If u = xy , then is equal to
yxy-1
u log x
u log y
x yx-1
If x = r cos θ, y = r sinθ then is equal to
sec θ
sin θ
cos θ
cosec θ
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 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 percentage error in the 11th root of the number 28 is approximately ___________ times the percentage error in 28
1/28
1/11
11
28
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 differential of is
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
If u = , then is equal to
u
-u