Optimize the following functions and test the second-order conditions at the critical points to distinguish between a relative maximum and a relative minimum.

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(a) y=8x2-208x + 73 (c) y = -2x3 + 69x + 1260x9 (e) y = 3x345x2 - 675x+13 (g) y=x4 +36x3 +280x-79 (b) y=-12x2 + 528x +95 (d) y=x3+27x +96x-47 - (f) y=-4x3 + 186x2 1008x+25 (h) y=4x448x3288x2 + 129