Find the differential d y and evaluate for the given values of x and y = (x2+5)3, x = 1 ,d x = 0.05
8.8
9.8
10.8
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
The differential of x5 is
5 x3 d x
4 x4 d x
5 x5d x
5 x4d x
The differential of y = is
The differential of sin 2 x is
2 cos x d x
2 sin 2 x d x
2 cos 2 x d x
If x = r cos θ, y = r sinθ then is equal to
sec θ
sin θ
cos θ
cosec θ
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
If u = , then is equal to
u
-u
Find the differential d y and evaluate d y for the given values of x and d x y = x4- 3 x2+ x - 1, x = 2, d x = 0.1
0.1
1.1
2.1
3.1
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
