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
If V=,at what rate in cubic unit S in V increasing , where r =10 and =0.01 ?
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
If the length of the diagonal of a square is increasing at the rate of 0.2 cm/sec,then the rate of increase of its area when the side is is
3cm2/sec
The value of c by Rolles theorem, for the function f(x) = 1- in the interval [-1,1] 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 gradient of the curve y = at x = 2 is
-20
27
-16
-21
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
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 ?
3√2
0. 15