Explanation Given information : x 2 = ( y − 2 ) 3 from P ( 1 , 3 ) t o Q ( 8 , 6 ) . Formula used: The arc length, s is given by s = ∫ a b 1 + ( y ' ) 2 d x Calculation: Given equation of curve. x 2 = ( y − 2 ) 3 ⇒ y = x 2 3 + 2 y ' = 2 3 x − 1 3 1 + ( y ' ) 2 = 1 + ( 2 3 x − 1 3 ) 2 = 9 x 2 3 + 4 3 x 1 3 The arc length is given by s =

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ISBN: 9781319050733

Author: Rogawski

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Question

Chapter 9.2, Problem 21E

To determine

To find:The arc length of the curve x2=(y−2)3 from P(1,3) to Q(8,6) .

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Chapter 9.2, Problem 20E

Chapter 9.2, Problem 22E

Chapter 9 Solutions

CALCULUS (CLOTH)

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The arc length of the curve x 2 = ( y − 2 ) 3 from P ( 1 , 3 ) t o Q ( 8 , 6 ) .

Solution Summary: The author calculates the arc length of the curve x2=(y-2)3 from P(1,3)toQ(8,6).

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To find:The arc length of the curve x2=(y−2)3 from P(1,3) to Q(8,6) .

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Chapter 9 Solutions