Find the value of x interval :

-3 < x - 2 < 3

Find the values of x in the interval [0,\ 2pi] which satisfy the inequality : 3\ |sinx-1|>=3+4cos^2x .

Find the values of x in the interval [0,2pi] which satisfy the inequality: 3|2sinx-1|ge3+4cos^(2)x

Find the values of x in the interval [0,2pi] for which 4sin^(2)x - 8 sinx+3 le0

Find the image of interval [-1,3] under the mapping specified by the function f(x)=4x^(3)-12x

Find the value of c in Mean Value theorem for the function f(x)=(2x+3)/(3x-2) in the interval [1,5] .

Find the value of c, of mean value theorem.when (a) f(x) = sqrt(x^(2)-4) , in the interval [2,4] (b) f(x) = 2x^(2) + 3x+ 4 in the interval [1,2] ( c) f(x) = x(x-1) in the interval [1,2].

Find the values of the parameter a for which the roots of the quadratic equation x^(2)+2(a-1)x+a+5=0 are such that both roots lie in the interval (1, 3)

Find the absolute maximum and minimum values of each of the following in the given intervals : f(x)=x^(3)" in "[-2, 2] .

Find the absolute maximum and minimum values of each of the following in the given intervals : f(x)=(x-1)^(2)+3" in "[-3, 1]