Given the graph of f(t), let A₁ A -2 A. Evaluate 4 [ƒ f(t) f(t)dt = [ f(t)dt. 2 A2 Total area = = Increasing: Decreasing: 2 [ = = 2.75, A₂ A3 4 t = B. What is the total area from t = - 2 to t = 4? 4.25, and A3 = 3. Let F' (t) = f(t). C. Given F' (t) = f(t), what intervals is Fincreasing or decreasing?

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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Given the graph of f(t), let A₁ = 2.75, A₂ = 4.25, and A3
A₁
-2 -1
f(t)
A. Evaluate
4
•Sf(t
4
[ f(t) at
2
Total area =
A2
C. Given F' (t)
Increasing:
Decreasing:
=
f(t)dt .
2
B. What is the total area from t
=
-
A3
4
t
- 2 to t = 4?
=
3. Let F' (t) = f(t).
f(t), what intervals is F increasing or decreasing?
Transcribed Image Text:Given the graph of f(t), let A₁ = 2.75, A₂ = 4.25, and A3 A₁ -2 -1 f(t) A. Evaluate 4 •Sf(t 4 [ f(t) at 2 Total area = A2 C. Given F' (t) Increasing: Decreasing: = f(t)dt . 2 B. What is the total area from t = - A3 4 t - 2 to t = 4? = 3. Let F' (t) = f(t). f(t), what intervals is F increasing or decreasing?
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