An oil refinery produces oil at a variable rate given by the following equation, where t is measured in days and Q is measure in barrels 700 if 0 st<30 Q'(t) = 2700 - 40t if 30 st< 40 300 if t2 40 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 calculus, determine the number of barrels produced over the interval [60,90].

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
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An oil refinery produces oil at a variable rate given by the following equation, where t is measured in days and Q is measure in barrels.
700
if 0 st<30
Q'(t) = 2700 - 40t if 30 st< 40
300
if t2 40
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 calculus, determine the number of barrels produced over the interval [60,90].
Transcribed Image Text:An oil refinery produces oil at a variable rate given by the following equation, where t is measured in days and Q is measure in barrels. 700 if 0 st<30 Q'(t) = 2700 - 40t if 30 st< 40 300 if t2 40 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 calculus, determine the number of barrels produced over the interval [60,90].
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