Let `G(u)=2-u^(3)+u^(5)/5`. Find `G^(')(-2)`.

Let f(x) = [x] and g(x) = |x| find (fog)(5/2) -(gof) ((-5)/2)

Discuss the continuity for f(x) = (1 - u^(2))/(2 + u^(2)) , where u = tan x.

Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2) and g = (1,3),(2,1),(3,2),(5,5) find gof

Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2) and g = (1,3),(2,1),(3,2),(5,5) find fog

Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2)) and g = ((1,3),(2,1),(3,2),(5,5)) find fof

Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2)) and g = ((1,3),(2,1),(3,2),(5,5)) find gog

Let u = cot^(-1) sqrt(cos 2 theta) - tan^(-1) sqrt( cos 2 theta) , then the value of sin u is

If A= ((1,0,0),(2,1,0),(3,2,1)), U_(1), U_(2), and U_(3) are column matrices satisfying AU_(1) =((1),(0),(0)), AU_(2) = ((2),(3),(0))and AU_(3) = ((2),(3),(1)) and U is 3xx3 matrix when columns are U_(1), U_(2), U_(3) then answer the following questions The value of [3 2 0] I((3),(2),(0)) is

If y^(2)=ax^(2)+2bx+c and u_(n)= int (x^(n))/(y)dx , prove that (n+1)a u_(n+1)+(2n+1)bu_(n)+(n)c u_(n-1)=x^(n)y and deduce that au_(1)=y-b u_(0), 2a^(2)u_(2)=y(ax-3b)-(ac-3b^(2))u_(0) .