F(x) = -x⁴ + 8x² + 8

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

(b) There is a local maximum value of 24 at x = 2.

Determine a second local maximum value.

(c) Suppose the area under the graph of F between x = 0 and x = 3 that is bounded below by the x-axis is 47.4 square units. Using the result from part (a), determine the area under the graph of F between x = -3 and x = 0 bounded below by the x-axis.