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. (a) Write the area function A(r) 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 of A'(1).

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
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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.
-4
-6
-3
2
-2
(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 of A'(1).
Transcribed Image Text: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. -4 -6 -3 2 -2 (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 of A'(1).
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