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Nat2105 [25]
3 years ago
14

Find the differential of the function. v = 2y cos(xy)

Mathematics
1 answer:
erica [24]3 years ago
4 0
Given a function f(x,y), the differential of f is given by
df = f_x dx + f_y dy
where f_x is the derivative of f(x,y) with respect to x, while f_y is the derivative of f(x,y) with respect to y.

The function of our problem isf(x,y)=2y \cos(xy)
The derivative in x is
f_x = 2y(-y \sin (xy))=-2y^2 \sin (xy)
The derivative in y is
f_y = 2 \cos (xy) + 2y (-x \sin (xy))=2 \cos (xy) - 2xy \sin (xy)

So, the differential of f(x,y) is
df= -2y^2 \sin (xy) dx + (2 \cos (xy) - 2xy \sin (xy))dy
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41x0x3 what property is this
Drupady [299]

The Multiplication Property of Zero.

It states "the product of any number and zero is zero". Even if there are more than one multiplier - it is still 0.

So 5 x 0 = 0

100 x 0 = 0

41 x 0 x 3 = 0

etc.

6 0
3 years ago
Read 2 more answers
Simplify <br> Rewrite the expression in the form z^n<br><br> z^5•z^6= ______
gtnhenbr [62]

Answer:

z²^30

Step-by-step explanation:

This is it enjoy.

4 0
3 years ago
The standard deviation of a sample taken from population A is 17.6 for a sample of 25.
lawyer [7]

Answer:

The standard deviation of the sample mean differences is _5.23_

Step-by-step explanation:

We have a sample of a population A and a sample of a population B.

For the sample of population A, the standard deviation \sigma_A is

\sigma_A = 17.6

The sample size n_A is:

n_A = 25.

For the sample of population B, the standard deviation \sigma_B is

\sigma_B = 21.2

The sample size n_B is:

n_B = 30.

Then the standard deviation for the difference of means has the following form:

\sigma=\sqrt{\frac{\sigma_A^2}{n_A}+\frac{\sigma_B^2}{n_B}}

Finally

\sigma=\sqrt{\frac{17.6^2}{25}+\frac{21.2^2}{30}}\\\\\sigma= 5.23

7 0
3 years ago
1. a motor car race is 500 miles long and consists of completing laps of a circular speedway
Zarrin [17]

The function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long, option (d) is correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

y represents the number of miles a motor car has left to go in the race

x represents the number of laps completed by the motor car

The total number of miles if we consider only circular speedways = 2.5x

The total number of miles:

y = 2.5x + 500  (because 500 is the constant)

Thus, the function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long option (d) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

7 0
2 years ago
Hello I'm Chloe Can you help me, Thank you :)
andrew-mc [135]

Answer:

b is correct

Step-by-step explanation:

3 0
3 years ago
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