A culture in the laboratory started with 500 bacteria. Three hours later, the number of bacteria grew exponentially to 8,000. After how many hours will its population become 30,000?

Evaluate:

What is the definite integral of:

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

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

Evaluate the function below from x = 1 up to x = 3.

All associated angles are in radians.

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

The associated angles are in radians.

The demand equation for a particular kind of shirt is

where x hundreds of shirts are demanded per week when p pesos is the price of a shirt. If the shirt is selling this week at 150 pesos and the price is increasing at the rate of 10 pesos per week, find the rate of change in the demand.

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