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2 years ago

In this square, all the angles are equal. What is the measure of angle x°?

Mathematics

1 answer:

Kisachek [45]2 years ago

8 0

Answer:

Step-by-step explanation:

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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,

$z_u=z_xx_u+z_yy_u$

$z_v=z_xx_v+z_yy_v$

$z_w=z_xx_w+z_yy_w$

We have

$z=x^4+xy^3\implies\begin{cases}z_x=4x^3+y^3\\z_y=3xy^2\end{cases}$

and

$\begin{cases}x=uv^4+w^3\\y=u+ve^w\end{cases}\implies\begin{cases}x_u=v^4\\x_v=4uv^3\\x_w=3w^2\\y_u=1\\y_v=e^w\\y_w=ve^w\end{cases}$

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

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

3 0

3 years ago

Please help asap 25 pts

kolezko [41]

Hey look The answer is D

4 0

3 years ago

Bella rollerblades 8 miles in one hour the function rule that represents this situation is 8x where x is the number of hours nak

mihalych1998 [28]

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5 0

3 years ago

A waterslide is rented at $500 per day plus a charge per hour of use. The bounce house was used for 5 hours one day, and the tot

Mazyrski [523]

Answer: $500+5x=800$

Step-by-step explanation:

Given: The rent of waterslide per day = $500

Let x be the a charge per hour of use.

The number of hours bounce house was used = 5 hours

Since, the total charge was $800.

Therefore, the equation can be used to find the charge x, in dollars, per hour of use is given by :-

Fixed charge+5 times x=Total charge

$\Rightarrow500+5x=800$

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3 years ago

Read 2 more answers

can someone explain how I can graph and plot ordered pairs with numbers like (1,75) (2,100) (3,125) (4,125) (5,150)

yaroslaw [1]

You’re going to have to make y increase in increments of 25 or 50 and your x can stay as 1234.

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3 years ago