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
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 equation of the normal to the curve Q = 1/t at the point (-3,-1/3) is
3 Q = 27 t - 80
5 Q = 27 t - 80
3 Q = 27 t + 80
Q = 1/t
The angular displacement Θ radians of a fly wheel varies with time t seconds and follows the equation θ =9 t2 -2 t3 .Determine the angular velocity of the fly wheel when time t = 1 second
10
12
14
16
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
The point on the curve y =2 x2 - 6 x - 4 at which the tangent is parallel to the x - axis is
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
The slope of the tangent to the curve y = 3 x2 +3 sinx at x = 0 is
2
1
-7
If the length of the diagonal of a square is increasing at the rate of 0.2 cm/sec,then the rate of increase of its area when the side is is
3cm2/sec
