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)=((x-2)^(2)(1-x)(x-3)^(3)(x-4)^(2))/((x+1))<=

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

Find the values of x for which f(x)=((2x-1)(x-1)^(2)(x-2)^(3))/((x-4)^(4))>0

Find the values of x for which (x^(2)-4x+3)/(x^(2)+x+1)<0

The value(s) of x for which the function f(x) = {(1-x, ",", x lt 1),((1-x)(2-x), ",", 1 le x le 2 ),(3-x, ",", x gt 2 ):} fails to be continuous is (are)

If the function f(x) is continuous in the interval [-2, 2]. find the values of a and b where {:(f(x)=(sinax)/(x)-2," ,for "-2 le x lt0),(=2x+1," ,for "0 le x le1),(=2bsqrt(x^(2)+3)-1," ,for " 1 lt x le 2):}

If the function f(x) is continous on the interval [-2, 2], find the values of a and b, where {:(f(x)(sin ax)/(x)-2",","for"-2lelt0),(=2x+1",", "for" 0lex le1),(=2b sqrt(x^(2)+3)-1",","for" 1 lt x le 2.):}

Find the absolute maximum and minimum values of each of the following in the given intervals : f(x)=x^(3)-(5)/(2)x^(2)-2x+1, 0 le x le3.

If f(x)={:{((x^(2)-3x+2)/(x-3)", for " 0 le x lt 4),((x^(2)-1)/(x-2)", for " 4 le x le 6):} , then on [0, 6]