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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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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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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