The differential of x5 is
5 x3 d x
4 x4 d x
5 x5d x
5 x4d x
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 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
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
If y = x3 +2 x2 , find d y
(3 x2 +4 x) d x
(3 x2 + 4 x2 )d x
(4 x2 +3 x) d y
None of these
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 u = and f= sin u, then f is a homogeneous function of degree
0
1
2
4
If u = , then is equal to
u
-u
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
The percentage error in the 11th root of the number 28 is approximately ___________ times the percentage error in 28
1/28
1/11
11
28
