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Alex777 [14]
3 years ago
6

Create the smallest cone possible with the tool and record the values of the radius height and volume in terms of pi then scale

the original cone by the given factors and record the resuling volumes
Mathematics
1 answer:
ololo11 [35]3 years ago
3 0

Answer:

<h3>nmkhjuvufurj</h3><h3 /><h3 /><h3 /><h3 /><h3 /><h3>shooty</h3>

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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
Draw a line representing the rise and a line representing the run of the line State the slope of the line in simplest form
amid [387]
Slope is -5/3
I hope this helps :)

8 0
3 years ago
Which equation can be used to find the area of the blue triangle?
tamaranim1 [39]
Use the equation A=(1/2)bh

Replace b with 7
Replace h with 12

A=(1/2)(7)(12)
A=(1/2)(84)
A=42
5 0
3 years ago
Arc AB is 1/6 of the circumference of a circle. What is The radian measure of the central angle?
Novosadov [1.4K]

Answer:

It’s b pie over 3

Step-by-step explanation:

I just know this I did the work

3 0
3 years ago
Read 2 more answers
Please help me!!!!!!!!
ivanzaharov [21]

Answer:

sorry. i have no idea

Step-by-step explanation:

i dont know i tried. sorry.

4 0
3 years ago
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