What is the surface area of a sphere when the volume is increasing at the same rate as its radius?
1
1/2λ
4λ
If V=,at what rate in cubic unit S in V increasing , where r =10 and =0.01 ?
The value of c by Rolles theorem, for the function f(x) = 1- in the interval [-1,1] is
0
The rate of change of area A of a circle of radius r is
For the curve x = t2-1, y = t2 - t, the tangent is perpendicular to x - axis when
t = 0
t = 1
The angular displacement θ radians of a fly wheel varies with time t seconds and follows the equation Θ=qt2 -2t3 .Determine the angular velocity of the fly wheel when time t = 1 second
10
12
14
16
The value of
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 point on the curve y =2 x2 - 6 x - 4 at which the tangent is parallel to the x - axis is
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
