Investigate the one-parameter family of functions. Assume that a is positive. (a) Graph f(x) using three different
Question:
Investigate the one-parameter family of functions. Assume that a is positive.
(a) Graph f(x) using three different values for a.
(b) Using your graph in part (a), describe the critical points of f and how they appear to move as a increases.
(c) Find a formula for the x-coordinates of the critical point(s) of f in terms of a.
f(x) = x2e−ax
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a See Figure 433 b We see in Figure 433 that in each case ...View the full answer
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Related Book For 
Applied Calculus
ISBN: 9781119275565
6th Edition
Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale
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