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d. Find and evaluate exactly an integral expression that represents the area between y = g(x) and the x- axis on the interval between the intersection points of f and g. e. What is the exact area between f and g between their intersection points? Why?

d. Find and evaluate exactly an integral expression that represents the area between y = g(x) and the x- axis on the interval between the intersection points of f and g. e. What is the exact area between f and g between their intersection points? Why?

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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d. Find and evaluate exactly an integral expression that represents the area between y = g(x) and the X- axis on the interval between the intersection points of f and g. %3D e. What is the exact area between f andg between their intersection points? Why?
Transcribed Image Text:d. Find and evaluate exactly an integral expression that represents the area between y = g(x) and the X- axis on the interval between the intersection points of f and g. %3D e. What is the exact area between f andg between their intersection points? Why?
Consider the functions given by f(x) = 4 – (x + 1)´ and g(x) = x + 5. a. Use algebra to find the points where the graphs of f and g intersect. Separate points by a comma. b. Sketch an accurate graph of f and g on the axes provided. Verify if the intersection points are the same as in part a. 7- 4- 2 -5 -4 -3 -2 -1 4 5 6. 7 -2 -3- -4- -5- -6- +7+ Clear All Draw: c. Find and evaluate exactly an integral expression that represents the area between y=f(x) and the x-axis on the interval between the intersection points of f and g. d. Find and evaluate exactly an integral expression that represents the area between y g(x) and the x- axis on the interval between the intersection points of f and g.
Transcribed Image Text:Consider the functions given by f(x) = 4 – (x + 1)´ and g(x) = x + 5. a. Use algebra to find the points where the graphs of f and g intersect. Separate points by a comma. b. Sketch an accurate graph of f and g on the axes provided. Verify if the intersection points are the same as in part a. 7- 4- 2 -5 -4 -3 -2 -1 4 5 6. 7 -2 -3- -4- -5- -6- +7+ Clear All Draw: c. Find and evaluate exactly an integral expression that represents the area between y=f(x) and the x-axis on the interval between the intersection points of f and g. d. Find and evaluate exactly an integral expression that represents the area between y g(x) and the x- axis on the interval between the intersection points of f and g.
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