Let f(x) = x p and g(x) = x 1/q , where p > 1 and q
Question:
Let f(x) = xp and g(x) = x1/q, where p > 1 and q > 1 are positive integers. Let R1 be the region in the first quadrant between y = f(x) and y = x and let R2 be the region in the first quadrant between y = g(x) and y = x.
a. Find the area of R1 and R2 when p = q, and determine which region has the greater area.
b. Find the area of R1 and R2 when p > q, and determine which region has the greater area.
c. Find the area of R1 and R2 when p < q, and determine which region has the greater area.
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Step by Step Answer:
a The area of R is fx x dx x 2 22 TP1 P1 p ...View the full answer
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Related Book For 
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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