The value of a quadratic function of x is 19 when x = 1 and its maximum value is 20 when x = 2. Find the function.

It is given that at x = 1, the function x^(4) – 62x^(2) + ax + 9 attains its maximum value, on the interval [0, 2]. Find the value of a.

The maximum value of the function f(x)=5-x-x^(2) is -

What is the maximum value of the function sin x + cos x?

Show that , the maximum value of the function x+(1)/(x) is less than its minimum value .

The function y=a(1- cos x) is maximum when x is-

The function f(x)=4x-x^(2)-3 has a maximum value at-

Find the maximum value of the function 2x^(3)+3x^(2)-36x+10 .

The number of values of x where the function f(x)=cosx+cos(sqrt2x) attains its maximum is

The minimum value of the function f(x)=2|x-1|+|x-2| is -

The minimum value of the function f(x)=2|x-1|+|x-2| is