, we can use the Taylor series expansion of sin x/x about x=0. We have:

sin x/x = 1 - x^2/3! + x^4/5! - x^6/7! + ...

Integrating this series term by term from 0 to 0.27, we obtain:

integral 0.27 0 sin x/x dx ≈ 0.27 - 0.27^3/3!/3 + 0.27^5/5!/5 - 0.27^7/7!/7 + ...

We can use the alternating series estimation theorem to estimate the error in the approximation. The terms of the series decrease in magnitude and alternate in sign, so the error is less than the absolute value of the first neglected term, which is 0.27^9/9!/9. This is less than 10^-8, so we can stop here and round the approximation to nine decimal places:

integral 0.27 0 sin x/x dx ≈ 0.24618491

Find out more about integral

brainly.com/question/31961817

#SPJ11

Answer:

3.584 ×\(10^{18}\)

Answer:

D, it looks like it goes on forever and ever so it is all real numbers.

Mr. Moore needs 13.5 cubic feet of soil to fill the planter box.

To calculate the volume of the rectangular prism planter box, we need to multiply the length, width, and height of the box.

Volume = length x width x height

V = 4.5 ft x 2 ft x 1.5 ft

V = 13.5 cubic feet

Therefore, Mr. Moore needs 13.5 cubic feet of soil to fill the planter box.

It is important to note that the volume of the box represents the amount of space inside the box and does not take into account any obstructions or irregularities that may be present inside the box.

Thus, the actual amount of soil required may be slightly different from the calculated value. Additionally, it is always a good idea to add some extra soil to account for settling and to ensure that the planter box is completely filled.

To learn more about planter box

https://brainly.com/question/11911669

#SPJ4

Step-by-step explanation:

1/5×80=80/5=16 because 1/5 out of 80 means to multiply 1/5 by 8o so the answer to that question is 16.

48÷1/2=48×2/1=96/1=96 because when you divide a fraction by fraction or a fraction with a number there is a rule that says you have to reverse the fraction on the right side and replace the division sign to a multiply sign and multiply. so the answer becomes 482)×2/1 which equals 96.

Answer:D

Step-by-step explanation:

Calculate the side length of the enlarged picture

Answer:

Hence, final picture will have a side length of 1.02 foot

Step-by-step explanation:

Side length of square photo, s = 0.17

Original dimension = (0.17 by 0.17)

Enlarged photo = double the original dimension:

2 * (0.17 * 0.17)

(0.34 * 0.34)

Second enlargement = Tripling the new dimension:

3 * (0.34 * 0.34)

(1.02 * 1.02)

Hence, final enlarged dimension = (1.02 * 1.02)

Hence, final picture will have a side length of 1.02 foot

22/35+35x3

Division comes first.

22/35=0.62857142857 or just 0.629, or 0.63

0.63+35x3

Now we multiply.

35x3=105

So now we have 0.63+105.

Lastly, we add.

0.63+105=105.63

The answer is 105.63.

---

hope it helps

Answer:

210

Step-by-step explanation:

1: Part/whole=%/100

2: 100-5=95

3: 3150/30=$105 uniforms.

Answer: $210

Hope this helps.

Using the exchange rate, Amy converted $75 into pounds.

The exchange rate is the unit at which one currency is changed to or converted into another.

The exchange rate converts a country's currency into another.

The exchange rate shows the worth of one currency against another.

Exchange rate = $1: £0.54

Amount received = £40.50

The dollars converted into pounds = $75 (£40.50/£0.54)

Check:

$75 to pounds = £40.50 ($75 x £0.54)

Thus, we can conclude that more dollars buy fewer Australian dollars at this exchange rate.

Learn more about the exchange rates at https://brainly.com/question/2202418

#SPJ1

Answer: B) 6.5

Step-by-step explanation:

   We will use the Pythagorean theorem to solve. The "c" variable is the hypotenuse and the other variables are the legs.

a² + b² = c²

3.6² + b² = 7.4²

12.96 + b² = 54.76

b² = 41.8

b = \(\sqrt{41.8}\)

b ≈ 6.5

     The length of the missing side is about B) 6.5.

Answer:

B)6.5

Step-by-step explanation:

H²=P²+B²

7.4²=3.6²+B²

B=√41.8

B=6.465≈ 6.5

Using divisibility concepts, it is found that the missing digit is 3.

----------------------------

----------------------------

\(1 + 2 + 3 + 1 + 2 + 3 + 1 + 2 + 3 + 1 + 2 + 3 + 1 + 2 + 3 + 1 + 2 + x = 33 + x\)

Thus, it is needed that:

\(33 + x = 36\)

\(x = 36 - 33 = 3\)

The missing digit is 3.

A similar problem is given at https://brainly.com/question/4251470

Answer:

Kindly check explanation

Step-by-step explanation:

Total number of coin flips = 50

Number of times both coins landed head up = 20.

Hence probability of having two heads :

Probability = required outcome / Total possible outcomes

P(both heads up) = 20/50

Comparing 20/50 to 50%

We convert 20/50 to percentage :

(20/50) × 100%

0.4 × 100% = 40%

20/50 is equivalent to 40%

Hence, 40% is less than 50%

Answer:

D- 22

Step-by-step explanation:

The rectangle would be 9 units tall and 2 units wide.     2 x 2 = 4   9 x 2 = 18     4 + 18 = 22

The blue rectangle is what the rectangle would look like.

Answer:

24 A-(8+8)

Step-by-step explanation:

Answer: 4(6a-4) This is one equivalent expression of 24a-16.

Answer:

8.6 which is closes to c=8.5

Step-by-step explanation:

*See Photo*

The distance between Mr. Chew and Puppy is 8.54 miles. Therefore, option C is the correct answer.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, the puppy runs in straight lines 5 miles west of Mr. Chew and then 7 miles north.

Let the distance between Mr. Chew and Puppy be x

Using Pythagoras theorem, we get

x²=5²+7²

x²=74

x=√74

x= 8.54 miles

Therefore, option C is the correct answer.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

#SPJ1

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

Learn more about Scheduling here:

brainly.com/question/30012511

#SPJ4

We use techniques such as Taylor series or Maclaurin series expansions. These methods involve evaluating derivatives of the function at a chosen center point and dividing by the corresponding factorial value.

To find the first few coefficients in a power series, we need to determine the coefficients of each term in the series expansion. The power series representation of a function can be expressed as:

f(x) = c0 + c1x + c2x^2 + c3x^3 + ...

Each coefficient c0, c1, c2, c3, and so on, represents the coefficient of the corresponding term in the power series.

The specific coefficients depend on the function being represented and the center of the series expansion. Without specifying the function, it is not possible to provide the exact coefficients. However, I can explain the general method for finding the coefficients in a power series.

To find the coefficients, we typically use techniques such as Taylor series or Maclaurin series expansions. These methods involve finding the derivatives of the function at a chosen center point and evaluating those derivatives at that point.

For example, if we want to find the coefficients of the power series expansion of a function f(x) centered at x = a, we can use the formula:

cn = fⁿ(a) / n!

where fⁿ(a) represents the nth derivative of the function evaluated at x =

a, and n! is the factorial of n.

By calculating the derivatives of the function and evaluating them at the center point, we can determine the coefficients for each term in the power series.

Learn more about expansion here:

https://brainly.com/question/30642466

#SPJ11

The schedule for the number of hours worked by employees at Waterloo Park is represented by the functions b(x), t(x), r(x), and s(x) for Bill, Ted, Rufus, and Socrates, respectively, on a given day x.

In the schedule, the function b(x) represents the number of hours worked by Bill on a given day x. Similarly, the function t(x) represents the number of hours worked by Ted, the function r(x) represents the number of hours worked by Rufus, and the function s(x) represents the number of hours worked by Socrates on the same given day x.

By using these functions, you can determine the specific number of hours each employee worked on any given day. For example, if you have a value for x, you can substitute it into the functions to find the corresponding number of hours worked by each employee.

It's important to note that the functions b(x), t(x), r(x), and s(x) are specific to Waterloo Park and the employees mentioned. The given schedule provides a way to track the hours worked by each employee on different days. By utilizing these functions, you can analyze and calculate the hours worked by each employee effectively.

For more similar questions on Waterloo Park

brainly.com/question/32867226

#SPJ8

Answer:

the original numbers are 5 and 2

Step-by-step explanation:

fistly it says inorder to find x one has to add the larger number to the square of the smaller number. So in this case start off with smaller guesses of positive integers as it is simpler that way.

the first guesses that would end up giving you 9 as an answer is 5 and 2

So now that the integers chosen fit in when calculating x we have to check if it also checks out in calculating y.

For y the difference between the 2 integers have to give an answer of 3. after calculations it the numbers comply to the statement for y;

hence the answers are 5 and 2