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
The differential of is
none of these
The differential of x5 is
5 x3 d x
4 x4 d x
5 x5d x
5 x4d x
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
If x = r cos θ, y = r sinθ then is equal to
sec θ
sin θ
cos θ
cosec θ
The differential of sin 2 x is
2 cos x d x
2 sin 2 x d x
2 cos 2 x d x
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
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
If u = and f= sin u, then f is a homogeneous function of degree
0
1
2
4
The differential of y = is
