Mathematics Tes...

Maximum value of sinx .cos x is 

The minimum value of the function f(x) = |x - 4| exists at

Consider the function f(x) = x + \(\rm \frac{1}{x}\). Which of the following is correct?

What is the length of the longest interval in which the function f(x) = 3sin x – 4sin³ x is increasing?

The maximum value of xy + 5 subject to 2x + y = 4 is:

A stone thrown vertically upward satisfied the equation s = 64t - 16t², where s is in metre and t is in second. What is the time required to reach the maximum height by the stone?

The maximum value of \(\rm \frac{(log x)}{x}\) is

The length x of a rectangle is decreasing at the rate of 7 cm/min and the width y is increasing at the rate of 6 cm/ min. when x =10 cm and y = 8 cm find the rate of change of the area of the rectangle.

Let the slope of the curve y = sin-1 (cos x) be tan θ, then the value of θ in the interval (0, π) is

Find the value of x for which f(x) = x - e^x is an increasing function