+ 1. Use the Extreme Value Theorem (EVT) to find the absolute extreme values of the function f (x) = x3 -6x2 9x + 3 on the interval [0, 4]. 2. Find the critical numbers of the function f(x) = 3 tan x - 4x. 3. Determine the interval or intervals where the graph of the function f(x) = x3 3 is: a. Increasing b. Decreasing Concave upward d. Concave downward с. 3 - x satisfies the hypotheses of the Rolle's Theorem on the inter Show that f(x) = [-1, 1], and find all numbers c in (-1, 1) such thatf' (c) = 0. Show that f (x) = (x + 2)3 satisfies the hypotheses of the Mean Value Theorem pn F(6)-f(-1) interval [-1, 6], and find all umbers c in (-1, 6) such thatf'(c) 6-(-1) Find the local extreme values offand the intervals on which f is increasing or is dec 2 and sketch the graph of f(x) = x3 (8-x). Find the limit or show that it does not existL Hogital ule is ed
+ 1. Use the Extreme Value Theorem (EVT) to find the absolute extreme values of the function f (x) = x3 -6x2 9x + 3 on the interval [0, 4]. 2. Find the critical numbers of the function f(x) = 3 tan x - 4x. 3. Determine the interval or intervals where the graph of the function f(x) = x3 3 is: a. Increasing b. Decreasing Concave upward d. Concave downward с. 3 - x satisfies the hypotheses of the Rolle's Theorem on the inter Show that f(x) = [-1, 1], and find all numbers c in (-1, 1) such thatf' (c) = 0. Show that f (x) = (x + 2)3 satisfies the hypotheses of the Mean Value Theorem pn F(6)-f(-1) interval [-1, 6], and find all umbers c in (-1, 6) such thatf'(c) 6-(-1) Find the local extreme values offand the intervals on which f is increasing or is dec 2 and sketch the graph of f(x) = x3 (8-x). Find the limit or show that it does not existL Hogital ule is ed
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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I need help solving number 3 part a-b. Thank you!
![+
1.
Use the Extreme Value Theorem (EVT) to find the absolute extreme values of the function
f (x)
= x3 -6x2 9x + 3 on the interval [0, 4].
2. Find the critical numbers of the function f(x) = 3 tan x - 4x.
3. Determine the interval or intervals where the graph of the function f(x) = x3
3
is:
a. Increasing
b. Decreasing
Concave upward
d. Concave downward
с.
3
- x satisfies the hypotheses of the Rolle's Theorem on the inter
Show that f(x) =
[-1, 1], and find all numbers c in (-1, 1) such thatf' (c) = 0.
Show that f (x) = (x + 2)3 satisfies the hypotheses of the Mean Value Theorem pn
F(6)-f(-1)
interval [-1, 6], and find all umbers c in (-1, 6) such thatf'(c)
6-(-1)
Find the local extreme values offand the intervals on which f is increasing or is dec
2
and sketch the graph of f(x) = x3 (8-x).
Find the limit or show that it does not existL Hogital ule is ed](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a088b1e-21eb-4a50-a7c3-ad0d75c027d5%2F9b58432a-7db1-4b99-b288-9b6506d28920%2Fc4txui4.jpeg&w=3840&q=75)
Transcribed Image Text:+
1.
Use the Extreme Value Theorem (EVT) to find the absolute extreme values of the function
f (x)
= x3 -6x2 9x + 3 on the interval [0, 4].
2. Find the critical numbers of the function f(x) = 3 tan x - 4x.
3. Determine the interval or intervals where the graph of the function f(x) = x3
3
is:
a. Increasing
b. Decreasing
Concave upward
d. Concave downward
с.
3
- x satisfies the hypotheses of the Rolle's Theorem on the inter
Show that f(x) =
[-1, 1], and find all numbers c in (-1, 1) such thatf' (c) = 0.
Show that f (x) = (x + 2)3 satisfies the hypotheses of the Mean Value Theorem pn
F(6)-f(-1)
interval [-1, 6], and find all umbers c in (-1, 6) such thatf'(c)
6-(-1)
Find the local extreme values offand the intervals on which f is increasing or is dec
2
and sketch the graph of f(x) = x3 (8-x).
Find the limit or show that it does not existL Hogital ule is ed
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