a sprinkler that sprays water in a circular area can be adjusted to spray up to 30 feet. turning the radius-reduction screw on t
2 answers:
Answer: 1590.4 square feet
Step-by-step explanation:
Given: The radius of the circular area = 30 feet
Now, 25% of the radius = feet
If the we reduce the radius by 25%, then the radius of the circular area =
Now, the circular area of the spray is given by :-
Therefore, the maximum area of lawn that can be watered by the sprinkler if the radius-reduction is used at full capacity = 1590.4 square feet.
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with a Riemann sum, which comes in the form
where
The simplest way of approximating the definite integral is by partitioning the interval into equally-spaced subintervals, in which case
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So if we had
Note that the right endpoints follow a precise pattern of
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and so on, so that the definite integral is given exactly by the infinite sum