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The goal of this problem is to overestimate and underestimate the area under the graph of $f(x)=28+12x-x^2$ from $x=-2$ to $x=14$ using an "upper sum" and "lower sum" of areas of $4$ rectangles of equal width.

$($a$)$ Overestimate using an upper sum

ANSWER:

$($b$)$ Underestimate using a lower sum

ANSWER:

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