Multiply everything by (

**u**-1)(**u**-3) and then cancel identical terms to clear the fractions: (**u**+7...3) / (**u**-3) (**u**+7)(**u**-3) + (**u**-1)(**u**-3) = (**u**+3)(**u**-1) Multiply everything out:**u**^2 + 4u - 21 +**u**^2 - 4u + 3 =**u**^2 + 2u - 3 Combine terms: 2u^2 - 18...4 Answers · Science & Mathematics · 09/05/2011

So, I presume,

**U**+ V simply means the union of the two sets, whereas**U**...certainly**U**+ V is not it. Why? Think about what**U**and V look like graphically. They are simply all multiples...2 Answers · Science & Mathematics · 19/07/2011

1/

**u**- 1/v = 1/f Multiply throughout by**u**to get 1 -**u**/v =**u**/f Now multiply by v to get v -**u**... with focusing a lens in physics 1/**u**+ 1/v = 1/f. EDIT If the original question ...5 Answers · Science & Mathematics · 24/05/2009

f(

**u**) =**u**^5 + 1;**u**= (x)^1/2 if x = 1 The slope of the line tangent to f(**u**) =**u**^5 + 1, is f (**u**). You can find for the value of**u**, given**u**= (x)^1/2 if x = 1**u**= (1)^1/2**u**= 1 Lets...2 Answers · Science & Mathematics · 07/03/2011

Are

**u**, v variables of ordinary numbers? If so then Iu + vI = 1 mean wither**u**+ v = 1 or**u**+ v = -1 Iu - vI = 5 means either**u**- v = 5 or**u**- v = -5...1 Answers · Science & Mathematics · 16/06/2008

... this case yo

**u**m**u**st show that: 1) Show that A ∩ (A U B) is contained in A 2) Then show that...4 Answers · Science & Mathematics · 28/03/2008

**u**= sqrt(2x + 1)**u**^2 = 2x + 1**u**^2 - 1 = 2x 2u * du = 2 * dx**u*** du = dx (**u**^2 - 1) ***u*****u*** du => (**u**^2 - 1) ***u**^2 * du =>**u**^4 * du -**u**^2 * du Integrate: (1/5) ***u**^5...1 Answers · Science & Mathematics · 04/12/2011

(

**u**>0) csc [ sec ^ -1 (**u**/ 2 ) ] = csc [ cosec^ -1 {**u**/sqrt(**u**^2 - 4)} ] by triangle rule, hypotenuse =**u**,base =2,so,perpend.can be found out by pythagoras theroem). =**u**/sqrt(**u**^2 - 4) . (ans.)1 Answers · Science & Mathematics · 16/09/2011

If

**u**and v are perpendicular , there is no projection of v onto**u**, and reverse too .- So**u**.v= IuI IvI cos T , T=pi/2 , cos pi/2 =0 and**u**.v=0...2 Answers · Science & Mathematics · 14/05/2013

A

**U**(B ∩ C) = (A**U**B) ∩ (A**U**C...**U**C), and (A**U**B) ∩ (A**U**C) ⊂ A**U**(B ∩ C) A**U**(B...2 Answers · Science & Mathematics · 09/10/2008