The value of
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
The gradient of the curve y = at x = 2 is
-20
27
-16
-21
2
-2
1
-1
What is the surface area of a sphere when the volume is increasing at the same rate as its radius?
1/2λ
4λ
The point on the curve y =2 x2 - 6 x - 4 at which the tangent is parallel to the x - axis 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 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 value of c by Rolles theorem, for the function f(x) = 1- in the interval [-1,1] is