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The answer is on symbolab.com
Answer:
The volume is:
Step-by-step explanation:
See the sketch of the region in the attached graph.
We set the integral using washer method:
Notice here the radius of the washer is the difference of the given curves:
So the integral becomes:
We solve it:
Factor
out and distribute the exponent (you can use FOIL):
Notice:
So the integral becomes:
Then using the basic rule to evaluate the integral:
Simplifying a bit:
Then plugging the limits of the integral:
Taking the root (rational exponents):
Then doing those arithmetic computations we get:
Answer:
n = 24
p(a) = 10/24
p(b) = 15/24
[ p(a) + p(b) - [p(a) ×p(b)] ] -1 = answer
[ 35/24 - 6/24 ] -1 = 39/24 - 24/24 = 5/24