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2 years ago

13. Simplify –3√ 2 + 3√ 8 A. 0 B. 3√ 2 C. 9√ 2 D. –3√ 2

Mathematics

1 answer:

valina [46]2 years ago

7 0

Answer:

B. 3√2.

Step-by-step explanation:

-3√2 + 3√4x2
-3√2 + 6√2
3√2

These are all of the steps to completely, find the correct answer to your question.

Hope this helps!!!

Kyle.

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Use the Chain Rule (Calculus 2)

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1. By the chain rule,

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I'm going to switch up the notation to save space, so for example, $z_x$ is shorthand for $\frac{\partial z}{\partial x}$ .

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We have

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$y=e^t\implies y_t=e^t$

$z=\tan(xy)\implies\begin{cases}z_x=y\sec^2(xy)=e^t\sec^2(1)\\z_y=x\sec^2(xy)=e^{-t}\sec^2(1)\end{cases}$

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Similarly,

$w_t=w_xx_t+w_yy_t+w_zz_t$

where

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$y=\sinh^2t\implies y_t=2\cosh t\sinh t$

$z=t\implies z_t=1$

To capture all the partial derivatives of $w$ , compute its gradient:

$\nabla w=\langle w_x,w_y,w_z\rangle=\dfrac{\langle1,-1,1\rangle}{\sqrt{1-(x-y+z)^2}}}=\dfrac{\langle1,-1,1\rangle}{\sqrt{-2t-t^2}}$

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