If the length of the diagonal of a square is increasing at the rate of 0.1 cm/sec. What is the rate of increase of its area when the side is 15/√2 cm ?
1.5
3
3√2
0.15
The value of
The distance x meters described by a car in time t seconds is given by x = 3 t2 - 2 t2 + 4 t - 1. Determine the velocity when t = 0
4
5
6
7
The slope of the tangent to the curve y = 3 x2 +3 sinx at x = 0 is
2
1
-7
For what values of x, the rate of increase of x3 -5x2 +5x+6 is twice the rate of increase of x ?
1, 7/3
3, 1/3
3, 7/3
1/3, 7/3
The slope of the normal to the curve y = 3 x2 at the point where x - co ordinate 2 is
1/13
1/14
-1/12
1/12
What is the surface area of a sphere when the volume is increasing at the same rate as its radius?
1/2λ
4λ
Supplies are dropped from an helicopter and distance fallen in time t seconds is given by x = 1/2 gt2 where g = 9.8 m/sec2 .Determine the velocity of the supplies after it has falls for 2 seconds.
19.2
19.4
19.6
19.8
The angle between the curves y = x2 and x = y2 at their point of intersection other than the origin is
-2
-1
