2. (a) Find the exact surface area that is generated by revolving the portion of the curvey = x² between x=2 and x= 4 about the y-axis. Sketch the generated surface.(b) Find the exact arc length of the curvex= e" (sin t + cost), y = e" (sint – cost)over the interval [–1, 1].

Answered: Image /qna-images/answer/ed0624ca-997d-4d39-a51b-138835ca0b22.jpg

Answered: 2. (a) Find the exact surface area that…

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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2. (a) Find the exact surface area that is generated by revolving the portion of the curve y = x² between x=2 and x=4 about the y-axis. Sketch the generated surface. (b) Find the exact arc length of the curve x=e²¹ (sint+cost), y = e²¹ (sint - cost) over the interval [-1, 1].