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Norma-Jean [14]
3 years ago
12

Find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.

Mathematics
1 answer:
hichkok12 [17]3 years ago
5 0

Answer:

2\pi(e^2-e^{-4})

Step-by-step explanation:

We are given: f(x)=2e^x

So, the integral will be used to calculate the volume.

V = \pi\int\limits^1_{-2}(2e^x)^2dx=\pi\int\limits^1_{-2}4e^{2x}dx=2\pi e^{2x}|^1_{-2} =2\pi(e^2-e^{-4})

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10
MissTica

The graph of the inequality will be B. on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

<h3>How to get the graph?</h3>

It can be deduced that the coordinates satisfy the equation of the line.

3y = 2x - 12

Divide through by 3.

y = 2/3x - 4.

The slope is 2/3.

In conclusion, the correct option is B.

Learn more about inequalities on:

brainly.com/question/14074138

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5 0
2 years ago
Write the expression in complete factored form. 4c(y+3) - (y+3)=
Anuta_ua [19.1K]

Answer:

(4c-1)(y+3)

Step-by-step explanation:

4c(y+3) -(y+3)

=(4c-1)(y+3)

8 0
3 years ago
How do you solve a+4 when a=7
nordsb [41]

Answer:

If a is equal to 7 it would be 11. 7+4

Step-by-step explanation:

8 0
3 years ago
12) What is 6.79 x 10 to the 5th power written in standard form
Elena L [17]

Answer:A

67,900,000

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which of the following statements is NOT true about the graph of a system of
Trava [24]

Answer:

The lines will have one positive y-intercept and one negative y-intercept is NOT true.

Step-by-step explanation:

If a graphed system has infinitely many solutions, that means that the two equations are the exact same. This means that they'll have the same slope, y-intercept, and will share all of the same points. Answer b is the only choice left.

5 0
3 years ago
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