Applications of...

If f(x) = sin x/e^x in [0, π], then f(x)

The function f defined by f(x) = 4x⁴ - 2x + 1 in increasing for

A function f is defined by f(x) = 2 + (x - 1)^2/3 in [0, 2]. Which of the following is not correct?

The function f(x) = cot^-1 x + x increases in the interval

In the interval (-3, 3) the function

A particle moves in a straight line so that it covered a distance at^{3 + bt + 5 metre in t seconds. If its acceleration after 4 seconds is 48 m/s2, then a is equal to}

The approximate value of f(5.001), where
f(x) = x³ - 7 x² + 15 is

If there is an error of ± 0.04 cm in the measurement of the diameter of a sphere, then the approximate percentage error in its volume, when the radius is 10 cm, is