If `x^2 + y^2 = 4` and `m\ &\ M` are the minimum and maximum value of expression `(1-2x^2)^2 + 4x^2y^2.` then find the value of `(M/7 - 2m).`

If x^(2)+y^(2)=4 and m backslash&backslash M are the minimum and maximum value of expression (1-2x^(2))^(2)+4x^(2)y^(2). then find the value of ((M)/(7)-2m)

If m and M are the minimum and the maximum values of 4+(1)/(2)sin^(2)2x-2cos^(4)x,x in R then

If m and M are the minimum and the maximum values of 4+1/2 sin^2 2x-2cos^4x, x in R then M-m is equal to...

If m and M are the minimum and the maximum values of 4+(1)/(2)sin^(2)2x-2cos^(4)x,x in RR then M-m is equal to

Let x,y in R , then find the maximum and minimum values of expression (x^(2)+y^(2))/(x^(2)+xy+4y^(2)) .

Let x,y in R , then find the maximum and minimum values of expression (x^(2)+y^(2))/(x^(2)+xy+4y^(2)) .

Let x,y in R , then find the maximum and minimum values of expression (x^(2)+y^(2))/(x^(2)+xy+4y^(2)) .

Real number x,y satisfies x^(2)+y^(2)=1. If the maximum and minimum value of the expression z=(4-y)/(7-x) are M and m respectively,then find the value (2M+6m)

Let minimum and maximum value of y=2x^(3)-15x^(2)-36x+1AA x in[0,3] is m and M. Then