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7.4 Arc Length and Surfaces of Revolution. Definition of Arc Length Let the function given by y = f(x) represent a smooth curve on the interval [a, b]. The arc length of f between a and b is Similarly, for a smooth curve given by x = g(y), the arc length of g between c and d is.

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## 7.4 Arc Length and Surfaces of Revolution

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**7.4 Arc Length and Surfaces of Revolution**Definition of Arc Length Let the function given by y = f(x) represent a smooth curve on the interval [a, b]. The arc length of f between a and b is Similarly, for a smooth curve given by x = g(y), the arc length of g between c and d is**Ex. 1 Find the arc length of the graph of**on the interval [1/2, 2] Find y’**Ex. 2 Find the arc length of the graph of y = ln(cos x)**from x = 0 to x = Homework 1-23 odd

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