Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
Related questions
Question
AB4 only (solution is given, but show work)
![A=7
A = 5
ALA
1
-7
A = 4
(-3,4),
=ff(t)at.
The function g is defined by g(x) =
A = 7
5
9
AB1: Find the average rate of change of f on the interval [-2,3].
g has a relative minimum at x = -5
g has a relative maximum at x=6
X
-2
0
0.6
9+
1
3
f(x)
1
e
4
The function f is twice differentiable for all real values of x. A portion of the graph of the function f is
shown in the figure above along with selected values for f and f', the derivative of f. The areas of the
regions bounded by the graph of f and the x axis are given in the figure above.
2
f'(x)
-4
e
-2
AB2: Use the equation of the line tangent to the graph of f at x = -2 to approximate f(-1.9)..
3
f(-1.9) =
AB3: It is known that the graph of g has exactly 2 relative extrema. Identify the x values where these
extrema occur and classify each extremum as a relative maximum or relative minimum. Give a
reason for your answer.
AB4: Use a trapezoidal sum with three subintervals indicated in the table above to approximate
Lf(x) dx
-2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66d30f65-22c6-47d5-b371-c8d8c2d2b3f2%2Faeeb63c8-cbce-4c9b-8a0d-e8de022665fc%2F0og3mb9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A=7
A = 5
ALA
1
-7
A = 4
(-3,4),
=ff(t)at.
The function g is defined by g(x) =
A = 7
5
9
AB1: Find the average rate of change of f on the interval [-2,3].
g has a relative minimum at x = -5
g has a relative maximum at x=6
X
-2
0
0.6
9+
1
3
f(x)
1
e
4
The function f is twice differentiable for all real values of x. A portion of the graph of the function f is
shown in the figure above along with selected values for f and f', the derivative of f. The areas of the
regions bounded by the graph of f and the x axis are given in the figure above.
2
f'(x)
-4
e
-2
AB2: Use the equation of the line tangent to the graph of f at x = -2 to approximate f(-1.9)..
3
f(-1.9) =
AB3: It is known that the graph of g has exactly 2 relative extrema. Identify the x values where these
extrema occur and classify each extremum as a relative maximum or relative minimum. Give a
reason for your answer.
AB4: Use a trapezoidal sum with three subintervals indicated in the table above to approximate
Lf(x) dx
-2
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