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1. ### solve (u+6)^2 -64 = 0?

(u+6)² - 64 = 0 (u + 6)² = 64 (u + 6) = ± 8 u = 2, -14 Answer: u = 2 or u = -14

4 Answers · Science & Mathematics · 07/05/2011

2. ### use the dot product to find |u|?

| u | = sqrt(3^2 + (-4)^2) | u | = sqrt(9+16) |u| = sqrt(25) |u| = 5

2 Answers · Science & Mathematics · 07/12/2008

3. ### w = sinx + icosx and u = cscx + isecx ..?

|w| = sqrt( sin ^2 x + cos^2 x) = 1 |u]^2 = csc^2 x + sec^2 x = (1/ sin ^2 x) + (1/ cos^2 x) = ( cos^2 x + sin ^2 x)/ ( sin ^2 x cos ^2 x) = 1/ ( sin ^2 x cos^2 x) so |u| = 1/ ( sin x cos x) so |w/u] = |w|/|u| = sin x cos x

5 Answers · Science & Mathematics · 08/01/2012

4. ### Integration using substitution u = sec x?

Let u = sec(x) dx <==> du = sec(x)tan(x) dx. The integral ... now yields: ∫ sec^2(x) * [sec^2(x) - 1] [sec(x)tan(x) dx] = ∫ u^2*(u^2 - 1) du = ∫ (u^4 - u^2) du = (1/5)u^5 - (1/3)u^3 + C. ...

3 Answers · Science & Mathematics · 13/06/2010

5. ### U Substitution - Calculus One?

I'd integrate by parts ln(x)^2 * dx u = ln(x)^2 du = 2 * ln(x) * dx / x dv = dx v = x int(u * dv) = u * v - int(v * du...

2 Answers · Science & Mathematics · 09/05/2013

6. ### 10 points U substitution question?

u = sqrt(2x - 1) u^2 = 2x - 1 u^2 + 1 = 2x 2u * du = 2 * dx u * du = dx x * dx / sqrt(2x - 1) => (1/2) * (u^2 + 1) * u * du / u => (1/2) * (u^2 + 1) * du Integrate (1/2...

1 Answers · Science & Mathematics · 22/11/2015

7. ### Solve for U in this equation?

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

8. ### Let u = (1 1) and v = (1 2) and define U = span{u} and V = span{v}.?

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

9. ### Make u the subject of 1/u - 1/v = 1/f?

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

10. ### find u.v given |u+v|=1 and |u-v|=5?

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