Chapter 2.3, Problem 78MP

78. $G\left(x\right)=-x^4+32x^2+144$

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