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1. ### Show that ∑(n+ r -1)(n+ r ) = (1/3n)(7n^2 – 1)?

∑ _{ r =1, n} 1= n ∑ _{ r =1, n} r = (n+1)·n/2 ∑ _{ r =1, n} r²= n·(n+1)·(2n+1)/6 ==>...2nr +r² -n - r ) = (n²-n)·∑ _{ r =1, n} 1 + (2n-1)· ∑ _{ r =1, n} r + ∑ _{ r =1, n} r² = (n²-n)·n + (2n-1)·(n...

1 Answers · Science & Mathematics · 26/07/2009

2. ### Find x Value for R -C?

R =4x^2+8x C=x^2+2x R -C= 3x^2+6x ( R -C)'= 6x+6 ( R -C)"= 6 Now ( R -C...

2 Answers · Science & Mathematics · 13/09/2013

3. ### Prove that if a vector valued function r (t) has a constant length then r (t) and r0(t) are orthogonal.?

| r (t)| = constant implies that 1. r (t) either doesn't change with t, r '(t)=0 or 2. its...would change also by the triangle inequality. In either case since 1. r '(t)=0 or 2. r (t) dot r '(t) = r (t) r '(t)cos(90) = 0...

1 Answers · Science & Mathematics · 17/04/2015

4. ### solve for r ...10 easy points!!!!?

r ^2+3r-2 = 0 Factorize the equation. then ( r +1)( r -3) = 0 Therefore, r = -1 & 3

3 Answers · Science & Mathematics · 14/10/2008

5. ### 0.2 + r = 0.2r − 0.06 + 0.3r?

0.2 + r = 0.2r − 0.06 + 0.3r Fist, let's simplify the right side side: r + 0.2 = 0.5r − 0.06 Next, isolate r and simplify. ( r + 0.2) - 0.5r - 0.2...

12 Answers · Science & Mathematics · 16/10/2007

6. ### r =sin4theta with rectangular coordinates?

... consists of: r = radius measure(magnitude) theta = angle measure(... ( a , ib) is now ( r *cos(theta) , r *sin(theta) Finally: your answer...

2 Answers · Science & Mathematics · 31/05/2008

7. ### v=kQ/ r ????????????????????

description of r : look at the figure where potential is required at point P ...)----------------------. (P) .... <----------- r ---------> r & Q are given k = 8.987 X 10^9 N...

3 Answers · Science & Mathematics · 01/02/2011

8. ### Math formulas solve for r ?

I = (2V/ R ) + 2r I - (2V/ R ) = 2r r = (1/2) * [I - (2V/ R ... - IR r = (2V - IR) / 2I r = (V/I) - ( R /2)

3 Answers · Science & Mathematics · 16/01/2014

9. ### solve for R C=K(Rr/ R - r )?

C=K(Rr/ R - r ) Divide both sides by K: C/K = (Rr... = Cr/K Extract R : R (C/K - r ) = Cr/K Divide both sides by (C/K - r ...

4 Answers · Education & Reference · 05/10/2009

10. ### If R is isomomorphic to R ' then is it necessarily true that R /Kern( R ) is isomomorphic to R '?

If f is a *surjective* homomorphism from R to R ' then R /ker(f) and R '...ker(f) to f(x) is an isomorphism--- so, in particular, R /ker(f) is isomorphic to f( R ). But...

1 Answers · Science & Mathematics · 24/07/2011

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