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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Question
Only AB#2
![5 for 5: Calculus AB Day 4
ff'(x)
1
t
-2 -1 0
1 2 3 4
6 7 8
-1
The function f is differentiable on the interval [−2, 12] and consists of three line segments as shown in
the figure above. It is known that f(4) = 14
AB2: Let g(x) = f(x)f'(x). Find g'(4).
AB3: Evaluate
AB1: On what open intervals is the graph of f both decreasing and concave down? Give a reason for
your answer.
AB4: Find
12
[₁³² [3 - 2f'(x)] dx.
-2
-3
d²W
dt²
t
W (t)
in terms of W.
10 11
0
4.
12 13
0.2 0.4 0.5 0.6
dW
Consider the differential equation = 9 - W². Let y = W(t) be the particular solution to the
dt
differential equation with the initial condition W(0) = 4. The function W is twice differentiable with
selected values of W given in the table above.
0.8 1.0
5.7 9.3 12.2 16.3 29.3 53.2
AB5: Use a midpoint Riemann sum with the three subintervals indicated by the table above to approximate
S W(t)dt.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66d30f65-22c6-47d5-b371-c8d8c2d2b3f2%2F8f61492f-5c08-4195-8f27-1838200a0d22%2Fwtlpoqd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5 for 5: Calculus AB Day 4
ff'(x)
1
t
-2 -1 0
1 2 3 4
6 7 8
-1
The function f is differentiable on the interval [−2, 12] and consists of three line segments as shown in
the figure above. It is known that f(4) = 14
AB2: Let g(x) = f(x)f'(x). Find g'(4).
AB3: Evaluate
AB1: On what open intervals is the graph of f both decreasing and concave down? Give a reason for
your answer.
AB4: Find
12
[₁³² [3 - 2f'(x)] dx.
-2
-3
d²W
dt²
t
W (t)
in terms of W.
10 11
0
4.
12 13
0.2 0.4 0.5 0.6
dW
Consider the differential equation = 9 - W². Let y = W(t) be the particular solution to the
dt
differential equation with the initial condition W(0) = 4. The function W is twice differentiable with
selected values of W given in the table above.
0.8 1.0
5.7 9.3 12.2 16.3 29.3 53.2
AB5: Use a midpoint Riemann sum with the three subintervals indicated by the table above to approximate
S W(t)dt.
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