- Around the Corner - Louis Holmes
Trig/Calc, difficulty level 4. A girder must be carried along a corridor that has a 90-degree turn at the end. How wide must the corridor be in order for the girder to fit around the corner?
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- Bacterial Growth Rates - Lisa Lavelle
calcpow, difficulty level 1. Compare the growth rates of two bacteria as time approaches infinity.
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- Building a Sandbox - Leigh Nataro
Trig/Calc, difficulty level 3. Find the maximum area for a triangular-shaped sandbox.
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- Building Boxes - Leigh Nataro
Trig/Calc, difficulty level 2. Find the maximum volume of a rectangular prism constructed from an 8.5-inch by 11-inch piece of paper.
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- Costly Cable - Leigh Nataro
Trig/Calc, difficulty level 3. Find where to lay a fiber optic cable in order to minimize the cost.
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- Environmentally Friendly - Leigh Nataro
Trig/Calc, difficulty level 2. What dimensions for a given page will use the least amount of paper?
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- Find the Function - Leigh Nataro
Trig/Calc, difficulty level 3. Find a cubic polynomial that has a given maximum, minimum, and point of inflection.
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- The General Box Company - Leigh Nataro
Trig/Calc, difficulty level 3. A rectangular piece of cardboard is folded up to make a box. Find a general formula for the maximum volume of the box.
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- George's Gutters - Leigh Nataro
Trig/Calc, difficulty level 2. Find the maximum volume of a gutter.
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- The Indoor Driving Range - Leigh Nataro
Trig/Calc, difficulty level 3. Determine the minimum amount of netting needed to make an indoor driving range golf cage.
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- Is It a Midpoint? - Leigh Nataro, Andrea Medini
Trig/Calc, difficulty level 3. Prove that the point of inflection of a cubic function is the midpoint of the segment that connects the function minimum and the function maximum.
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- Job Interview at the Can-Can Company - Leigh Nataro
Trig/Calc, difficulty level 3. Find the smallest amount of tin needed to make a can that can hold 12 cubic inches.
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- Let the Sunshine In - Leigh Nataro
Trig/Calc, difficulty level 2. Find the dimensions of a window designed to let in the maximum amount of sunshine.
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- Making Money at the Movies - Leigh Nataro
Trig/Calc, difficulty level 3. How much should the manager of a theater raise his prices in order to maximize his profit?
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- My Snow-Shoveling Business - Leigh Nataro
Trig/Calc, difficulty level 2. Determine the number of customers needed to maximize the revenue for a snow-shoveling business.
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- Nice Shot, Robin Hood! - Sara Aucoin, Marcie Sawyer, Pattie Draper
Trig/Calc, difficulty level 2. Answer some questions about the flight of Robin Hood's arrow.
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- Pete's Predictions - Leigh Nataro
Trig/Calc, difficulty level 2. Verify the formula for finding the maximum height of a ball thrown upward.
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- Product Max - Leigh Nataro
Trig/Calc, difficulty level 2. Find the maximum value for two numbers whose sum is a.
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- Rolle's Theorem Rediscovered - John Feminella
Trig/Calc, difficulty level 3. Prove the Mean Value theorem.
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- Shipping Packages - Leigh Nataro
Trig/Calc, difficulty level 2. Find the maximum volume of a box based on the given information.
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- The Super-Ultra-Mega-Big Cup - Alvirne High School Calculus Class
Trig/Calc, difficulty level 3. What is the minimum cost to make a cup based on given information?
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- The Triangle Inside an Angle - Ramani Jv
Trig/Calc, difficulty level 5. Based on the given information, find the area of the smallest triangle contained within an angle.
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- The Unit Circle Triangle - Leigh Nataro
Trig/Calc, difficulty level 2. Find the area of the largest right triangle in the first quadrant of the unit circle.
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- Valentine Candy - Ethel Breuche
Algebra, difficulty level 2. A vendor who sells Valentine candy boxes wants to raise the price. For every twenty-five-cent increase he loses two customers. At what price should he sell the boxes to achieve the maximum profit?
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- Your Interview Question Is... - Leigh Nataro
Trig/Calc, difficulty level 3. If you want to minimize the surface area of a can with a fixed volume, what should be the ratio of the height to the radius?
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- Your Speeding Ticket - Leigh & Chip Nataro
Trig/Calc, difficulty level 2. Work with powers of ten and the metric system to determine your fine.
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