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 gradient of the curve y = at x = 2 is
-20
27
-16
-21
If V=,at what rate in cubic unit S in V increasing , where r =10 and =0.01 ?
What is the surface area of a sphere when the volume is increasing at the same rate as its radius?
1
1/2λ
4λ
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 angle between the curves y = x2 and x = y2 at their point of intersection other than the origin is
The radius of a sphere is changing at the rate of 0.1 cm/sec. The rate of change of its surface area when the radius is 200 cm is
The equation of the tangent to the curve at the point is
5 y + 3 x = 2
5 y - 3 x = 2
3 x - 5 y = 2
3 x + 3 y = 2
The slope of the tangent to the curve y = 3 x2 +3 sinx at x = 0 is
3
2
-7
A cone whose height is always equal to its diameter is increasing in Volume at the rate of 40 cm2 /sec . At what rate is the radius increasing when its circular base area is 1m2 ?
1mm/sec
0.001 cm/sec
2 mm/sec
0.002 cm/sec
