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Chapter 6: Q. 3 (page 541)
Mimic the argument in the reading for this section to argue that a reasonable definition for the arc length of a parametric curve from to is
where and are defined as in the previous problem.
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Use antidifferentiation and/or separation of variables to solve each of the initial-value problems in Exercises 29鈥�52
Use antidifferentiation and/or separation of variables to solve the given differential equations. Your answers will involve unsolved constants.
Use antidifferentiation and/or separation of variables to solve the given differential equations. Your answers will involve unsolved constants.
Find the exact value of the arc length of each function f(x) on [a, b] by writing the arc length as a definite integral and then solving that integral.
,
Consider the region between the graph of and the x-axis on [2, 5]. For each line of rotation given in Exercises 35鈥�40, use definite integrals to find the volume of the resulting solid.
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