- Be My Valentine - Leigh Nataro
Trig/Calc, difficulty level 4. Find the areas of two heart-shaped valentines.
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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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- 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 cross-section of an egg given some dimensions of the cross-section.
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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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- 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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- 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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- 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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- 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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- 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 6-ft by 100-ft 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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- 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 non-overlapping 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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- 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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- The Suspension Bridge - Leigh Nataro
Trig/Calc, difficulty level 4. Determine the length of a parabola-shaped 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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