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  1. ... = {a_n: n ≥ 1} U {a}. Suppose x ∈ R ^k \ X. Then x ≠ a and x ≠ a_n for...gt; 2d - d = d > 0, y ≠ a. Therefore y ∈ R ^k \ X. This shows that the open...

    2 Answers · Science & Mathematics · 28/11/2013

  2. We need to check that: (1) ∅, ℜ are open; (2) T is closed under... open. Otherwise, U(B_i) = ℜ is open. [[you should check these last two claims...

    1 Answers · Science & Mathematics · 06/02/2013

  3. ...it has no positive Real roots. When you replace " r " with "- r ", you get, f(- r ) = - r ^5 + 1 and this has one change of...

    3 Answers · Science & Mathematics · 20/02/2014

  4. ∫ ∫ r xy^3 dA r : y=x, y=3x, xy=1, xy=4 r is the region enclosed by the lines and the hyperbolas...

    1 Answers · Science & Mathematics · 29/07/2010

  5. Hi impressed voltage = 0 ... Cq + R dq/dt = e(t) q(0) = 0.15 e(t) = 0 Then Cq + R dq...

    1 Answers · Science & Mathematics · 23/09/2010

  6. S= pi* r * ( r ^2+h^2)^(1/2) a) If neither h nor r is a constant, then both dr...and dh/dt will determine how fast the surface area changes. dS/dt = pi* r [ (1/2)( r ^2+h^2)^-1/2 * (2r* dr/dt + 2h*dh/dt) ]+ pi*( r ^2+ h^2)^(1/2)* dr/dt...

    1 Answers · Science & Mathematics · 25/03/2013

  7. ... that the "subset of" in the definition of R includes improper subsets, the reflexiveness of... consider whether (Q,P) can be in R . If so, Qk would have to be a subset of some...

    1 Answers · Science & Mathematics · 09/08/2010

  8. ...^(n₁) + a₂^(n₂) + ......+ a_ r ^(n_ r ) where n₁ + n₂ + ....+ n_ r = n.....(1...the context of using the formula "n CHOOSE r ". There is no contradiction here, since we...

    2 Answers · Science & Mathematics · 17/01/2015

  9. nPr = n! / (n - r )! 3Pr = 3! / (3 - r )! 3! / (3 - r )! = 3! 3! = 3! * (3 - r )! 1 = (3 - r )! n! = 1 when n = 1 or when n = 0. For the sake of ease, let's just say 3 - r = 1 3 - r = 1 3 - 1 = r 2 = r Pretty much do the same thing for the next...

    1 Answers · Science & Mathematics · 31/05/2015

  10. 3/4( r -1) = 6 Multiply both sides by 4, to get rid of the fraction (4)3/4( r - 1) = (4)6 3( r - 1) = 24 Use the distributive property to get rid of the ...

    3 Answers · Science & Mathematics · 23/02/2010

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