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l'Hospital's rule |
2007-10-28 |
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From SWAPNA: Evaluate the following limit using L'Hospitals Rule
lim (sin x/x) ^ 1/(x^2)
x-->0 Answered by Harley Weston. |
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A circle is inscribed in a square |
2007-10-28 |
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From Carolyn: A circle is inscribed in a square. What percentage of the are of the square is inside the circle. Answered by Victoria West. |
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An equalateral triangle is 30 acres |
2007-10-28 |
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From mike: If the area of an equilateral triangle is 30 acres, what is the length of each side in feet or miles? Answered by Penny Nom and Victoria West. |
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Complex numbers |
2007-10-27 |
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From Dylan: My problem is to prove:
|z|^2 = zz* Where z is the complex number x + iy and z* is it's complex conjugate x - iy.
If the absolute value of i is 1, then it looks like: |z|^2 = |x+y| |x+y| = x^2 + 2xy + y^2
And zz* = x^2 + y^2. for these to be equal, 2xy = 0. This seems wrong to me. What am I doing wrong? Answered by Penny Nom. |
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The realtionship between lcm and gcd |
2007-10-27 |
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From Brenda: why does multiplying lcm of (n,s) by gcd (n,s) give n times s. when (n,s) are any two numbers? Answered by Penny Nom. |
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How to solve related rates problems |
2007-10-27 |
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From David: Can you plz explain how and where you come up with an equation to solve this?
Find the rate of change of the distance between the origin and a moving point on the graph of y = sin x if dx/dt = 2 centimeters per second. Answered by Stephen La Rocque. |
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Place value |
2007-10-27 |
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From eric: True or False:
In the number 378, there are 3 hundreds, 7 tens, and 8 ones. Answered by Penny Nom. |
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a/5= b/7= 8/3 |
2007-10-27 |
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From Kristine: how do you solve for a and b in this equation:
a/5= b/7= 8/3 Answered by Penny Nom. |
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Converting millimeteres to inches |
2007-10-27 |
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From Alison: I am hoping to buy a cabinet, the measurements are 1120mm x 560mm, what is that in feet & inches. Answered by Penny Nom. |
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Is there a practical use for radian measure? |
2007-10-26 |
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From Paula: Is there a practical use for radian measure in any profession? Which professions might us radian as opposed to degree measure? Answered by Harley Weston. |
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What is the rent? |
2007-10-26 |
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From Mark: Rent was $1.00 per cubic yard. Dimensions were 36 feet by 200 feet by 12 feet high. What is the rent Answered by Penny Nom. |
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The largest number you can add ... |
2007-10-26 |
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From Dryden: What is meant by asking what is the greatest number you can add to that number without having to regroup in any place? Answered by Penny Nom. |
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collinear points |
2007-10-26 |
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From Carl: the points H,S,D,K,L, and B are collinear.
KS+SB=KB
DH+HS=DS
DH+HK=DK
point L and B are not between any other labeled points on the line.
<-------------------------------------------------------------------------> Answered by Penny Nom. |
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I need to rebuild a wagon wheel |
2007-10-26 |
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From Pat: I need to rebuild a wagon wheel, the metal wheel rim is 41" diameter, inside the rim is a one and a half inch by one and a half inch wood wheel.
I thought I would glue up a hexagon from a 2x6 or 2x8 piece of wood and then draw and cut out the 41" diameter wood circle.
? what would work better the 2x6 or the 2x8 and what is the lenghth of the cuts needed in order to give me the 41' diameter I need. Answered by Harley Weston. |
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Area of a triangle formed by three points on a graph |
2007-10-26 |
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From Betty: My question is 'find the are of a triangle whose vertices have
coordinates (3,5),(6,-5), and (-4,10) Answered by Stephen La Rocque. |
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