Given the graph of ƒ(t), let A₁ = 0.75, A2 = 5, and A3 = 2. Let F'(t) = f(t). A₁ -1 A. Evaluate [₁0 f(t) +4 •[ f(t)dt . -2 A2 f(t)dt = Total area = A3 B. What is the total area from t =-2 to t = 4? Increasing: Decreasing: t C. Given F'(t) = f(t), what intervals is F increasing or decreasing?
Given the graph of ƒ(t), let A₁ = 0.75, A2 = 5, and A3 = 2. Let F'(t) = f(t). A₁ -1 A. Evaluate [₁0 f(t) +4 •[ f(t)dt . -2 A2 f(t)dt = Total area = A3 B. What is the total area from t =-2 to t = 4? Increasing: Decreasing: t C. Given F'(t) = f(t), what intervals is F increasing or decreasing?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 30E
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Transcribed Image Text:Given the graph of f(t), let A₁ = 0.75, A₂ = 5, and A3
=
A₁
-2 -1
f(t)
A. Evaluate
[₁ f(t)dt .
4
[ f(t) at
-2
A2
2
Total area =
A3
4
B. What is the total area from t =
t
-2 to t = 4?
2. Let F'(t) = f(t).
C. Given F'(t) = f(t), what intervals is F increasing or decreasing?
Increasing:
Decreasing:
D. Find the value of F'(4) if F(−2) = 3.4 .
F(4) =
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