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 differential of y = is
The differential of y = etanx is
(sec2etanx)dx
(secxetanx)dx
(secxetan2x)dx
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
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
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
Find the differential d y and evaluate dy for the given values of x and d x
y = , x = 0, d x = 0.02
0.1
0.01
0.001
-0.01
