Find the derivatives of (2 + 3x)(1 - x) with respect to x

What is the rate of change of the volume V of a hemisphere with respect to its radius r when r = 2?

Find the derivatives of the function y = 2x\(^2\)(2x - 1) at the point x = -1?

Evaluate \(\int_{1}^{3}(x^2 - 1)dx\)

Some white balls put in a basket containing twelve red balls and sixteen black balls. If the probability of picking a white ball from the baskets is \(\frac{3}{7}\), how many white balls were introduced?