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. 500 if 0 st< 30 Q'(t) = < 2300 – 50t if 30 st< 40 200 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 [70,90]. a. The oil refinery produced | barrels in the first 35 days.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
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.
500
if 0 st< 30
Q'(t) = < 2300 - 50t if 30 st< 40
200
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 [70,90].
a. The oil refinery produced
barrels in the first 35 days.
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. 500 if 0 st< 30 Q'(t) = < 2300 - 50t if 30 st< 40 200 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 [70,90]. a. The oil refinery produced barrels in the first 35 days.
Expert Solution
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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.

                       500                if 0<= t < 30

         Q'(t) =  2300 - 50t      if 30 <= t < 40

                       200                if t >= 40

 

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