7/23/2019 100000995 Answers Assignment 3

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7/23/2019 100000995 Answers Assignment 3

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, x=2 is the vertical asymptote.

7/23/2019 100000995 Answers Assignment 3

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Answers-Assignment 3(a)

1 convex upwards for all x >0 and a >0.

3 x= 0, 1.

5 (i) convex downward for all x, (ii) No point of inflexion, (iii) convex downwards [(4n+

1)2

, (4n+ 3) 2

], convex upwards [2n, (2n+ 1) 2

] or [(4n+ 3) 2

, (2n+ 2)] and points of

inflexions are (2n+ 1) 2

,nZ

6 (i) x= 0 and y = 0, (ii) x= p and y= 1, (iii) x= 0, (iv) x= 0, y= x+ 1.

7 y= 3x2 12e .

8 (i) y = 2, y= 0 and x= 0 (ii) y= 9x+ 1.

10

2a

2/3

= yx

2

+xy

2

.

13 23

2ar.

14 1el .

15 1

2na.

2