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SOLVED:A cubic function is a polynomial of degree 3 ; that is, it has the form f(x)=a x^3 b x^2 c x d, where a ≠0 . (a) Show that a cubic function can have two, one, or no critical number(s). Give examples and sketches to illustrate the three possibilities. (b) How many local extreme values can a cubic function have?

A cubic function is a polynomial of degree 3; that is, it has the form f(x) = ax^3 bx^2 cx d, where a ≠ 0 . (a) Show that a cubic function can have two, one, or no critical number(s). Give examples and sketches to illustrate the three possibilities. (b) How many local extreme values can a cubic function have? | Numerade

13. Find a formula for the cubic function if f(1)=6, and f(−1)=... | Filo

Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y) = 1 - x - y near the origin. The quadratic approximation for f(x,y) is...

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