Calculate the area between 0 and 7 /2 of the r = 10 + (1 + cos²0) curve, the x and y ordinates of the area center (G) according to Simpson's rule. h=22.5° = 0.3927 rad.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.5: The Area Between Two Curves
Problem 25E: Find the area between the curves in Exercises 1-28. x=0, x=4, y=cosx, y=sinx
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4. Calculate the area between 0 and r /2 of the r = 10 + (1+cos²0) curve, the ĩ and ỹ
coordinates of the area center (G) according to Simpson's rule. h = 22.5° = 0.3927 rad.
Sr³ cos 0 d0
3Sr³ sin 0 de
r² d0 ,
2
Area = A =
A
A
Transcribed Image Text:4. Calculate the area between 0 and r /2 of the r = 10 + (1+cos²0) curve, the ĩ and ỹ coordinates of the area center (G) according to Simpson's rule. h = 22.5° = 0.3927 rad. Sr³ cos 0 d0 3Sr³ sin 0 de r² d0 , 2 Area = A = A A
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