A circle with radius 5cm has its radius increasing at the rate of 0.2m/s. What will be the corresponding increase in the area?

If \(y = x^2 - \frac{1}{x}\). find dy/dx

Solve for x in the equation x\(^3\) - 5x\(^2\) - x + 5 = 0

The time taken to do a piece of work is inversely proportional to the number of men employed. if it takes 45 men to do a piece of work in 5 days, how long will it take 25 men?

Find the range of values of x for which \(\frac{(x+2)}{4}-\frac{2x-3}{3}<4\)