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A Detroit-based oil company estimates that for the next several months, oil will be pumped (in thousands of 2t gallons per month) from a producing field at a rate of R(t)= +5, where t is in months. Determine 3 (r² +1)* the amount of oil that is pumped in the first three months. Hint: First find the function A(t)= [R(t)dt = [- 2t -dt +|5dt that gives the amount of oil pumped (in (e² +1) thousands of gallons) after t months. Assume A(0)=0.

A Detroit-based oil company estimates that for the next several months, oil will be pumped (in thousands of 2t gallons per month) from a producing field at a rate of R(t)= +5, where t is in months. Determine 3 (r² +1)* the amount of oil that is pumped in the first three months. Hint: First find the function A(t)= [R(t)dt = [- 2t -dt +|5dt that gives the amount of oil pumped (in (e² +1) thousands of gallons) after t months. Assume A(0)=0.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A Detroit-based oil company estimates that for the next several months, oil will be pumped (in thousands of 2t gallons per month) from a producing field at a rate of R(t)= +5,where t is in months. Determine 3 (² +1) the amount of oil that is pumped in the first three months. Hint: First find the function A(t)= |R(t)dt = | 2t dt + | 5dt that gives the amount of oil pumped (in 3 (t²+1) thousands of gallons) after t months. Assume A(0)=0.
Transcribed Image Text:A Detroit-based oil company estimates that for the next several months, oil will be pumped (in thousands of 2t gallons per month) from a producing field at a rate of R(t)= +5,where t is in months. Determine 3 (² +1) the amount of oil that is pumped in the first three months. Hint: First find the function A(t)= |R(t)dt = | 2t dt + | 5dt that gives the amount of oil pumped (in 3 (t²+1) thousands of gallons) after t months. Assume A(0)=0.
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