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5 (5) Throughout this problem you need to use Calculus for your solu- tions. No credit will be given for reading the results off

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5 (5) Throughout this problem you need to use Calculus for your solu- tions. No credit will be given for reading the results off of a graph. All solutions must be exact (that is, not decimal approximations). = x3 + x - 2x, which in factored form is h(x) = Let h(x) x(x+2)(x-1). a) Find all critical points of h(x). (Recall that the quadratic for- mula is x = -bb2-4ac .) 2a b) Determine the interval(s) on which h(x) is increasing and de- creasing. c) Determine whether each critical point is a relative maximum, a relative minimum, or neither.

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