 Add It Up  Leigh Nataro
Trig/Calc, difficulty level 2. Find the sum for an infinite series.
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 Around the Corner  Louis Holmes
Trig/Calc, difficulty level 4. A girder must be carried along a corridor that has a 90degree turn at the end. How wide must the corridor be in order for the girder to fit around the corner?
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 Be My Valentine  Leigh Nataro
Trig/Calc, difficulty level 4. Find the areas of two heartshaped valentines.
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 Building a Sandbox  Leigh Nataro
Trig/Calc, difficulty level 3. Find the maximum area for a triangularshaped 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 8.5inch by 11inch piece of paper.
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 Cooling Colas  Leigh Nataro
Trig/Calc, difficulty level 3. Use Newton's Law of cooling to determine when the colas will freeze.
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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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 Cup Capacity  Leigh Nataro
Trig/Calc, difficulty level 3. Find the volume of a cup based on its dimensions.
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 Cutting the Cookie  Leigh Nataro
Trig/Calc, difficulty level 2. Where should you cut a circular cookie so its area is in a ratio of 1:2 ?
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 Doughnut Dilemma  Leigh Nataro
Trig/Calc, difficulty level 2. Which doughnut shop makes a doughnut with a greater volume?
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 An Eggstra Special Problem  Leigh Nataro
Trig/Calc, difficulty level 2. Find the area of a crosssection of an egg given some dimensions of the crosssection.
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 Ellipse Areas  Leigh Nataro
Trig/Calc, difficulty level 3. Use calculus to show that the area of an ellipse is pi*a*b.
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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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 Five Golden Rings  Leigh Nataro
Trig/Calc, difficulty level 5. Based on the given information, find the volume of five golden rings.
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 Football Volume  Leigh Nataro
Trig/Calc, difficulty level 3. Given the dimensions of a football, find its volume.
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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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 Googol the Giant's Gargantuan Goblet  Leigh Nataro
Trig/Calc, difficulty level 2. Find the volume of Googol the Giant's elliptical paraboloid goblet.
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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 CanCan 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 Hot Chocolate is Too Hot!  Leigh Nataro
Trig/Calc, difficulty level 3. Use Newton's Law of Cooling to determine how long it will take for your hot chocolate to cool.
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 My SnowShoveling Business  Leigh Nataro
Trig/Calc, difficulty level 2. Determine the number of customers needed to maximize the revenue for a snowshoveling business.
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 Needles and Lines  Leigh Nataro
Trig/Calc, difficulty level 5. Use trigonometry and calculus to find the probability of a needle touching a line.
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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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 One Area  Many Solutions  Leigh Nataro
Trig/Calc, difficulty level 2. Find the area of a triangle given the coordinates of its vertices.
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 The Oval Braided Rug  Leigh Nataro
Trig/Calc, difficulty level 2. Find the area of a shaded portion of an ellipse.
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 Painting the Sine Curve  Leigh Nataro
Trig/Calc, difficulty level 4. Find the length of the sine curve that would fill a 6ft by 100ft rectangle.
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 A Parabola Proof  Leigh Nataro
Trig/Calc, difficulty level 3. Prove that the area of a parabola is 2/3 the product of its width and height.
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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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 A Picture Is Worth A Thousand Words  Leigh Nataro
Trig/Calc, difficulty level 4. Find the ratio of the area of the overlapping region to the area of nonoverlapping regions of two circles.
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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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 A Sequence of Logs  Leigh Nataro
Trig/Calc, difficulty level 2. If you have a geometric sequence and take its log, what type of sequence is formed?
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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 Square and the Line  Leigh Nataro
Trig/Calc, difficulty level 1. Find the equation of the line that will split a unit square into two pieces that have equal areas.
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 Squares Inside Squares  Leigh Nataro
Trig/Calc, difficulty level 3. Find the sum of the perimeters of three nesting squares. Imagine that the process of nesting squares continues forever. The sum of the perimeters approaches a finite number. What is that number?
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 The SuperUltraMegaBig 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 Suspension Bridge  Leigh Nataro
Trig/Calc, difficulty level 4. Determine the length of a parabolashaped cable on a suspension bridge.
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 That's A Lot of Rock!  Leigh Nataro
Trig/Calc, difficulty level 3. Find the volume of a tunnel through a mountain.
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 Time to Make the Doughnuts  David Turner
Trig/Calc, difficulty level 4. Find the radius of a doughnut with center at (0, 10) and a volume of 3158 cubic centimeters.
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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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 Vehicle Value  Leigh Nataro
Trig/Calc, difficulty level 2. Find the future value of a car based on its current price and initial selling price.
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 Where Did It Come From?  Leigh Nataro
Trig/Calc, difficulty level 3. Find the three fractions that produce a given sum. What is a unit fraction?
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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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