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8. Suppose P(x) is the profit of a small company in thousands of dollars and the graph sketched below represents the marginal profit or the rate of change in the profit of a small company in thousands of dollars per year. Where x is the number of years after January 1, 2000 a) When was the profit Decreasing? b) Which is larger? The profit by January of 2001 Or the profit by January of 2003? Explain your answer. -10 c) Evaluate and interpret the integral P'(x) in thousands of dollars per year Area=72 -16 1 2 3 4 5 6 Area = 68 P'(x) dx Area = 116 8 9 10 11 12 13 14 15 16 17 Area = 97 X is the number of years after January 1, 2000

8. Suppose P(x) is the profit of a small company in thousands of dollars and the graph sketched below represents the marginal profit or the rate of change in the profit of a small company in thousands of dollars per year. Where x is the number of years after January 1, 2000 a) When was the profit Decreasing? b) Which is larger? The profit by January of 2001 Or the profit by January of 2003? Explain your answer. -10 c) Evaluate and interpret the integral P'(x) in thousands of dollars per year Area=72 -16 1 2 3 4 5 6 Area = 68 P'(x) dx Area = 116 8 9 10 11 12 13 14 15 16 17 Area = 97 X is the number of years after January 1, 2000

Calculus: Early Transcendentals
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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8. Suppose P(x) is the profit of a small company in thousands of dollars and the graph sketched below represents the marginal profit or the rate of change in the profit of a small company in thousands of dollars per year. Where x is the number of years after January 1, 2000. a) When was the profit Decreasing? b) Which is larger? The profit by January of 2001 Or the profit by January of 2003? Explain your answer. -10 P'(x) in thousands of dollars per year Area=72 1 2 3 4 5 6 Area = 68 c) Evaluate and interpret the integral 16 P'(x) dx Area = 116 17 8 9 10 11 12 13 14 15 16 17 Area = 97 X is the number of years after January 1, 2000
Transcribed Image Text:8. Suppose P(x) is the profit of a small company in thousands of dollars and the graph sketched below represents the marginal profit or the rate of change in the profit of a small company in thousands of dollars per year. Where x is the number of years after January 1, 2000. a) When was the profit Decreasing? b) Which is larger? The profit by January of 2001 Or the profit by January of 2003? Explain your answer. -10 P'(x) in thousands of dollars per year Area=72 1 2 3 4 5 6 Area = 68 c) Evaluate and interpret the integral 16 P'(x) dx Area = 116 17 8 9 10 11 12 13 14 15 16 17 Area = 97 X is the number of years after January 1, 2000
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