3 years ago

Find the perimeter of the

Mathematics

1 answer:

anzhelika [568]3 years ago

7 0

167

hope that helps :)))

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Suppose f(x, y) is a differentiable function of x and y and let g(r, s) = f (2rs, 8s − 2r). Use

worty [1.4K]

By the chain rule,

$\dfrac{\partial g}{\partial r} = \dfrac{\partial f}{\partial r} \\\\ ~~~~~ = \dfrac{\partial f}{\partial x} \dfrac{\partial x}{\partial r} + \dfrac{\partial f}{\partial y} \dfrac{\partial y}{\partial r} \\\\ ~~~~~ = 2 s \dfrac{\partial f}{\partial x} - 2 \dfrac{\partial f}{\partial y}$

where $x(r,s)=2rs$ and $y(r,s)=8s-2r$ .

If $r=2$ and $s=1$ , then

$x = 2\cdot2\cdot1 = 4$

$y=8\cdot1-2\cdot2 = 4$

so that

$g_r(2,1) = 2\cdot1 f_x(4,4) - 2 f_y(4,4) = 2\cdot2-2\cdot3 = \boxed{-2}$

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1 year ago

The product of 4 and a number is 5.6.<br><br> What is the number?

hodyreva [135]

Let this number be represented by the variable "n"

product of 4 and n is multiplying4 and n

4 * n = 5.6

divide 4 to both sides to isolate the variable on one side

n=1.4

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2 years ago

How many quarts are there in 12 gallons and 3 quarts? enter the number only. Do not include units

lidiya [134]

Answer:

Step-by-step explanation:

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3 years ago

Please help. Thank you in advance.

ivolga24 [154]

Answer:

The second choice is the same so it is the last one