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Find the length of the arc of the curve from point P to point Q. 81 81 x-x² (-0, 32). Q(0,52) 2

Find the length of the arc of the curve from point P to point Q. 81 81 x-x² (-0, 32). Q(0,52) 2

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section: Chapter Questions
Problem 8CLT
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Here is the transcription of the given image for an educational website: --- ### Finding the Arc Length of a Curve **Objective**: Determine the length of the arc of the curve from point \( P \) to point \( Q \). **Given equation**: \( y = \frac{1}{2} x^2 \) **Points**: - \( P(-9, \frac{81}{2}) \) - \( Q(9, \frac{81}{2}) \) --- In this problem, we aim to find the length of the arc of the curve \( y = \frac{1}{2} x^2 \) between the points \( P \left( -9, \frac{81}{2} \right) \) and \( Q \left( 9, \frac{81}{2} \right) \). This requires the application of the arc length formula for a function, which involves calculus and the use of integrals.
Transcribed Image Text:Here is the transcription of the given image for an educational website: --- ### Finding the Arc Length of a Curve **Objective**: Determine the length of the arc of the curve from point \( P \) to point \( Q \). **Given equation**: \( y = \frac{1}{2} x^2 \) **Points**: - \( P(-9, \frac{81}{2}) \) - \( Q(9, \frac{81}{2}) \) --- In this problem, we aim to find the length of the arc of the curve \( y = \frac{1}{2} x^2 \) between the points \( P \left( -9, \frac{81}{2} \right) \) and \( Q \left( 9, \frac{81}{2} \right) \). This requires the application of the arc length formula for a function, which involves calculus and the use of integrals.
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