If x=a( + ) and y=a(1- ) then ( d^2 y dx^2 )_ a t = / 2 =

Step-by-step solution

aligned & x = a ( + ) and y = a (1- ) & d x d =a(1+ ) and d y d =a( ) & d y d x = a a(1+ ) = 1+ & d^2 y d x^2 = d d ( d y d x ) ( d d x )= d d ( 1+ ) 1 ( d x d ) & = (1+ )( )- (- ) (1+ )^2 a (1+ ) & = + ^2 + ^2 a (1+ )^3 = 1+ a (1+ )^3 = 1 a (1+ )^2 & ( d ^2 y dx ^2 )_ = 2 = 1 a (1+ 2 )^2 = 1 a & aligned