Science & Mathematics - 1 November 2006

My first question is if I were to multiply a power series expansion of a known function by another known function (of which I don't know the power series expansion), is it acceptable to multiply every term in the power series by this function (because it's like a polynomial)?

Perhaps stated a bit better, if I have a function: f(x) = sum[(a_n)(x^n)] and I want to multiply it by say, x^2, can I do this: (x^2)f(x) = (x^2)sum[(a_n)(x^n)]
(x^2)f(x) = sum[(x^2)(a_n)(x^n)]
(x^2)f(x) = sum[(a_n)(x^[n+2])]

And my second question is if I have a power series with a negative exponent, say sum[x^(-2)], can I even consider it a power series? I ask this because I've looked and looked and only found examples of power series that have x^n or x^2n. And if that is a power series, how could I begin to find the radius of convergence?

Any help will be appreciated.

Note: sum[] of course means summation notation from n = 0 to infinity.

2006-11-01 15:44:42 · 2 answers · asked by CubicMoo 2 in Mathematics

winter stinks!

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If so, which medicines should I stay away from?

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Reflect the triangle about the line y=4; give coordinates of image
A= ( ) B= ( ) C= ( )

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Is it correctly derived from Einstein's field equation?

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I'm having trouble finding good sites with this information. Any help is appreciated.

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Three vectors that are neither parallel nor antiparallel can be arranged to form a triangle if they sum to (0, 0). (a) What vector forms a triangle with (0, 3) and (3, 0)? (b) If you multiply all three vectors by the scalar 2, do they still form a triangle? (c) What if you multiply them by the scalar a?

2006-11-01 15:29:02 · 2 answers · asked by venom90011@sbcglobal.net 1 in Physics

Al and Bob decided to have a Skeeball contest. The ball can score 10,20,30,40,or50 pts.
1. Al scored as many 30's as Bob did 20's.
2. Bob scored one more 40 than he did 20's.
3. Al scored the same number of 50's as he did 30's.
4. Bob scored twice as many 30's as he did 20's.
5. Al scored one less than twice as many 20's as Bob did.
6. Bob scored two more 40's than Al did 10's.
7. Al scored the same number of 40's as he did 10's.

1. What was the final score (each)?.....
2. How many balls were rolled?

Please Explain....

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C.the accelerlation value is zeroat the peak of the projectile's trajectory.
D the acceleration is increasing as the projectile falls downward from its peak.
E.the acceleration is decreasing as the projectile rises upward towards its peak.
F.the accelreation is a constant value.
G.the accleration value is dependant upon the mass of the projectile.
H. none of these

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d.) 600 cps

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