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Vera_Pavlovna [14]

3 years ago

5

b) One of the cars is considered a 'collector's classic', so it's age doesn't affect it's price as much. Write down the coordina

tes of the cross that you think represents this car on the graph.

2 answers:

Artyom0805 [142]3 years ago

4 0

Answer:

Step-by-step explanation:

a.

moderate or week negative correlation

b.

(8, 8200) are the approximate coordinates of the collector's classic

Alex787 [66]3 years ago

4 0

Step-by-step explanation:

much. Write down the coordinates of the cross that you think represents this car on the graph

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Select the best real-world situation that can be represented by 15 + c = 18.50. Then solve the equation and describe what your a

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Use the Chain Rule (Calculus 2)

atroni [7]

1. By the chain rule,

$\dfrac{\mathrm dz}{\mathrm dt}=\dfrac{\partial z}{\partial x}\dfrac{\mathrm dx}{\mathrm dt}+\dfrac{\partial z}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}$

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

$z_t=z_xx_t+z_yy_t$

We have

$x=e^{-t}\implies x_t=-e^{-t}$

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

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

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Similarly,

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

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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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$z_s=z_xx_s+z_yy_s$

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$y=s^2t\implies\begin{cases}y_s=2st\\y_t=s^2\end{cases}$

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$z_s=\cos(s+t)\cos(s^2t)-2st\sin(s+t)\sin(s^2t)$

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Step-by-step explanation:

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