Page 305 - DMTH201_Basic Mathematics-1

Basic Mathematics – I

Notes
5 1 22 7
(c) , (d) ,
126 26 7 77
4. x t 1,y t 3 12 for t 0, determine co-ordinat of stationary points.
t
5 1
(a) , (b) 1 2, 16
4 2e

5
(c) , 2 (d) 2 , 16
28

2
d y
5. x = sin t, y = cos t determine
dx 2
(a) sec t (b) sec t
3
2
3
(c) cos t (d) cosec t
2
2
d y
3
-t
6. x = e , y = t + t + 1, thus
dx 2
1
(a) (b) 3t 2 6t 1 e 2t
2t
1
2
(c) sec t (d)
9t 3
11.8 Review Questions

dy
2
3
1. Determine , if x = t + 1, y = t 1
dx
dy
2. Explain , if x = 3 cos t, y = 3 sin t
dx

dy
2
3. Solve , if x = 2t + 1, y = t cos t
3
dx
4. Determine the co-ordinates of the stationary points if x = 5t , y = 5t t for t > 0
6
4
5
2
5. Determine the co-ordinates of the stationary points if x = t + t , y = sin t for 0 < t <
2
d y
3
6. Determine in terms of t, if x = 3t + 1, y = t 2t 2
2
dx 2
2
d y 1
7. Explain in terms of t, if x t 2 2,y sin(t 1)
dx 2 2

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