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 from 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 that is bounded from below by the x-axis.
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