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Find the quadratic function

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Reference no: EM131075240

MATH 16A WORKSHEET 7-

(1) Find all relative maxima and minima of the function f(x) = (1/3)x3 - (5/2)x2 + 4x + 1 and indicate whether each point is a minimum or maximum.

(2) Is the function f(x) = -(1/2)x4 concave up or down at x = 0?

(3) Find the quadratic function f(x) = ax2 + bx + c that goes through (-1, 6) and has a local minimum at (2, 1).

(4) Find the minimum of Q = x2 + y2 if x + y = 6. Is there an absolute maximum?

(5) Find two positive numbers x and y whose sum is 13 and whose product is as large as possible.

Reference no: EM131075240

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