Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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U.S. AIDS Deaths The function D defined by
D(x) = 2375x² + 5134x + 5020
models AIDS deaths x years after 1984. Write a for-
mula g(x) that computes AIDS deaths during year
x, where x is the actual year.
Consider the equation below. (If an answer does not exist, enter DNE.)
f(x) = x* - 32x² + 4
(a) Find the interval on which f is increasing. (Enter your answer using interval notation.)
(-4,0) U (4,0)
Find the interval on which fis decreasing. (Enter your answer using interval notation.)
(-0,4) U (0,4)
(b) Find the local maximum and minimum values of f.
local minimum value
-4,4
local maximum value
(c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.)
(х, у)
(х, у) %3D
Find the interval on which f is concave up. (Enter your answer using interval notation.)
Find the interval on which fis concave down.(Enter your answer using interval notation.)
1
%3D
3-Find zeros and poles of x(z) =
(1--1)(1-2z-2)
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