AB Calc Assignment Page Assignments & Opportunities: Friday: Finish Questions 21-40 in Semester Practice file - show all work! Thursday, Dec 22: Semester Exam 50 pts Take-home w/ calculator During exam period - no calculator 100 pts T/F and Mult Ch - on scan form 50 pts Show work & justify answers 4-5 EC problems Discuss Quiz 4.2 In class practice on Extrema and Optimization Today's Topics & Class Plan: AB Calculus - Hardtke Quiz 4.4: Extrema & Derivatives 1. Given where f ’(x) = and f “(x) = . (10 pts) Find intervals where f is increasing and decreasing, describe all extrema, describe intervals of concavity and coordinates of any inflection points. Show all work clearly and justify your results. AB Quiz 4.4 Solutions Monday, December 05, 2011 Chapter 4 Page 1
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AB Calc Assignment Page
Assignments & Opportunities:
Friday: Finish Questions 21-40 in Semester Practice file - show all work!
Thursday, Dec 22: Semester Exam
50 pts Take-home w/ calculator During exam period - no calculator 100 pts T/F and Mult Ch - on scan form 50 pts Show work & justify answers 4-5 EC problems
Discuss Quiz 4.2
In class practice on Extrema and Optimization
Today's Topics & Class Plan:
AB Calculus - Hardtke
Quiz 4.4: Extrema & Derivatives
1. Given
where f ’(x) =
and f “(x) =
. (10 pts)
Find intervals where f is increasing and decreasing, describe all extrema, describe intervals of concavity and coordinates of any inflection points. Show all work clearly and justify your results.
AB Quiz 4.4 Solutions
Monday, December 05, 2011
Chapter 4 Page 1
2. Find
(1 pt)
3. A rancher with 300 ft of fence intends to enclose a rectangular corral, dividing it in half by a fence parallel to the short sides of the corral. What is the maximum area can be enclosed? Show all work and justify your answer. (4 pts)
Extra Credit - 2 pts Two positive numbers have product 200. Find the minimum value of the sum of one number plus twice the other. Show all work and justify your answer.
Chapter 4 Page 2
Answers to In-Class Practice
1.
2. Answer: 80 ft (north-south fence) by 40 ft (east-west fence)
Chapter 4 Page 3
Chapter 4 Page 4
Chapter 4 Page 5
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