Evaluate the trigonometric function below from x = 2 up to x = 3.

The associated angles are in radians.

Evaluate the first derivative of the function below at (1, -2).

Evaluate the radical function below from x = 1 up to x = 5.

Evaluate the polynomial function below from r = 2 up to r = 3.

Find the area underneath the curve. Write your answer corresponds to the problem below. Express your answer into 2 decimal places.

Evaluate the exponential function below from x = 1 up to x = 5.

A water tank in the form of an inverted cone is being emptied at the rate of 6 cubic meters per minute. The altitude of the cone is 24 meters, and the radius is 12 meters. Find how fast the water level is lowering when the water is 10 meters deep?

Evaluate the radical function below from s = 2 up to s = 3.

The supply equation for a certain commodity is

where x units are supplied per month when p pesos is the price per unit. Find the rate of change in the supply if the current price is 20 pesos per unit and the price is increasing at the rate of 50 centavos per month.