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Consider the curve y = 22/12 x³ on the interval from x = 1 to x = t (A) Find the function for the area under this curve on this interval as a function of t. (B) Evaluate the area for t = 10, 100, and 1000. (C) What is the total area under this curve for x ≥ 1?

Consider the curve y = 22/12 x³ on the interval from x = 1 to x = t (A) Find the function for the area under this curve on this interval as a function of t. (B) Evaluate the area for t = 10, 100, and 1000. (C) What is the total area under this curve for x ≥ 1?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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Consider the curve y = 1 224434 x³ on the interval from x = 1 to x = t (A) Find the function for the area under this curve on this interval as a function of t. (B) Evaluate the area for t = 10, 100, and 1000. (C) What is the total area under this curve for x ≥ 1?
Transcribed Image Text:Consider the curve y = 1 224434 x³ on the interval from x = 1 to x = t (A) Find the function for the area under this curve on this interval as a function of t. (B) Evaluate the area for t = 10, 100, and 1000. (C) What is the total area under this curve for x ≥ 1?
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