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  Subcategories   (see also All Sites in this category)
 
  All Sites - 50 items found, showing 1 to 50

  1. Add It Up - Leigh Nataro
    Trig/Calc, difficulty level 2. Find the sum for an infinite series. ...more>>

  2. 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? ...more>>

  3. Be My Valentine - Leigh Nataro
    Trig/Calc, difficulty level 4. Find the areas of two heart-shaped valentines. ...more>>

  4. Building a Sandbox - Leigh Nataro
    Trig/Calc, difficulty level 3. Find the maximum area for a triangular-shaped sandbox. ...more>>

  5. 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. ...more>>

  6. Cooling Colas - Leigh Nataro
    Trig/Calc, difficulty level 3. Use Newton's Law of cooling to determine when the colas will freeze. ...more>>

  7. Costly Cable - Leigh Nataro
    Trig/Calc, difficulty level 3. Find where to lay a fiber optic cable in order to minimize the cost. ...more>>

  8. Cup Capacity - Leigh Nataro
    Trig/Calc, difficulty level 3. Find the volume of a cup based on its dimensions. ...more>>

  9. 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 ? ...more>>

  10. Doughnut Dilemma - Leigh Nataro
    Trig/Calc, difficulty level 2. Which doughnut shop makes a doughnut with a greater volume? ...more>>

  11. 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. ...more>>

  12. Ellipse Areas - Leigh Nataro
    Trig/Calc, difficulty level 3. Use calculus to show that the area of an ellipse is pi*a*b. ...more>>

  13. Environmentally Friendly - Leigh Nataro
    Trig/Calc, difficulty level 2. What dimensions for a given page will use the least amount of paper? ...more>>

  14. Find the Function - Leigh Nataro
    Trig/Calc, difficulty level 3. Find a cubic polynomial that has a given maximum, minimum, and point of inflection. ...more>>

  15. Five Golden Rings - Leigh Nataro
    Trig/Calc, difficulty level 5. Based on the given information, find the volume of five golden rings. ...more>>

  16. Football Volume - Leigh Nataro
    Trig/Calc, difficulty level 3. Given the dimensions of a football, find its volume. ...more>>

  17. 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. ...more>>

  18. George's Gutters - Leigh Nataro
    Trig/Calc, difficulty level 2. Find the maximum volume of a gutter. ...more>>

  19. Googol the Giant's Gargantuan Goblet - Leigh Nataro
    Trig/Calc, difficulty level 2. Find the volume of Googol the Giant's elliptical paraboloid goblet. ...more>>

  20. 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. ...more>>

  21. 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. ...more>>

  22. 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. ...more>>

  23. 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. ...more>>

  24. 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? ...more>>

  25. 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. ...more>>

  26. 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. ...more>>

  27. Needles and Lines - Leigh Nataro
    Trig/Calc, difficulty level 5. Use trigonometry and calculus to find the probability of a needle touching a line. ...more>>

  28. 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. ...more>>

  29. One Area - Many Solutions - Leigh Nataro
    Trig/Calc, difficulty level 2. Find the area of a triangle given the coordinates of its vertices. ...more>>

  30. The Oval Braided Rug - Leigh Nataro
    Trig/Calc, difficulty level 2. Find the area of a shaded portion of an ellipse. ...more>>

  31. 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. ...more>>

  32. 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. ...more>>

  33. Pete's Predictions - Leigh Nataro
    Trig/Calc, difficulty level 2. Verify the formula for finding the maximum height of a ball thrown upward. ...more>>

  34. 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. ...more>>

  35. Product Max - Leigh Nataro
    Trig/Calc, difficulty level 2. Find the maximum value for two numbers whose sum is a. ...more>>

  36. Rolle's Theorem Rediscovered - John Feminella
    Trig/Calc, difficulty level 3. Prove the Mean Value theorem. ...more>>

  37. 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? ...more>>

  38. Shipping Packages - Leigh Nataro
    Trig/Calc, difficulty level 2. Find the maximum volume of a box based on the given information. ...more>>

  39. 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. ...more>>

  40. 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? ...more>>

  41. 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? ...more>>

  42. The Suspension Bridge - Leigh Nataro
    Trig/Calc, difficulty level 4. Determine the length of a parabola-shaped cable on a suspension bridge. ...more>>

  43. That's A Lot of Rock! - Leigh Nataro
    Trig/Calc, difficulty level 3. Find the volume of a tunnel through a mountain. ...more>>

  44. 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. ...more>>

  45. 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. ...more>>

  46. 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. ...more>>

  47. 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. ...more>>

  48. 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? ...more>>

  49. 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? ...more>>

  50. Your Speeding Ticket - Leigh & Chip Nataro
    Trig/Calc, difficulty level 2. Work with powers of ten and the metric system to determine your fine. ...more>>


 
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