An oil refinery produces oil at a variable rate given by where t is measured in days

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An oil refinery produces oil at a variable rate given by

800 if 0 < t < 30 Q'(t) = { 2600 – 60t if 30 < t < 40 if t > 40, 200


where t is measured in days and Q is measured in barrels.

a. How many barrels are produced in the first 35 days?

b. How many barrels are produced in the first 50 days?

c. Without using integration, determine the number of barrels produced over the interval [60, 80].

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Related Book For  book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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