4u^(2)+8u

Write the following in their standard form: 4u^(2)+u-3u^(6)+2

if a+ib=((u+i)^(2))/(2u-i) then prove that a^(2)+b^(2)=((u^(2)+1)^(2))/(4u^(2)+1)

If S_(n) = u_(1) + u_(2) + u_(3)+…+u_(n) = 4^(n) -1 , find the first four terms of the sequence {u_(n)} .

If : sin^(6)theta+cos^(6)theta=1-3u^(2)+3u^(4), "then" : u =

If u_(1), u_(2), u_(3),… form a G.P. with common ratio k, find the sum of u_(1)u_(2) + u_(2)u_(3)+….+u_(n)u_(n+1) in terms of u_(1) and k.

If y=1/4u^(4) " and " u=2/3x^(3)+5, " then " (dy)/(dx) is

Find the point of discontinuity of y=f(u) where f(u)=(3)/(2u^(2)+5u-3) and u=(1)/(x+2)

If : sin^(4)theta+cos^(4)theta+sin^(2)theta*cos^(2)theta=1-u^(2), "then" : u=

If U_(n)=(sqrt(3)+1)^(2n)+(sqrt(3)-1)^(2n), then prove that U_(n+1)=8U_(n)-4U_(n-1)