Question: G(x) = -x 4 + 32x 2 + 144 (a) Determine whether G is even, odd, or neither. (b) There is a local maximum value

G(x) = -x⁴ + 32x² + 144

(a) Determine whether G is even, odd, or neither.

(b) There is a local maximum value of 400 at x = 4.

Determine a second local maximum value.

(c) Suppose the area under the graph of G between x = 0 and x = 6 that is bounded below by the x-axis is 1612.8 square units. Using the result from part (a), determine the area under the graph of G between x = -6 and x = 0 bounded below by the x-axis.

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