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Chapter 4: Q. 66 (page 373)
Suppose another oil tank with a hole in it takes three
days to leak gallons of oil. Assuming that the rate of
leakage at time t is given by for some constant k,
set up and solve an equation involving a definite integral
to find k.
The rate is
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Use integration formulas to solve each integral in Exercises 21鈥�62. You may have to use algebra, educated guess and-check, and/or recognize an integrand as the result of a product, quotient, or chain rule calculation. Check each of your answers by differentiating.
Use the Fundamental Theorem of Calculus to find the exact values of the given definite integrals. Use a graph to check your answer.
Use integration formulas to solve each integral in Exercises 21鈥�62. You may have to use algebra, educated guess- and- check, and/or recognize an integrand as the result of a product, quotient, or chain rule calculation. Check each of your answers by differentiating. (Hint for Exercise 54: ).
Consider the sequence A(1), A(2), A(3),.....,A(n) write our the sequence up to n. What do you notice?
Use the Fundamental Theorem of Calculus to find the exact values of the given definite integrals. Use a graph to check your answer.
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