Explanation The given derivative is d R d t = 100 t 2 and R ( 1 ) = 400 . Use integration to find R ( t ) as follows. ∫ d R d t = ∫ 100 t 2 d t R ( t ) = 100 ∫ t − 2 d t = 100 ( t − 2 + 1 − 2 + 1 ) + C = − 100 t − 1 + C Thus, the function is R ( t ) = − 100 t + C . The given condition is R ( 1 ) = 400

Calculus for Business Economics Life Sciences and Social Sciences Plus NEW

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ISBN: 9780321925138

Author: Raymond Barnett

Publisher: PEARSON

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Chapter 5.1, Problem 58E

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To find: The particular anti-derivative of dRdt=100t2 that satisfies the condition R(1)=400.

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Chapter 5.1, Problem 57E

Chapter 5.1, Problem 59E

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Calculus for Business Economics Life Sciences and Social Sciences Plus NEW

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The particular anti-derivative of d R d t = 100 t 2 that satisfies the condition R ( 1 ) = 400 .

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To find: The particular anti-derivative of dRdt=100t2 that satisfies the condition R(1)=400.

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Chapter 5 Solutions