Question: Given (x) = -1.5x6 2x4 + 12x (a) Plot the function. (b) Use analytical methods to prove that the function is concave for all

Given

ƒ(x) = -1.5x6 – 2x4 + 12x

(a) Plot the function.

(b) Use analytical methods to prove that the function is concave for all values of x.

(c) Differentiate the function and then use a root-location method to solve for the maximum ƒ(x) and the corresponding value of x.


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