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3 years ago

Please help me and can you explain thank you

Mathematics

1 answer:

Rufina [12.5K]3 years ago

4 0

Answer:

(4,2), there is already a 4 in x value

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

to recover a large chair in your home, you purchase 9 1/2 yards of upholstery fabric at $11.00 per yard. If there is 7% sales ta

KATRIN_1 [288]

11.00*9.5=104.5
104.5*0.07=7.315
7.315+104.5=111.815

6 0

3 years ago

Surface area using nets

german

Answer:

Please explain more.

Step-by-step explanation:

3 0

3 years ago

leigh has a piece of rope that is 6 2/3 feet long. how do you write 6 2/3 as a fraction greater than 1?

AnnZ [28]

Answer:

$\frac{20}{3}\ ft$

Step-by-step explanation:

we have

$6\frac{2}{3}\ ft$

Convert mixed number to an improper fraction

Remember that

$6\frac{2}{3}=6+\frac{2}{3}=\frac{6*3+2}{3}=\frac{20}{3}\ ft$

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3 years ago

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Is it possible to form a triangle with the given side lengths? If not explain why not.

Brut [27]

Answer:

d. no; 0.7+1.4=2.1 is the answer...

because for forming a triangle the sum of two sides should be greater than the third side always.

while in this case it is equal so it is not possible to form a triangle...

4 0

3 years ago