Mathematics Past Questions and Answers

Find the derivative of y = sin(2x\(^3\) + 3x - 4)

The radius r of a circular disc is increasing at the rate of 0.5cm/sec. At what rate is the area of the disc increasing when its radius is 6cm?

The maximum value of the function
f(x) = 2 + x - x² is

Find the area of the figure bounded by the given pair of curves y = x² - x + 3 and y = 3

Evaluate \(\int_0^{\frac{\pi}{2}}sin2xdx\)