For what values of x, the rate of increase of x3 -5 x2 +5 x+6 is twice the rate of increase of x ?
1, 7/3
3, 1/3
3, 7/3
1/3,7/3
The equation of the tangent to the curve at the point is
5 y + 3 x = 2
5 y - 3 x = 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
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 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 value of c by Rolles theorem, for the function f(x) = 1- in the interval [-1,1] is
The slope of the tangent to the curve y = 3 x2 +3 sinx at x = 0 is
3
2
1
-7
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 =9 t2 -2 t3 .Determine the angular velocity of the fly wheel when time t = 1 second
10
12
14
16
If V=,at what rate in cubic unit S in V increasing , where r =10 and =0.01 ?
