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zaharov [31]
2 years ago
7

F(x)=x4−6x3+54x−81given that 3and −3are zeros

Mathematics
1 answer:
Lemur [1.5K]2 years ago
5 0

Step-by-step explanation:

the answer is in the image above

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Alex73 [517]
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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}

We're given that f_x(6,1)=3 and f_y(6,1)=-1, and want to find \frac{\partial z}{\partial v}(1,2).

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

\dfrac{\partial x}{\partial v}=2v

\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)

(because the point (x,y)=(6,1) corresponds to (u,v)=(1,2))

\implies\dfrac{\partial z}{\partial v}(1,2)=3\cdot2\cdot2+(-1)\cdot(-1)=\boxed{13}

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3 years ago
What are some real world examples of an obtuse angle?
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A reclined chair or maybe a laptop
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3 years ago
Rewrite each equation in exponential form and evaluate.<br><br> Log5(625)^x=?
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To rewrite in exponential form, the equation would be 5^?=625^x. From here, the bases need to be set equal. Since the fourth root of 625 is 5, the new equation becomes 625^1/4=625^x (625^1/4 is the same as the fourth root of 624). Now that the bases are the same, you can just solve for the variables, which become 1/4=x. Hope this helps :)
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2 years ago
What has a greater area, a square or an equilateral triangle?
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If the square and equilateral triangle have the same side length, a square would have a larger area.
Use these are equations and you can see which one is greater.
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(√3) / 4 < 1, if you didn't know

I hope this helps. Have an awesome day! :)
6 0
3 years ago
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