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f(x+y) = f(x) + f(y) + 2xy |
2007-11-01 |
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Marcia pose la question : For all real numbers x and y, let f be a function such that f(x+y) = f(x) + f(y) + 2xy and such that the limit as h -> 0 of f(h) / h = 7, find: f(0), use the definition of the derivative to find f'(x), and find f(x). Penny Nom lui répond. |
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A decimal to a fraction |
2007-11-01 |
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Lisa pose la question : i am trying to turn a decimal into a fraction. my example is to turn 10.5 into a fraction at its lowest form Penny Nom lui répond. |
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The volume of a pyramid |
2007-10-31 |
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San pose la question : the volume V of a square-based pyramid with base sides s and height h is V=1/3s2h if the height is half of the length of a base side, express the volume V as a function of s Penny Nom lui répond. |
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A number puzzle |
2007-10-31 |
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matthew pose la question : please help.make 200.take 4 numbers from the numbers 1-9,place the numbers
into a square containing 4 equal squares 1 number to each square.example
13
57 you now have 4 sets of numbers 13 ,57 ,reading across and 15 , 37. reading down
i have to find 2 or more ways of making i have to find the numbers that when added together
using this method make 200.you can only use each number once. Penny Nom lui répond. |
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I am a prime number |
2007-10-31 |
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sherry pose la question : I am a prime number. I can not be shared fairly except by one group. My array can only be one row.
array can only be one row. Can you please explain this out to me so I can help my child with it.
Thanks Penny Nom lui répond. |
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A faulty induction argument |
2007-10-31 |
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snehal pose la question : Find the problem in the following argument. Try to give another example
that illustrates the same problem.
Claim: All Fibonacci numbers are even.
Proof: We will use strong induction. Let P(n) be the proposition that Fn is
even.
Base case: F0 = 0 is even, so P(0) is true.
Inductive step: Assume P(0); : : : ; P(n - 1) to prove P(n): Now
Fn = Fn-1 + Fn-2
and Fn-1 and Fn-2 are both even by assumptions P(n - 1) and P(n - 2); so
Fn is also even. By induction, all Fibonacci numbers are even. Stephen La Rocque and Claude Tardif lui répond. |
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A t-shirt is on sell at 33 1/3% off |
2007-10-31 |
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kbennett pose la question : A t-shirt is on sell at 33 1/3% off. Joey paid $12 for his shirt. What was the original price? Penny Nom lui répond. |
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A wiffleball field |
2007-10-31 |
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Svitlana pose la question : The Adam's family has set up a wiffleball field in their backyard. The bases are arranged like a typical baseball diamond, where the distance between consecutive bases is the same. First base is opposite of third base, and second base is opposite of home plate. The distance between consecutive bases is 50 feet. Now, the pitcher stands 25 feet from home plate and lies on the line between home plate and second base. How far is the pitcher from first base? Round your answer down to the nearest inch. Penny Nom lui répond. |
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The base and height of a triangle triangle |
2007-10-31 |
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mike pose la question : How do you find the length of the base or the height of a triangle if the area is 30 square feet? Penny Nom lui répond. |
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Write each frequency as a decimal |
2007-10-31 |
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Jazzy pose la question : Twins are born once in every 89 births.
Identical twins are born 4 times in every 1000.
Triples are born once in every 6900 births.
write esch frequency as a decimal and order the
decimals from least to greatest frequency. Penny Nom lui répond. |
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A circular table is pushed into the corner |
2007-10-31 |
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Will pose la question : A circular table is pushed into the corner of a square room so that one point is 8 inches from one wall and 9 inches from the other. What is the radius of the table? Penny Nom lui répond. |
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An array for 31 |
2007-10-31 |
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sherry pose la question : How do you make an array with the number 31 Penny Nom lui répond. |
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Density |
2007-10-30 |
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Ali pose la question : Would an object sink or float in pure water if it has a mass of 10g and a volume of 5 cubic centimeters?
314 Stephen La Rocque lui répond. |
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Subsets of a set |
2007-10-30 |
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Snehal pose la question : 1. Let an denote the number of subsets of f{1,2, 3.... n}including the
empty set and the set itself.)
a) Show an = 2an-1
b) Guess a formula for the value of an and use induction to prove you are
right Stephen La Rocque lui répond. |
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Measurements on a test tube |
2007-10-30 |
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Bruce pose la question : I figure that the surface area (SA) of a round bottom test tube
can be determined by the equation SA = 2pi*h*r
where r is the radius of the hemispheric bottom & column part, and
h is the height (h) at any point upwards from the bottommost portion
in the center of the tube.
I haven't been able to come up with an equation yet for the circumference
of such a test tube at any point upwards along the tube based
on the height in its center or on the distance along the outside
of the tube. Harley Weston lui répond. |
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