Let C denote the curve defined by the parametric equations I cost ly%3cost + t sint You are to find the arc length of that portion of the curve that lics between the two points with parameter values t 0 and t . [One way is to calculate dx, then dy, then dx, then dy, and then x = sint ds = ydx +dy². Finally, calculate the arc length as a definite integral of ds. Or define a vector-valued function and use ds =r'(t) dt.] %3D
Let C denote the curve defined by the parametric equations I cost ly%3cost + t sint You are to find the arc length of that portion of the curve that lics between the two points with parameter values t 0 and t . [One way is to calculate dx, then dy, then dx, then dy, and then x = sint ds = ydx +dy². Finally, calculate the arc length as a definite integral of ds. Or define a vector-valued function and use ds =r'(t) dt.] %3D
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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