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3 years ago

14

Two joggers run 8 miles north and 5 miles west . what is the shortest distance, to the nearest tenth of a mile, they must travel

to return to their starting point ?

1 answer:

kobusy [5.1K]3 years ago

6 0

Answer:9.4 miles

Hope this helps

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Write (y^2)^3 without exponents, and fill in the blank

irinina [24]

Answer:

y*y*y*y*y*y

Step-by-step explanation:

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Vanyuwa [196]

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Go 2.5 units to the right from the origin (0,0) for your x coordinate

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3 years ago

Use the Chain Rule to find the indicated partial derivatives. z = x^4 + xy^3, x = uv^4 + w^3, y = u + ve^w Find : ∂z/∂u , ∂z/∂v

k0ka [10]

I'll use subscript notation for brevity, i.e. $\frac{\partial f}{\partial x}=f_x$ .

By the chain rule,

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$z_w=z_xx_w+z_yy_w$

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When $u=1,v=1,w=0$ , we have

$\begin{cases}x(1,1,0)=1\\y(1,1,0)=2\end{cases}\implies\begin{cases}z_x(1,2)=12\\z_y(1,2)=12\end{cases}$

and the partial derivatives take on values of

$\begin{cases}x_u(1,1,0)=1\\x_v(1,1,0)=4\\x_w(1,1,0)=0\\y_u(1,1,0)=1\\y_v(1,1,0)=1\\y_w(1,1,0)=1\end{cases}$

So we end up with

$\boxed{\begin{cases}z_u(1,1,0)=24\\z_v(1,1,0)=60\\z_w(1,1,0)=12\end{cases}}$

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3 years ago

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bija089 [108]

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The answer is 11 2/3.

hope i helped!! :))

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