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1. ### Power Series. Calc 2 help! Best answer awarded asap :) Thank you!?

2x/(9 + x) = 2x/(9 * (1 + x/9)) = (2x/9) * 1/(1 - (-x/9)) = (2x/9) Σ(n = 0 to ∞) (-x/9)^n, via geometric series = Σ(n = 0 to ∞) 2 * (-x/9)^(n+1) = 0 - (2/9)x + (2/ 81 )x^2 - (2/729)x^3 + (2/9^4)x^4 - (2/9^5)x^5 + ... I hope this helps!

2 Answers · Science & Mathematics · 11/11/2014

2. ### missing critical points with some equations?(most/all work done)?

... = 0, 2c - 3 = 0 c = 0 and c = 3/2 f(x) = x⁴ - 2x³ f(c) = c⁴ - 2c³ f(0) = 0 and f(3) = 81 /16 - 108/16 = -27/2 (0,0) and (3,27) ----------------------- ==> inflection points...

1 Answers · Science & Mathematics · 16/12/2013

3. ### Use the binomial series to expand the function f(x)=1(3+x)3 as a power series.?

...3*-4*-5)/3!) (x/3)^3 + ((-3*-4*-5*-6)/4!) (x/3)^4 + ...] ......= 1/27 - (1/27)x + (2/ 81 ) x^2 - (10/729) x^3 + (5/729) x^4 + ... I hope this helps!

1 Answers · Science & Mathematics · 12/11/2013

4. ### Use the binomial series to expand the function f(x)=(1+x)^(1/3 )as a power series.?

...8/3)/4! x^4... C0 = 1 C1 = 1/3 C2 = -1/9 C3 = 5/ 81 C4 = -10/243

1 Answers · Science & Mathematics · 02/03/2014

5. ### Differential equation-Factoring?

Factor as (r^4 - 81 ) = (r^2 + 9)(r^2 - 9) = (r^2 + 9)(r + 3)(r - 3). For the (r^2 + 9) term, the roots are complex. Namely, the roots are +/- 3i.

1 Answers · Science & Mathematics · 10/07/2013

6. ### Factoring Difference of Squares help? 5 problems.?

... - 9²) =2p (p + 9) (p - 9) 2)u⁴ - 81 =u⁴ - 3⁴ =(u²)² - (3²...) (2r² - 3n²) 5)256n⁴ - c⁴ =(16n²)² - (c²)² =(16n²...

4 Answers · Science & Mathematics · 07/04/2013

7. ### Order of operations need help?

1. 1/15 2. 81 3. B⁹ 4. b²/ c⁴ 5. x+17 6. √ x² 7. ½√x 8. 94(2x) 9. x⁶ 10. 6...

5 Answers · Science & Mathematics · 02/03/2013

8. ### GEOMETRY HELP??? BEGGING?

http://nanharbison.com/sats/math_images/45-45-90.gif <------Here are the properties of a 45-45-90 Triangle. You can answer every question using that.

2 Answers · Science & Mathematics · 16/07/2012

9. ### Can someone help me to prove this therem of Archimedes?

... published by Angelo Genocchi in 1864, 1874 and 1876.[ 81 ] Alternative proofs were developed by ...

1 Answers · Science & Mathematics · 04/12/2011

10. ### Suppose that 2 x/(3 + x) = sum of the series from n=0 to infinity of c_n x^n?

(2 x)/3 - (2 x^2)/9 + (2 x^3)/27 - (2 x^4)/ 81 + (2 x^5)/243 - (2 x^6)/729

1 Answers · Science & Mathematics · 05/08/2011