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Airida [17]
2 years ago
12

Verify that the divergence theorem is true for the vector field f on the region

Mathematics
1 answer:
timofeeve [1]2 years ago
5 0
\mathbf f(x,y,z)=3x\,\mathbf i+xy\,\mathbf j+4xz\,\mathbf k
\implies\nabla\cdot\mathbf f(x,y,z)=3+x+4x=3+5x

\displaystyle\iint_{\partial E}\mathbf f(x,y,z)\,\mathrm dS=\iiint_E\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV
=\displaystyle\int_{z=0}^{z=3}\int_{y=0}^{y=3}\int_{x=0}^{x=3}(3+5x)\,\mathrm dx\,\mathrm dy\,\mathrm dz
=\displaystyle9\int_0^3(3+5x)\,\mathrm dx
=\dfrac{567}2
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Mr.wilson wrote the fuction f(x)=7x-15 on the chalkboard.What is the value of this function for f(6)?
bixtya [17]

By plunging 5 into the equation as x, you have the equation

7(5) - 15

7 * 5 = 35 so

35 - 15

f(5) = 20

4 0
3 years ago
Scarlett can make 7 cupcakes (the y value) with one cup of flour (the x value). How many cupcakes can she make with 9 cups of fl
HACTEHA [7]

Answer:

63=x*y

Step-by-step explanation:*

y = 7 x=1. so 9 will muiltiply 7 until there is 9 7s then you got the answer

8 0
3 years ago
The domain for f(x) and g(x) is the set of all real numbers.
Rufina [12.5K]

If you want to multiply the two functions, the answer is a.


In fact, you have


(3x + 5)x^2 = 3x \cdot x^2 + 5\cdot x^2 = 3x^3 +5x^2

4 0
3 years ago
The ratio of Dawn to Mandy's savings is 6 : 7. The ratio of Mandy to Belle's savings is 2 : 3. Find the ratio of Dawn to Belle's
Mila [183]

The savings are illustrations of ratio, and the ratio of Dawn to Belle's savings in the simplest ratio is 4 : 7

<h3>How to determine the ratio?</h3>

The given ratios are:

Dawn : Mandy = 6 : 7

Mandy : Belle = 2 : 3

Multiply the second ratio by 3.5.

So, we have:

Mandy : Belle = 2 * 3.5 : 3 * 3.5

Evaluate

Mandy : Belle = 7 : 10.5

So, we have:

Dawn : Mandy = 6 : 7

Mandy : Belle = 7 : 10.5

Mandy's ratios in both equation are the same.

So, we have:

Dawn : Mandy : Belle = 6 : 7 : 10.5

Remove Mandy's ratio

Dawn : Belle = 6 : 10.5

Simplify

Dawn : Belle = 4 : 7

Hence, the ratio of Dawn to Belle's savings is 4 : 7

Read more about ratios at:

brainly.com/question/2328454

#SPJ1

5 0
2 years ago
Question 2(Multiple Choice Worth 1 points)
kramer

Answer:

it is a linear expression

6 0
2 years ago
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