Find the volume of the solid obtained by rotating region bounded by the given curves about the line. y = x, y = 0, x = 2, x = 5; about x = 1?

The volume is given by the integral

using the shell method. We approximate the solid of revolution with hollow cylinders with radius and height .

1,150 give brainliest

step-by-step explanation

2r= 2300

r =1150

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560