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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text: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
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