A culture in the laboratory started with 500 bacteria. Three hours later, the number of bacteria grew exponentially to 8,000. How many bacteria will there be after 4 hours?

An automobile traveling at a rate of 30 ft/s is approaching an intersection. When the automobile is 120 ft from the intersection, a truck traveling at the rate of 40 ft/s crosses the intersection. The automobile and the truck are on roads that are at right angles to each other. How fast are the automobile and the truck separating 2 seconds after the truck leaves the intersection?

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

The associated angles are in radians.

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

The associated angles are in radians.

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

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

What is the definite integral of:

Evaluate: