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City of Kingston sets an outdoor skating rink in Victoria Park. It is 80 feet wide on the south side, 100 feet long along the west side and is bounded by a curve north- east. The shape of the rink is below. y & (North)

City of Kingston sets an outdoor skating rink in Victoria Park. It is 80 feet wide on the south side, 100 feet long along the west side and is bounded by a curve north- east. The shape of the rink is below. y & (North)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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City of Kingston sets an outdoor skating rink in Victoria Park. It is 80 feet wide on the south side, 100 feet long along the west side and is bounded by a curve north- east. The shape of the rink is below. y ft (North) 100 0 Skating Rink 20 40 60 80 The south-north lengths are listed in the following table. x feet to the east Y x ft (East) 0 100 20 93.75 40 75 60 43.75 80 O
Transcribed Image Text:City of Kingston sets an outdoor skating rink in Victoria Park. It is 80 feet wide on the south side, 100 feet long along the west side and is bounded by a curve north- east. The shape of the rink is below. y ft (North) 100 0 Skating Rink 20 40 60 80 The south-north lengths are listed in the following table. x feet to the east Y x ft (East) 0 100 20 93.75 40 75 60 43.75 80 O
(a) Use Trapezoid rule with n=4, TRAP(4), to estimate the area of the rink. Is this an overestimation or underestimation? (b) Suppose the bounding curve is given by a function Y 100 64 Express the area of the rink as a definite integral. (c) Find the exact area of the rink. Round your answer to two decimal places. CE x2
Transcribed Image Text:(a) Use Trapezoid rule with n=4, TRAP(4), to estimate the area of the rink. Is this an overestimation or underestimation? (b) Suppose the bounding curve is given by a function Y 100 64 Express the area of the rink as a definite integral. (c) Find the exact area of the rink. Round your answer to two decimal places. CE x2
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