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ambermatlock48
ambermatlock48 ambermatlock48
  • 30-03-2015
  • Mathematics
Answered

Find the area under one arch of a cycloid described by the parametric equations

x = 3(20 - sin 20) and y = 3( 1 - cos 20). Use 0 and π for the limiting values of θ .

A9π
Bl8π
C27π
D36π

Verified Answer :

Panoyin
Panoyin Panoyin
  • 30-03-2015

x = 3(20 - sin20)
x = 3(20) - 3(sin20)
x = 60 - 3sin20
x = 60 - 0.927050983
x = 59.07294902

y = 3(1 - cos20)
y = 3(1) - 3(cos20)
y = 3 - 3cos20
y = 3 - 2.853169549
y = 0.1468304511

(x, y) = (59.07294903, 0.1468304511)

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