3 years ago

Use the Pythagorean theorem to find y.

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

8 0

Answer:

19.1

Step-by-step explanation:

13²+14²=365

√365≈ 19.1

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78 tickets left to be sold

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87-9=78

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Suppose z equals f (x comma y ), where x (u comma v )space equals space 2 u plus space v squared, y (u comma v )space equals spa

barxatty [35]

$z=f(x(u,v),y(u,v)),\begin{cases}x(u,v)=2u+v^2\\y(u,v)=3u-v\end{cases}$

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By the chain rule, we have

$\dfrac{\partial z}{\partial v}=\dfrac{\partial z}{\partial x}\dfrac{\partial x}{\partial v}+\dfrac{\partial z}{\partial y}\dfrac{\partial y}{\partial v}$

and

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$\dfrac{\partial y}{\partial v}=-1$

Then

$\dfrac{\partial z}{\partial v}(1,2)=\dfrac{\partial z}{\partial x}(6,1)\dfrac{\partial x}{\partial v}(1,2)+\dfrac{\partial z}{\partial y}(6,1)\dfrac{\partial y}{\partial v}(1,2)$

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The points (3, 0), (x,0) , (x, 1/x2) , and (3, 1/x2) are the vertices of a rectangle, where x≥3, as shown in the figure above. F

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Step-by-step explanation:

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shusha [124]

Hello.

1. Switch y and x.
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2. Isolate y.
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y = sqrt[(x + 4)/(10)]
3. Replace y with f^-1(x)
f^-1(x) = sqrt[(x + 4)/(10)]

Good luck to you!

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3 years ago