Rate oil is pumped out (millions of barrels/month) -Select- Select- 40 35 30 Use the graph of r(t) to answer the questions below. -Select-80 (c) Determine 80 25 frond (1) b) Match the quantities below with its appropriate description (1)-(5). • 50 ["1 20 a) Use a right-hand sum with n-4 rectangles to estimate 15 10 f* r(t)dt 12 100 r(t)dt r(t)dt r(t)at- Time (months) units of your estimate (1) The number of barrels of oil pumped in millions for the year 2016 (2) The number of barrels of oil pumped in millions from May 1st to Sep 1st (3) The average rate in millions of barrels per month oll is pumped from May 1st to Sep 1st (4) The average rate in millions of barrels per month oil is pumped for the year 2016 (5) The amount of money made selling the oil from May 1st to Sep 1st at 500 a barrel

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...
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In the year 2016, oil is selling at an average price of $80 a barrel. For a particular oil field, the function r(t) gives the rate oil is being pumped out of the ground (in millions of barrels per month), t months since the start of the year 2016.
Rate oil is pumped out (millions of barrels/month)
-Select-
40
-Select-
35
30
-Select- 80
25
(c) Determine 80
20
15
Use the graph of r(t) to answer the questions below.
10
(a) Use a right-hand sum with n= 4 rectangles to estimate •
(b) Match the quantities below with its appropriate description (1)-(5).
1
r(t)dt
12
1.80 [.
2 3 4
r(t)dt
r(t)dt
r(t)dt-
r(t)dt =
0
10 11
12
Time (months)
--units of your estimate-
80 ["1
(d) Suppose the average value of r(t) on the interval [0,12] is 18.4 millions of barrels per month. Determine how much oil was pumped during the year 2016.
(1) The number of barrels of oil pumped in millions for the year 2016
(2) The number of barrels of oil pumped in millions from May 1st to Sep 1st
(3) The average rate in millions of barrels per month oil is pumped from May 1st to Sep 1st
(4) The average rate in millions of barrels per month oil is pumped for the year 2016
(5) The amount of money made selling the oil from May 1st to Sep 1st at $80 a barrel
millions of barrels
Transcribed Image Text:In the year 2016, oil is selling at an average price of $80 a barrel. For a particular oil field, the function r(t) gives the rate oil is being pumped out of the ground (in millions of barrels per month), t months since the start of the year 2016. Rate oil is pumped out (millions of barrels/month) -Select- 40 -Select- 35 30 -Select- 80 25 (c) Determine 80 20 15 Use the graph of r(t) to answer the questions below. 10 (a) Use a right-hand sum with n= 4 rectangles to estimate • (b) Match the quantities below with its appropriate description (1)-(5). 1 r(t)dt 12 1.80 [. 2 3 4 r(t)dt r(t)dt r(t)dt- r(t)dt = 0 10 11 12 Time (months) --units of your estimate- 80 ["1 (d) Suppose the average value of r(t) on the interval [0,12] is 18.4 millions of barrels per month. Determine how much oil was pumped during the year 2016. (1) The number of barrels of oil pumped in millions for the year 2016 (2) The number of barrels of oil pumped in millions from May 1st to Sep 1st (3) The average rate in millions of barrels per month oil is pumped from May 1st to Sep 1st (4) The average rate in millions of barrels per month oil is pumped for the year 2016 (5) The amount of money made selling the oil from May 1st to Sep 1st at $80 a barrel millions of barrels
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