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Reika [66]
2 years ago
13

PLEASE HELP!!!! LAST QUESTION ON FINALS I CAN'T FIGURE OUT!!!!! WILL MARK BRAINLIEST!!!

Mathematics
1 answer:
Aleksandr-060686 [28]2 years ago
3 0

Answer:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Amplitude:

3

Period:

π

Phase Shift:

0

(0 to the right)

Vertical Shift:

−1

Step-by-step explanation:

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Find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.
kherson [118]

Answer:

=\frac{364\pi}{3} cubic units

Step-by-step explanation:

We are to find the  volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.

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The picture is given as shaded region.

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Limits for x are already given as 0 and 4

f(x) is a straight line

The solid formed would be a cone

Volume = \pi \int\limits^a_b {(2x+1)^2} \, dx \\= \pi \int\limits^4_0 {(4x^2+4x+1)} \, dx \\=\pi [\frac{4x^3}{3} +2x^2+x]^5_0\\\\=\pi[\frac{4*4^3}{3}+2*4^2+4-0]\\=\frac{364\pi}{3}

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