1.) Using Mean Value Theorem find any c values of f(x) = (x^2+1)^(1/2) on interval [0, sqrt(8)]?
2.) Find the value of a such that the function f(x)=a sin x + (1/3)sin 3x gets its extremum points at the point x= (pi/3). Decide if it is maximum or minimum and find this minimum or maximum value.
3.) Find the value of the relative minimum of the function f(x)= x^2 - (54/x)
4.) Specify the region over which the following function f(x) is increasing and the region where it is decreasing. f(x) = sqrt(-x)
5.) Given the function f(x) = (3x) / (2+5x^2), find its region of increase and decrease. Give an open interval or a union of open intervals.
6.) Specify the region over which the following function f(x) is increasing and the region where it is decreasing. f(x) = 1 / |x|
7.) Find intervals of increase and decrease and determine local maximum and minimum of f(x) = (2x^2 - 5x + 2) / (3x^2 - 10x + 3)
2.) Find the value of a such that the function f(x)=a sin x + (1/3)sin 3x gets its extremum points at the point x= (pi/3). Decide if it is maximum or minimum and find this minimum or maximum value.
3.) Find the value of the relative minimum of the function f(x)= x^2 - (54/x)
4.) Specify the region over which the following function f(x) is increasing and the region where it is decreasing. f(x) = sqrt(-x)
5.) Given the function f(x) = (3x) / (2+5x^2), find its region of increase and decrease. Give an open interval or a union of open intervals.
6.) Specify the region over which the following function f(x) is increasing and the region where it is decreasing. f(x) = 1 / |x|
7.) Find intervals of increase and decrease and determine local maximum and minimum of f(x) = (2x^2 - 5x + 2) / (3x^2 - 10x + 3)