An aquarium can hold 3744 cubic inches of water. Ben fills the aquarium 9/10 full of water. Water weighs about 0.036 pound per c
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Answer:
See below
Step-by-step explanation:
We start by dividing the interval [0,4] into n sub-intervals of length 4/n
Since f is increasing in the interval [0,4], the upper sum is obtained by evaluating f at the right end of each sub-interval multiplied by 4/n.
Geometrically, these are the areas of the rectangles whose height is f evaluated at the right end of the interval and base 4/n (see picture)
but
so the upper sum equals
When both
and
tend to zero and the upper sum tends to
