APPLIED CALCULUS-PRINT COMPANION (LL)
6th Edition
ISBN: 9781119275565
Author: Hughes-Hallett
Publisher: WILEY
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Chapter 10, Problem 22SYU
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Consider the function f(x) = 2x² - 8x + 3 over the interval 0 ≤ x ≤ 9. Complete the following
steps to find the global (absolute) extrema on the interval. Answer exactly. Separate multiple answers
with a comma.
a. Find the derivative of f (x) = 2x² - 8x+3
f'(x)
b. Find any critical point(s) c within the intervl 0 < x < 9. (Enter as reduced fraction as needed)
c. Evaluate the function at the critical point(s). (Enter as reduced fraction as needed. Enter DNE if
none of the critical points are inside the interval)
f(c)
d. Evaluate the function at the endpoints of the interval 0 ≤ x ≤ 9.
f(0)
f(9)
e. Based on the above results, find the global extrema on the interval and where they occur.
The global maximum value is
at a
The global minimum value is
at x
Determine the values and locations of the global (absolute) and local extrema on the graph given.
Assume the domain is a closed interval and the graph represents the entirety of the function.
3
y
-6-5-4-3
2
1
-1
-2
-3
Separate multiple answers with a comma.
Global maximum: y
Global minimum: y
Local maxima: y
Local minima: y
x
6
at a
at a
at x=
at x=
A ball is thrown into the air and its height (in meters) is given by h (t)
in seconds.
-4.92 + 30t+1, where t is
a. After how long does the ball reach its maximum height? Round to 2 decimal places.
seconds
b. What is the maximum height of the ball? Round to 2 decimal places.
meters
Chapter 10 Solutions
APPLIED CALCULUS-PRINT COMPANION (LL)
Ch. 10.1 - Prob. 1PCh. 10.1 - Prob. 2PCh. 10.1 - Prob. 3PCh. 10.1 - Prob. 4PCh. 10.1 - Prob. 5PCh. 10.1 - Prob. 6PCh. 10.1 - Prob. 7PCh. 10.1 - Prob. 8PCh. 10.1 - Prob. 9PCh. 10.1 - Prob. 10P
Ch. 10.1 - Prob. 11PCh. 10.1 - Prob. 12PCh. 10.1 - Prob. 13PCh. 10.1 - Prob. 14PCh. 10.1 - Prob. 15PCh. 10.1 - Prob. 16PCh. 10.1 - Prob. 17PCh. 10.1 - Prob. 18PCh. 10.1 - Prob. 19PCh. 10.1 - Prob. 20PCh. 10.1 - Prob. 21PCh. 10.1 - Prob. 22PCh. 10.1 - Prob. 23PCh. 10.1 - Prob. 24PCh. 10.1 - Prob. 25PCh. 10.1 - Prob. 26PCh. 10.1 - Prob. 27PCh. 10.1 - Prob. 28PCh. 10.1 - Prob. 29PCh. 10.1 - Prob. 30PCh. 10.2 - Prob. 1PCh. 10.2 - Prob. 2PCh. 10.2 - Prob. 3PCh. 10.2 - Prob. 4PCh. 10.2 - Prob. 5PCh. 10.2 - Prob. 6PCh. 10.2 - Prob. 7PCh. 10.2 - Prob. 8PCh. 10.2 - Prob. 9PCh. 10.2 - Prob. 10PCh. 10.2 - Prob. 11PCh. 10.2 - Prob. 12PCh. 10.2 - Prob. 13PCh. 10.2 - Prob. 14PCh. 10.2 - Prob. 15PCh. 10.2 - Prob. 16PCh. 10.2 - Prob. 17PCh. 10.2 - Prob. 18PCh. 10.2 - Prob. 19PCh. 10.2 - Prob. 20PCh. 10.3 - Prob. 1PCh. 10.3 - Prob. 2PCh. 10.3 - Prob. 3PCh. 10.3 - Prob. 4PCh. 10.3 - Prob. 5PCh. 10.3 - Prob. 6PCh. 10.3 - Prob. 7PCh. 10.3 - Prob. 8PCh. 10.3 - Prob. 9PCh. 10.3 - Prob. 10PCh. 10.3 - Prob. 11PCh. 10.3 - Prob. 12PCh. 10.3 - Prob. 13PCh. 10.3 - Prob. 14PCh. 10.3 - Prob. 15PCh. 10.3 - Prob. 16PCh. 10.3 - Prob. 17PCh. 10.3 - Prob. 18PCh. 10.3 - Prob. 19PCh. 10.3 - Prob. 20PCh. 10 - Prob. 1SYUCh. 10 - Prob. 2SYUCh. 10 - Prob. 3SYUCh. 10 - Prob. 4SYUCh. 10 - Prob. 5SYUCh. 10 - Prob. 6SYUCh. 10 - Prob. 7SYUCh. 10 - Prob. 8SYUCh. 10 - Prob. 9SYUCh. 10 - Prob. 10SYUCh. 10 - Prob. 11SYUCh. 10 - Prob. 12SYUCh. 10 - Prob. 13SYUCh. 10 - Prob. 14SYUCh. 10 - Prob. 15SYUCh. 10 - Prob. 16SYUCh. 10 - Prob. 17SYUCh. 10 - Prob. 18SYUCh. 10 - Prob. 19SYUCh. 10 - Prob. 20SYUCh. 10 - Prob. 21SYUCh. 10 - Prob. 22SYUCh. 10 - Prob. 23SYUCh. 10 - Prob. 24SYUCh. 10 - Prob. 25SYUCh. 10 - Prob. 26SYUCh. 10 - Prob. 27SYUCh. 10 - Prob. 28SYUCh. 10 - Prob. 29SYUCh. 10 - Prob. 30SYU
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