Question 1(a):The parametric equations of a function are x = 2 cos³0, y = 2sin 30.Question 1(b):Find the equations of the tangent and normal at the point for which元0=== 45°4(15)Find the radius of curvature and the coordinates of the centre of2curvature of the curve+25 161 at the point (0, 4). (20)Question 2(a):Determine the smallest positive value of x at which a point ofinflexion occurs on the graph of y = 3e3* cos(3x-6).(15)Question 2(b):Question 3(a):(i) Determine whether the following series is convergent or divergent:22222x3 3x44x55x 6sin x cos x(ii) Evaluate:Lim(10)(10)If the 7th term of an A.P. is 22 and the 12th term is 37, find the first fiveterms of the series.(10)Question 3(b):By the use of Maclaurin's series, show that tanx=x-+5(20)

Answered: Image /qna-images/answer/02cda0ac-ce6c-497b-92d4-e05f352fcd14.jpg

Answered: Question 1(a): The parametric equations…

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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