Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 55E
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1,0
-5
Graph of y= f(t)
Transcribed Image Text:1,0 -5 Graph of y= f(t)
The blue line in the graph above defines a linear function y = f(t).
(A) Suppose that x > 3 is a point that may vary on the t-axis. Find the accumulated area
function
A(2) =
f(t) dt
that calculates the net area of the shaded region on the interval [0, x]. Hint: What is the area
of a triangle?
A A(x)
(B) Find the antiderivative for the function f(t) that has constant term zero.
Antiderivative F(t) =
(C)E
The functions A and F are both antiderivatives of f.
Transcribed Image Text:The blue line in the graph above defines a linear function y = f(t). (A) Suppose that x > 3 is a point that may vary on the t-axis. Find the accumulated area function A(2) = f(t) dt that calculates the net area of the shaded region on the interval [0, x]. Hint: What is the area of a triangle? A A(x) (B) Find the antiderivative for the function f(t) that has constant term zero. Antiderivative F(t) = (C)E The functions A and F are both antiderivatives of f.
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