Design Layout Question 2(a): Find the radius of curvature at the point P (1, 1) on the curve x³-2xy + y³ = 0. (15) d² y Question 2(b): Given that x = 1 + sin 0, y = sin 0- (1/2) cos 20, show that = 2. dx² Question 3(a): Question 3(b): (i) Find the radius of curvature and the centre of curvature for the point on this curve where 0 = 30°. (20) Find the stationary points and points of inflexion on the curve and sketch its graph. y=2x³-5x+4x-1 (15) The third term of an A.P. is 34 and the 17th term is -8. Find the sum of the first 20 terms. (10) (ii) Find the sum of the following G.P. with infinite terms: 1 1 8+4+2+1 + − + − +... 2 4 (10) Course Lecturer: Dr J. Prakash English (United States) Text Predictions: On A? Accessibility: Unavailable DELL Focus BA
Design Layout Question 2(a): Find the radius of curvature at the point P (1, 1) on the curve x³-2xy + y³ = 0. (15) d² y Question 2(b): Given that x = 1 + sin 0, y = sin 0- (1/2) cos 20, show that = 2. dx² Question 3(a): Question 3(b): (i) Find the radius of curvature and the centre of curvature for the point on this curve where 0 = 30°. (20) Find the stationary points and points of inflexion on the curve and sketch its graph. y=2x³-5x+4x-1 (15) The third term of an A.P. is 34 and the 17th term is -8. Find the sum of the first 20 terms. (10) (ii) Find the sum of the following G.P. with infinite terms: 1 1 8+4+2+1 + − + − +... 2 4 (10) Course Lecturer: Dr J. Prakash English (United States) Text Predictions: On A? Accessibility: Unavailable DELL Focus BA
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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