`u^2+5u-1800=0`

If u -= x-y-6 and v -= 2x-y-12 find the points (s) of intersection of the two loci 21 u +107 v =0 and 5u-133 v =0.

If u = (x^2+y^2+z^2)^(-1/2) then prove that (del^2u)/(delx^2)+(del^2u)/(dely^2)+(del^2u)/(delz^2) =0

If u= x^3-3xy^2 , show that (del^2u)/(delx^2)+(del^2u)/(dely^2) =0

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

2u+3y=2,4u-6y=0 then u=….

2u+3v=2,4u-6v=0 the value of u= ……….

Q. which of the following is the derivative of f(u) = (2u+1)/(u-2) ? A. f'(u)=2 B. f'(u)=5/(u-2)^2 C. f'(u)=(4u-5)/(u-2)^2 D. f'(u)=5/(u-2) E. f'(u)=(4u-5)/(u-2)

If u_(n)=2 cos n theta , then show that u_(n+1)= u_(1)u_(n)-u_(n-1) , hence, show that 2 cos 5 theta= u_(1)^(5)- 5u_(1)^(3)+ 5u_(1)