If `y=(a+b x^(3/2))/(x^(5/4))a n dy^(prime)=0a tx=5,` then the value of `(a^2)/(b^2)` is_______

Let y=(2^((log)_2 1/4x)-3^(log)_(27)(x^2+1)^3-2x)/(7^(4(log)_(49)x)-x-1)a n d(dy)/(dx)=a x+b , then the value of a+b is_______.

The value of (x^a.y^(-b))^5(x^5.y^2) is

If (dy)/(dx)=e^(-2y) and y=0 when x=5, then the value of x for y=3 is

If y=(a+bx^((3)/(2)))/(x^((5)/(4)))&(dy)/(dx) vanishes when x=5 then (a)/(b) is

if y=(x^(4)-x^(2)+1)/(x^(2)+sqrt(3)x+1) and (dy)/(dx)=ax+b then the value of a+b is equal to

If the range of the function f(x)=(x^(2)+ax+b)/(x^(2)+2x+3) is [-5,4]a,b in N then find the value of (a^(2)+b^(2))

If a=xy^(2) and b=x^(3)y^(5) where x and y are prime numbers then LCm of (a,b) is _____________.

if y=x^((1)/(2))(5-2x)^((2)/(3))(4-3x)^(-(3)/(4))(77x)^(-(4)/(5)) then the value of (((dy)/(dx))/(y)) is

If 2x+y=5 and 3x-4y=2, then the value of 2xy is (a) 4 (b) 6 (c) 8 (d) 10

If (2x-5y)^3-(2x+5y)^3=y[Ax^2+By^2] , then what is the value of (2A-B) ?