The coefficient of `t^4` in `((1-t^6)/(1-t))^3`
(a) `18`
(b) `12`
(c) `9`
(d) `15`

Coefficient of t^(24) in (1+t^(2))^(12)(1+t^(12))(1+t^(24)) is :

The coefficient of t^4 in the expansion of ((1 - t^6)/(1-t))^(3) is 3k. The value of k is _________.

Find the coefficient of t^(8) in the expansion of (1+2t^(2)-t^(3))^(9)

3, 7, 6, 5, 9, 3, 12, 1, 15, (......) (a) 18 (b) 13 (c) -1 (d) 3

Solve : (t + 2)/(3) + 1/(t + 1) = (t - 3)/(2) - (t - 1)/(6)

If u=sin^(-1)(x-y),x=3t,y=4t^(3) , then what is the derivative of u with respect to t? (A) 3(1-t^2) (B) 3(1-t^2)^(-1/2) (C) 5(1-t^2)^(-1/2) (D) 5(1-t^2)

If u = 3t^(4) - 5t^(3) + 2t^(2) - 18t+4 , find (du)/(dt) at t = 1 .