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Lecture

8.1 Arc Length Question #3 (Medium)

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Department
Mathematics
Course Code
MAT136H1
Professor
all

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8.1 Challenging Integral Applications Arc Length Question #3 (Medium): The Exact Length of the Curve Strategy: When the function is given fin terms of , there are two options to solve: 1) keep the function as it is and take the derivatisince the length of the curve can be determined as √ ( ) ; 2) rearrange the function if possible to be re-wrin terms of . sometimes this may be possible and sometimes not. Option 1 is easier route. Sample Question: Find the exact length of the curve. , Solution: Since the function is written for x in terms of y, and because
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