Go Pro!

Problems > Mr. T's Calculus > 2003

Moldy Growth

A mold grows at a rate proportional to the amount present. Initially, its weight is 3 grams. After 2 days, its weight is 5 grams. How much does it weigh after 12 days?

The oil tank problem

A fuel-oil tank is 10 feet long and has flat ends that are perpendicular to the ground surface. Cross-sections parallel to the flat ends have the shape of the ellipse x2/9 + y2/36 = 1. If the fuel oil in the tank is 9 feet deep, what is the volume of the fuel oil in the tank?

Show the integrals you use to solve this problem. You MAY do a numerical integration, rather than applying the Fundamental Theorem.


Find the antiderivative

Find the antiderivative shown WITHOUT the use of a calculator or computer system that does algebra. Explain your method clearly.




Ask Professor Puzzler

Do you have a question you would like to ask Professor Puzzler? Click here to ask your question!
Over 3,000 Pages of Free Content
We've been providing free educational games and resources since 2002.

Would you consider a donation of any size to help us continue providing great content for students of all ages?

Like us on Facebook to get updates about new resources
Pro Membership