Find the value of x for which
`f(x) = ((x-2)^(2)(1-x)(x-3)^(2)(x-4)^(2))/((x-1))le 0.`

find the value of x for which f(x) = ((2x-1)(x-1)^(2)(x-2)^(2))/((x-4)^(2))ge 0.

Find the value of x graphically which satisfy |(x^(2))/(x-1)|le1.

Find the maximum value of f (X) = 2x^2 - x +1

|(x-3)/(x^(2)-4)|le 1.

Find the range of the function f(x)=cot^(-1)(log)_(0. 5)(x^4-2x^2+3)

Find the equivalent definition of f(x)=max.{x^(2),(1-x)^(2),2x(1-x)} " where " 0 le x le 1

Find the values of x graphically which satisfy, -1le[x]-x^(2)+4le2 , where [.] denotes the greatest integer function.

Find the value of k so that the function f(x) = {:{(kx + 5, x le 2),(x-1,x>2):} may be continuous.

if |{:(1,,x,,x^(2)),(x,,x^(2),,1),(x^(2),,1,,x):}|=3 then find the value of Delta_(c)=|{:(x^(3)-1,,0,,x-x^(4)),(0,,x-x^(4),,x^(3)-1),(x-x^(4)-1,,x^(3)-1,,0):}|