The rate of change of area A of a circle of radius r is
The angle between the curves y = x2 and x = y2 at their point of intersection other than the origin is
The value of
The slope of the tangent to the curve y = 3 x2 +3 sinx at x = 0 is
3
2
1
-7
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 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
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
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
What is the surface area of a sphere when the volume is increasing at the same rate as its radius?
1/2λ
4λ