COSMOS Chapter 9 Solution 8 | Answer Key - Edubirdie

University:
Michigan State University
Course:
ERG 160 | Success in Science, Technology, Engineering, and Mathematics
Academic year:

2021
Views:

167

Pages:

2
Author:

Arielle Armstrong

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 8. Have y = kx 2 + c At x = 0, y = b: b = k (0) + c or c=b At x = 2a, y = 0: 0 = k (2a) 2 + b or k =− Then y = Now dI x = = b 4a 2 b 4a 2 − x 2 4a 2 ( ) 1 3 y dx 3 3 1 b3 4a 2 − x 2 dx 6 3 64a ( ) continued COSMOS: Complete Online Solutions Manual Organization System Then I x = ∫ dI x = 3 1 b3 2 a 4a 2 − x 2 dx 6 ∫a 3 64a = b3 2a 64a 6 − 48a 4 x 2 + 12a 2 x 4 − x 6 dx 6 ∫a 192a ( ) ( ) 2a b3  12 2 5 x 7  6 4 3 64 a x 16 a x a x − = − +   5 7 a 192a 6  = b3  64a 7( 2 − 1) − 16a 7 ( 8 − 1) 192a 6  + = 12 7 1  a ( 32 − 1) − (128 − 1)  5 7  ab3  372 127  3 −  64 − 112 +  = 0.043006ab 192  5 7  I x = 0.0430ab3

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