Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 76E
Related questions
Question
#52. Determine whether mean value theorem can be applied to f on closed interval. If mean value theorem can be applied, find all values of c in the open interval... (full question in picture)
![6th ed.
236 /1321
125%
O Find the equaion of the tangent line torough c
(d) Use a graphing utility g ph f, the secant line, and the
tangent line.
Using the Mean Value Theorem In Exercises 39-52,
determine whether the Mean Value Theorem can be applied to
f on the closed interval a, b). If the Mean Value Theorem can
be applied, find all values of c in the open interval (a, b) such
that
f(b) – f(a)
f'(c) =
b - a
If the Mean Value Theorem cannot be applied, explain why not.
40. f(x) = 2x', [0. 6]
39. f(x) = x², [-2. 1]
41. f(x) = x* + 2x, [-1, 1] 42. f(x) = x* – 8r, [0, 2]
63
43. f(x) = x/, [0. 1]
44. /(x) =
[-1, 2]
45. f(x) = |2x + |. [-1,3] 46. S) = /2 - x. [-7. 2]
47. f(x) = sin x, [0. 7]
48. f(x) = e *, [0, 2]
49. f(x) = cos x + tan x. [0, 7]
50. f(x) = (x + 3) In(x + 3). [-2, -1]
64.
51. f(x) = x log, t, [1. 2]
52. (x) = arctan(1-x), [0 1
Using the Mean Value Theorem In Exercises 53-58, use
a graphing utility to (a) graph the function f on the given
interval, (b) find and graph the secant line through points on
the graph of f at the endpoints of the given interval, and (c) find
and graph any tangent lines to the graph of / that are parallel
. . 65
at
to the secant line.
25
AAS](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39660209-0130-4531-8e39-edad714133c0%2Feefc6ff7-ab04-436e-81ab-e0131c4967b0%2Fqmc6bmc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6th ed.
236 /1321
125%
O Find the equaion of the tangent line torough c
(d) Use a graphing utility g ph f, the secant line, and the
tangent line.
Using the Mean Value Theorem In Exercises 39-52,
determine whether the Mean Value Theorem can be applied to
f on the closed interval a, b). If the Mean Value Theorem can
be applied, find all values of c in the open interval (a, b) such
that
f(b) – f(a)
f'(c) =
b - a
If the Mean Value Theorem cannot be applied, explain why not.
40. f(x) = 2x', [0. 6]
39. f(x) = x², [-2. 1]
41. f(x) = x* + 2x, [-1, 1] 42. f(x) = x* – 8r, [0, 2]
63
43. f(x) = x/, [0. 1]
44. /(x) =
[-1, 2]
45. f(x) = |2x + |. [-1,3] 46. S) = /2 - x. [-7. 2]
47. f(x) = sin x, [0. 7]
48. f(x) = e *, [0, 2]
49. f(x) = cos x + tan x. [0, 7]
50. f(x) = (x + 3) In(x + 3). [-2, -1]
64.
51. f(x) = x log, t, [1. 2]
52. (x) = arctan(1-x), [0 1
Using the Mean Value Theorem In Exercises 53-58, use
a graphing utility to (a) graph the function f on the given
interval, (b) find and graph the secant line through points on
the graph of f at the endpoints of the given interval, and (c) find
and graph any tangent lines to the graph of / that are parallel
. . 65
at
to the secant line.
25
AAS
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