All categories

3 years ago

An error is made in solving the equation below. What is the correct solution to the equation?

Mathematics

1 answer:

scoray [572]3 years ago

8 0

The answer to your question is 8, so letter C

You might be interested in

Find the outward flux of the vector field f=(x3,y3,z2) across the surface of the region that is enclosed by the circular cylinde

ahrayia [7]

Use the divergence theorem.

$\mathbf f(x,y,z)=(x^3,y^3,z^3)\implies \nabla\cdot\mathbf f=3(x^2+y^2+z^2)$

Calling the closed region $\mathcal R$ and its boundary the surface $\partial\mathcal R$ , we have by the divergence theorem,

$\displaystyle\underbrace{\iint_{\partial\mathcal R}\mathbf f\cdot\mathrm d\mathbf S}_{\text{flux}}=\iiint_{\mathcal R}\nabla\cdot\mathbf f\,\mathrm dV$

We set up the volume integral in cylindrical coordinates, using

$\begin{cases}x=u\cos v\\y=u\sin v\\z=w\end{cases}\implies\mathrm dV=u\,\mathrm du\,\mathrm dv\,\mathrm dw$

$\displaystyle\iiint_{\mathcal R}\nabla\cdot\mathbf f\,\mathrm dV=3\int_{w=0}^{w=6}\int_{v=0}^{v=2\pi}\int_{u=0}^{u=8}(u^2\cos^2v+u^2\sin^2v+w^2)u\,\mathrm du\,\mathrm dv\,\mathrm dw$
$=6\pi\displaystyle\int_{w=0}^{w=6}\int_{u=0}^{u=8}(u^3+uw^2)\,\mathrm du\,\mathrm dw=50,688\pi$

7 0

3 years ago

Find the area of the figure, (Sides meet at night angles.)

Pavel [41]

Answer:

15 in^2

Step-by-step explanation:

Find the area of the vertical rectangle

A = l*w

A = 6*2 = 12 in^2

Now find the area of the horizontal rectangle

A = l*w

= 3*1 = 3in^2

Add them together

12+3 =15 inch^2

5 0

3 years ago

Read 2 more answers

Graph the line. y2468-2-4-6-8x2468-2-4-6-8

likoan [24]

Answer:

Graph.

y2468−2−4−6−8x2468−2−4−6−8y2468-2-4-6-8x2468-2-4-6-8

Tap to view steps...

point 0,0

7 0

3 years ago

What is the value of x, when -9(x-5)=x+22 1/2

Kipish [7]

Answer:

x = 2.25

Step-by-step explanation:

-9(x - 5) = x + 22 1/2

Distribute the nine and then add 9x to both sides

-9x + 45 = x +22 1/2

+ 9x + 9x

Then try to get x alone

45 = 10x + 22 1/2

-22 1/2 -22 1/2

22.5 = 10x

$\frac{22.5}{10} = \frac{10x}{10}$

2.25 = x

4 0

3 years ago

Read 2 more answers

How to do dilation in the coordinations plane

Anastasy [175]

Answer:

if u want to make the shape larger, u will have to multiply it by the scale factor that is greater then 1.

if u want to make the shape smaller, then u will multiply by the scale factor that is between 0 and 1

if the scale factor is 1, then the shapes are congruent

Read more on Brainly.com - brainly.com/question/4197956#readmore

8 0

4 years ago