The point on the curve y =2 x2 - 6 x - 4 at which the tangent is parallel to the x - axis is
The value of
2
-2
-1
1
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
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 =9 t2 -2 t3 .Determine the angular velocity of the fly wheel when time t = 1 second
10
12
14
16
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 the curve x = t2-1, y = t2 - t, the tangent is perpendicular to x - axis when
t = 0
t = l
The slope of the tangent to the curve y = 3 x2 +3 sinx at x = 0 is
-7
Supplies are dropped from an 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 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
