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lora16 [44]
3 years ago
8

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}

5 0
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]

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Step-by-step explanation:

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Please help. Thank you in advance.
ivolga24 [154]

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

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What is 10 times 10 times 10 times 10 times 10 in exponent form and word form what is the answer
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10^{5} in exponent form and in word form it is 10 to the 5th power
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