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3 years ago

8 divided by 2 times 10 plus 14

Mathematics

1 answer:

BARSIC [14]3 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

If Keng worked for 30 minutes on monday, 15 minutes on Tuesday and 45 minutes on

diamong [38]

Answer:

90 mins, or 1 hr and 30 mins. 3/2 hours, which would simplify to 1 1/2?

Step-by-step explanation:

4 0

3 years ago

Diane has a rope that is 8 meters long. She cuts away a piece that is 1.67 meters long. How long is the remaining piece of rope?

Readme [11.4K]

Answer:

6.33 m

Step-by-step explanation:

Total length of the rope = 8 m

Cut length of the rope = 1.67 m

We need to find the remaining piece of the rope.

Remaining piece = Total length - cur length

= 8 m - 1.67 m

= 6.33 m

So, 6.33 m is the remaining piece of the rope.

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3 years ago

Perform the indicated operations; reduce the answer to lowest terms.

Misha Larkins [42]

$\frac{1}{15}$

$\frac{6}{35}$

$\frac{1}{15}$

$\frac{9}{32}$

$\frac{4}{15}$

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3 years ago

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Help with math hw (geomtry)

valkas [14]

Answer:

Angle 1= RQS and STU

Angle 2= RSQ and TSU

Similar due to Angle Angle

15:24

15x=7

24x= 7/15*14= 11.2

10.

10:2

15=10x

2x=3

11.

20:8

8x=10

x=5/4

15-4-5=5/4.

7 0

3 years ago