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 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 angle between the curves y = x2 and x = y2 at their point of intersection other than the origin is
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 ?
5
3√2
0. 15
The equation of the normal to the curve Q = 1/t at the point (-3,-1/3) is
3 Q = 27 t - 80
5 Q = 27 t - 80
3 Q = 27 t + 80
Q = 1/t
The value of c by Rolles theorem, for the function f(x) = 1- in the interval [-1,1] is
What is the surface area of a sphere when the volume is increasing at the same rate as its radius?
1/2λ
4λ
The value of
If V=,at what rate in cubic unit S in V increasing , where r =10 and =0.01 ?
