The differential of x tan x = y is
(x sec2 x + tan x)dx
(x3 sec2 x + tan x ) dx
(x tan2 x+ sec x )dx
none of these
The curve y2(x-2) = x2 (1+x) has
An asymptote parallel to x- axis
An asymptote parallel to y -axis
An asymptote parallel to both axis
No asymptotes
If u = xy , then is equal to
yxy-1
u log x
u log y
x yx-1
The differential of x5 is
5 x3 d x
4 x4 d x
5 x5d x
5 x4d x
Find the approximate change in the volume v of a cube of side x meters caused by increasing the side by 1
-0.03 x3m3
0.04 x3m3
0,03 x3m3
-0.04 x3 m3
Find the differential d y and evaluate d y for the given values of x and d x .y = 1-x2 , x = 5, d x = 1/2
4
5
-4
-5
If u = and f= sin u, then f is a homogeneous function of degree
0
1
2
If x = r cos θ, y = r sinθ then is equal to
sec θ
sin θ
cos θ
cosec θ
The differential of is
The time of swing T of a pendulam is given by T= k where k is a constant. Determine the percentage error in the time of swing if the length of the pendulum 1 changes from 32.1 cm to 32.0 cm
0.146
0.156
-0.146
-0.156
