P R The diagram shows the curve C with parametric equations x =, y = r'e", where t> 0. The maximum point on C is denoted by P. (a) Determine the exact coordinates of P. The shaded region R is enclosed by the curve, the x-axis and the lines x = 1 and x = 6. (b) Show that the area of R is given by 3te where a and b are constants to be determined. (c) Hence determine the exact area of R.

P R The diagram shows the curve C with parametric equations x =, y = r'e", where t> 0. The maximum point on C is denoted by P. (a) Determine the exact coordinates of P. The shaded region R is enclosed by the curve, the x-axis and the lines x = 1 and x = 6. (b) Show that the area of R is given by 3te where a and b are constants to be determined. (c) Hence determine the exact area of R.

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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