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3 years ago

8

A deep-sea diver must descend and ascend in short steps to equalize pressure on his body. Suppose the diver started at 7 feet be

low the surface and dives in five steps of 15 feet each. Use an integer to describe his new position in relation to the water surface.

1 answer:

andrew-mc [135]3 years ago

5 0

Answer:

82-5(15)=18-75=7

Step-by-step explanation:

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3 years ago

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

lana66690 [7]

Answer:

$40.5 \pi$ cubic units

Step-by-step explanation:

Given is a function exponential as

$f(x) =\sqrt{ (x-4)}$

The region bounded by the above curve, y =0 , x =13 is rotated about x axis.

the intersection point is at x=4

The limits for x are 4 and 13

The volume when rotated through x axis is found by

$\pi\int\limits^b_a {f(x)^2} \, dx$

Here a = 4 and b =13

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= $\pi (\frac{x^2 }{2}-4x )\\= \frac{\pi}{2} (153-72)\\= 40.5 \pi$ .cubic units

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3 years ago