Question 1 Suppose that f is the function given in the graph below and that f is a piecewise function whose parts are either portions of lines or portions of circles, as pictured. 4- -6 -5 -4 -3 -2 -3 4- -5 -6+ Let A be the function defined by A(z) = / f(t)dt. a. What does the Second FTC tell us about the relationship between A and f? Write an equation to describe the relationship. b. Compute the followings: A(-6) = A(2) = A(4) = A(6) =

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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Activity 5.2.2

Question 1
Suppose that f is the function given in the graph below and that f is a piecewise function whose parts are
either portions of lines or portions of circles, as pictured.
-6 -5
-3 -2 -1
5
-2
-3
-4
-5
-6
Let A be the function defined by A(z) = |. f(t)dt.
a. What does the Second FTC tell us about the relationship between A and f? Write an equation to describe
the relationship.
b. Compute the followings:
A(-6) =
A(2) =
A(4) =
A(6) =
Lon
Transcribed Image Text:Question 1 Suppose that f is the function given in the graph below and that f is a piecewise function whose parts are either portions of lines or portions of circles, as pictured. -6 -5 -3 -2 -1 5 -2 -3 -4 -5 -6 Let A be the function defined by A(z) = |. f(t)dt. a. What does the Second FTC tell us about the relationship between A and f? Write an equation to describe the relationship. b. Compute the followings: A(-6) = A(2) = A(4) = A(6) = Lon
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