3. Here is part of the graph of different function f. We are interested in the area function A(x) that gives the (signed) area between -100 and x, horizontally, and the between the graph of f and the x-axis, vertically.

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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3. Here is part of the graph of different function f. We are interested in the area function
A(x) that gives the (signed) area between -100 and x, horizontally, and the between
the graph of f and the x-axis, vertically.
5
4
3
2
1.
-7
-6
-5
-4
-3
(a) Write the area function A(x) as a definite integral.
(b) We have calculated that A(1)
314.15. Write A(1) as a definite integral.
(c) How do the values for A(1) and A(1.2) compare?
(d) Approximate the value
A'(1).
Transcribed Image Text:3. Here is part of the graph of different function f. We are interested in the area function A(x) that gives the (signed) area between -100 and x, horizontally, and the between the graph of f and the x-axis, vertically. 5 4 3 2 1. -7 -6 -5 -4 -3 (a) Write the area function A(x) as a definite integral. (b) We have calculated that A(1) 314.15. Write A(1) as a definite integral. (c) How do the values for A(1) and A(1.2) compare? (d) Approximate the value A'(1).
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