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
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
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
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 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 y = etanx is
(sec2etanx)dx
(secxetanx)dx
(secxetan2x)dx
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
If u = , then is equal to
u
-u
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
