(a) Find all critical points and all inflection points of the function f(x) = x 4 ...

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(a) Find all critical points and all inflection points of the function f(x) = x4 − 2ax2 + b. Assume a and b are positive constants.
(b) Find values of the parameters a and b if f has a critical point at the point (2, 5).
(c) If there is a critical point at (2, 5), where are the inflection points?

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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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