The angle between the curves y = x2 and x = y2 at their point of intersection other than the origin is
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 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 value of
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 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
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 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 point on the curve y =2 x2 - 6 x - 4 at which the tangent is parallel to the x - axis is
If V=,at what rate in cubic unit S in V increasing , where r =10 and =0.01 ?
