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Leya [2.2K]
2 years ago
7

15 points to the answer

Mathematics
1 answer:
lesya692 [45]2 years ago
8 0
Cool I guess I’m getting none
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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Only 1 try
vagabundo [1.1K]

Using the shell method, the volume is

\displaystyle 2\pi \int_0^1 (2-x) \cdot 8x^3 \, dx = 16\pi \int_0^1 (2x^3 - x^4) \, dx

Each cylindrical shell has radius 2-x (the horizontal distance from the axis of revolution to the curve y=8x^3); has height 8x^3 (the vertical distance between a point on the x-axis in 0\le x\le1 and the curve y=8x^3).

Compute the integral.

\displaystyle 16 \pi \int_0^1 (2x^3 - x^4) \, dx = 16\pi \left(\frac{x^4}2 - \frac{x^5}5\right) \bigg|_{x=0}^{x=1} \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = 16\pi \left(\frac12 - \frac15\right) \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = \frac{24}5\pi = \boxed{4.8\pi}

6 0
2 years ago
{ = {even numbers
Oksi-84 [34.3K]

Step-by-step explanation:

the members of B are 4,8,12

the members of C are 0 2 3

3 0
2 years ago
A playground slide is 14.5 feet long with an 8.5-foot tall ladder. What is the measure of the angle that the slide makes with th
Svetach [21]
The correct answer is 36 degrees



good luck
5 0
4 years ago
Read 2 more answers
Which algebraic expression is equivalent to the expression below?
JulijaS [17]

Step-by-step explanation:

7(4x + 9) - 4

= (7 × 4x) + (7 × 9) - 4

= 28x + 63 - 4

= <u>28x + 59</u>

So, 7(4x + 9) - 4 is equivalent to 28x + 59 (D)

<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>

6 0
3 years ago
Read 2 more answers
I need this done urgently!
wolverine [178]

Answer:

1)65.9

2)326.6

3)13.6

4)8.0

Step-by-step explanation:

The trick is always to look at the number after the first decimal for rounding to 1 decimal place, if its above 5, you round it up to the next decimal; eg. 13.45 = 13.5 because the 5 will round it up,and if value below 5, you round it down; eg. 12.34 = 12.3 because the 4 is below 5 and the nearest 10th decimal is 3.

6 0
2 years ago
Read 2 more answers
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