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Consider the function f(x)=x4 e-3xShow all work for the following problems. (5a) (3pts) Find all critical...

Consider the function f(x)=x4 e-3xShow all work for the following problems.

(5a) (3pts) Find all critical numbers of f(x)

(5b) (4pts) On what intervals is f(x) increasing/decreasing? (State the intervals clearly, and show associated mathematical work)

(5c) (3pts) Find all local maximum and local minimum values of f(x)

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