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Pi |
1997-10-31 |
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Ryan McKinnon pose la question : What Is Pi? Chris Fisher lui répond. |
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Roman Numerals |
1997-10-31 |
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Mark Curts pose la question : I am looking for some resources for teaching Roman Numerals. I would like to expand upon the basic concepts, by locating some addition, subtraction, multiplication or division problems written with Roman Numerals. -- Mark Curts Chris Fisher lui répond. |
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Some Calculus Problems. |
1997-10-30 |
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Roger Hung pose la question :
- What real number exceeds its square by the greatest possible amount?
- The sum of two numbers is k. show that the sum of their squares is at least 1/2 k^2.
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. . Penny Nom lui répond. |
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Two Questions |
1997-10-28 |
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Melissa Kelley pose la question : I would appreciate any help you could give me. - Why isn't 1 a prime number?
- How can the absolute value of a number be negative?
Penny Nom lui répond. |
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Fractions |
1997-10-20 |
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Rebecca Henry pose la question : When we add fractions, we find a common denominator and add the numerators When we multiply fractions, we simply multiply both numerators and denominators with no regard to commonality. - Why do we not have to find a common denominator when multiplying?
- Why do we multiply both numerators and denominators?
Chris Fisher lui répond. |
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Diagramming Powers |
1997-10-15 |
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David Fill pose la question : I am a teacher in Massachusettes. We have been diagramming numbers such as two to the third (a 3-D cube). One of my students asked me how you would diagram two to the fourth. I have searched through all of my teachers books and cannot seem to find the answer to this question. Is there a way to diagram this? If there is, how would you do this? Your help would be greatly appreciated. Penny Nom lui répond. |
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How many intersections? |
1997-10-08 |
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James pose la question : (a) A collection of eight points, no three collinear. If lines are drawn between each pair of these points, how many points of intersection would there be? (b) what would your answer have been in part (a) if there had been n points to start with? Chris Fisher lui répond. |
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Polynomials |
1997-10-07 |
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Sheryl and Jeff pose la question : I'm a math teacher in Jerusalem, Israel. I'm teaching about graphing polynomial functions in a pre-calc class. A student asked me what they're good for. I couldn't give her a good example. Do you have one. Thanks. Penny Nom lui répond. |
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Histograms. |
1997-09-26 |
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David Wilson pose la question : I need some help to teach my daughter the functions and the techniques involved in solving histograms. She is in the 7th grade and is in a prealgebra class. She was give these as homework, however there is no section in her book explaining what a histogram is or how to solve them. Thanks! Penny Nom lui répond. |
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Cos(x) Cos(2x) Cos(4x)=1/8 |
1997-09-24 |
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Tan Wang pose la question : How many distinct acute angles x are there for which cosx cos2x cos4x=1/8? Chris Fisher Harley Weston and Haragauri Gupta lui répond. |
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A Geometry Problem |
1997-09-18 |
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Rebecca Henry pose la question : A circle is centered at the vertex of the right angle of an isosceles triangle. The cirlce passes through both trisection points of the hypotenuse of the triangle. If the length of a radius of the circle is 10, find the area of the triangle. Chris Fisher Harley Weston lui répond. |
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A Trigonometric Limit |
1997-09-18 |
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Brian Ray pose la question : What is the limit, as x approaches 0, or tan^23x/x^2? (read, tan squared 3x over...)? Harley Weston lui répond. |
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Imperial System of Measurement. |
1997-09-17 |
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Judy Pardilla pose la question : Please also give the solution to the answers. Thank you. - If a room is 12 feet by 15, how many square yards are there?
- If a single roll of wallpaper will cover 30 square feet, how many single rolls will it take to cover a wall 8' x 15'?
- If ceramic tiles are 8" x 8", how many tiles would it take to cover an area 4' x 6'?
If possible, can you e-mail me a table for imperial measurements. Thank you! Penny Nom lui répond. |
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Rowing on the Charles River. |
1997-09-17 |
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Fawwaz Muraisi pose la question : On the Charles River in Boston, the Harvard bridge and the Longfellow bridge are 1 mile apart. The MIT crew starts rowing upstream at the Longfellow bridge. As the crew passes under the Harvard bridge, the coxswain's hat falls into the river. Ten minutes later, the coxswain notices and turns the boat around instantaneously. He has t he crew row back to get it, rowing at the same constant rate. By the time the team reaches the hat, they are back at the Longfellow bridge.How fast is the river flowing? Harley Weston lui répond. |
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A Limit Problem |
1997-09-16 |
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Robert Reny pose la question : what is the limit, as x approaches 0, of 3x/2x-[x]? [] means absolute value. Harley Weston lui répond. |
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