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A take-home quiz for math 220 students in the spring 2011 semester. The quiz consists of three problems, including finding critical numbers, completing sentences about a function, and calculating the rate at which the camera's angle of elevation is increasing. Students are allowed to work with classmates but must write up solutions independently, and are not allowed to use calculators or computers.
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Math 220 Quiz 8 (take-home) Spring 2011
Name
f ′(x) = 3ex^
( x^2 − 9
) 7 ( x^2 + 25
) 6 (2x − 20)^8
(a) Find each critical number of the function f (x).
(b) Find the x-value for each local maximum value of f (x).
(c) Find the x-value for each local minimum value of f (x).
(a) The function f is decreasing on the interval.
(b) The function f is increasing on the interval.
(c) The function f is concave down on the interval.
(d) The function f is concave up on the interval.