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calculus

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A cubic polynomial function f is defined by

f(x)= 4x^3+ab^2+bx+k

where a, b, k, are constants. The function f has a local minimum at x=-2

A. Fine the vales of a and b

B. If you integrate f(x) dx =32 from o to 1, what is the value of K?

  • calculus - ,

    I assume you typed the question wrong and meant f(x)= 4x^3 +ax^2 +bx+ k

    The derivative f'(x) must be zero at x = -2, so
    12x^2 + 2ax + b = 0 at x=2
    48 -4a +b = 0
    You need more information to be able to calculate both a and b.

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