For the curve x = t2-1, y = t2 - t, the tangent is perpendicular to x - axis when
t = 0
t = 1
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
0
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 gradient of the curve y = at x = 2 is
-20
27
16
-21
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
The value of
The rate of change of area A of a circle of radius r is
Supplies are dropped from a helicopter and distance fallen in time t seconds is given by x = 1/2 gt2 where g = 9.8 m/sec2 .Determine the velocity of the supplies after it has falls for 2 seconds.
19.2
19.4
19.6
19.8
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
