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1. ### How to prove [1+5+9+13+...+(4n1)] = (n+1)(2n+1) by induction?

...3n +4n +6 - ( 2n^2 +n +2n +1) = 4n +5 Yes !! We get LHS = RHS in an easily recognisable form !! This holds...

3 Answers · Science & Mathematics · 27/05/2010

2. ### conservation of mass finding time?

... the tank contains 900 kg of water, the z = 0.9 m, so the LHS of EQUATION S is 3/7 of 1 second, 3/7 = 5/7 - 0...

2 Answers · Science & Mathematics · 14/03/2012

3. ### systems of Nonlinear Equations Help..... points?

...0 similarly gives B = 2 Because the coefficient of x on the LHS is zero, A + B = 0, and hence A = -2 Hence the...

3 Answers · Science & Mathematics · 19/07/2012

4. ### calculus area between the curves?

...(x_1,x_2)P(x)dx - Int(x_1,x_2)H(x)dx ?= 25 LHS = 25 ==> CHECKED

1 Answers · Science & Mathematics · 23/07/2011

5. ### dx + dy + dz = D/Dx (dx) + D/Dy(dy) + D/Dz (dz)?

the right side of the equation looks weird.....okay is looks meaningless. I don't think You can take the partial derivative of an infinitesimal

1 Answers · Science & Mathematics · 01/05/2012

6. ### coolean algebra. so confused!?

Your answer for the first qquestion is correct. For second question follow the two DeMorgan laws: (A+A)' = A'.A' (A.A)' = A'+A'

2 Answers · Science & Mathematics · 19/05/2007

Your first answer is correct -- quite a few steps though you cold say XX'+YY+XY+X'Y ≟ Y 0 + Y + (X + X')Y ≟ Y and since (X + X') =1 0 + Y + Y ≟ Y...

1 Answers · Science & Mathematics · 19/05/2007

8. ### Mathematics Differential equations help please!?

(11-2x)/((x+3)(x+1)) dx = dt. Take a integration!!!

2 Answers · Science & Mathematics · 21/01/2012

9. ### Is there a rule for surge waves in rapidly varied flow, in fluid mechanics.?

Hint: http://nptel.iitm.ac.in/courses/IIT-MADRAS/Hydraulics/pdfs/Unit38/38_1.pdf http://www.scribd.com/doc/6554968/7708DC10620677#fullscreen:on Remember that up-stream and down-stream velocity are different.

1 Answers · Science & Mathematics · 10/05/2010

10. ### Please solve by induction? I got close but ended up with an unbalanced term =(?

To show it to be true for n = k + 1, you have the left hand side equal to 1^2 + 2^2 + ... + k^2 + (k+1)^2 Subbing your assumption for it being true for n = k gives k(k+1)(2k+1)/6 + (k+1)^2 Then the algebra goes as follows: = [k(k+1)(2k+1)/6] + k² + 2k + 1...

1 Answers · Science & Mathematics · 07/11/2011