Consider the following function of f and real number a (see figure). f(t) =t+7, a = -7 y= f(1) a. Find and graph the area function A(x) = f(t)dt. A(x) = area a b. Verify that A'(X) = f(x). a. Find the area function. 49 +7x+ 2 A(x) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 53E
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Consider the following function of f and real number a (see figure).
f(t) =t+7, a = -7
y f(t)
a. Find and graph the area function A(x) = f(t)dt.
%3D
A(x) area
a
b. Verify that A'(X) = f(x).
0.
a. Find the area function.
x²
49
A(x) =
+ 7x+
Transcribed Image Text:Consider the following function of f and real number a (see figure). f(t) =t+7, a = -7 y f(t) a. Find and graph the area function A(x) = f(t)dt. %3D A(x) area a b. Verify that A'(X) = f(x). 0. a. Find the area function. x² 49 A(x) = + 7x+
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