If `u + 1/u = 8` , then find the value of   `u^2 + 1/u^2`

If f(x)=log{(u(x))/(v(x))},u(1)=v(1) and u'(1)=v'(1)=2, then find the value of f'(1) .

If u_(0) = 8 , u_(1) = 3 , u_(2) = 12 , u_(3) = 51 , then the value of Delta^(3) u_(0) is

If u_(n) = cos^(n) alpha + sin^(n) alpha , then the value of 2 u_(6) - 3 u_(4) +1 is :

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

When some object is kept at a distances u_(1) and u_(2) from the concave mirror then size of images are found to be same. If magnitude of focal length can be written as ( u_(1)+ u_(2))//n , then what will be the value of n ? |{:(0,1,2,3,4,5,6,7,8,9):}|