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  1. u = 8i + 7j → tan(u) = 7/8 v = 7i - j → tan(v) = - 1/7 tan(a - b) = sin(a - b) / cos(a - b...tan(b)] / [1 + tan(a).tan(b)] → adapt this result to your case tan(u - v) = [tan(u) - tan(v)] / [1 + tan(u).tan(v)] tan(u - v) = [(7/8) - (- 1/7...

    2 Answers · Science & Mathematics · 29/04/2019

  2. a) u-3v multiplying vextors by a scalar number such as 3 simply... vectors is <x1±x2,y1±y2>. u-3v=<3-(-6),1-18> = <9,-17> b) We use...

    1 Answers · Science & Mathematics · 29/04/2019

  3. If v is half of w: v = w/2 and u is the mean of v and w: u = (v + w) / 2 And you...240 w = 80 Now that we have w we can solve for v and u: v + w = 120 v + 80 = 120 v = 40 u = (v + w) / 2 u = (40 + 80...

    3 Answers · Science & Mathematics · 25/10/2019

  4. You were doing fine. I would not try to factor anything. Just proceed with the substitutions. u = 2x³ + 6x du/dx = 6x² + 6 du = (6x² + 6) dx ∫ (6x² + 6)sin(2x³ + 6x) dx = ∫ sin(u) du

    1 Answers · Science & Mathematics · 31/08/2019

  5. 8u - 8 = 4 - 4w 8u + 4w = 12 2u + w = 3 w = 3 - 2u w = u + v 3 - 2u = u + v v = 3 - 3u 8u = 4 + 6v 8u = 4 + 6 * (3 - 3u) 4u = 2 + 3 * (3 - 3u) 4u = 2 + 9 - 9u 13u = 11 u = 11/13 v = 3 - 3u v = 3 - 33/13 v = 39/13 - 33/13 v = 6/13 w = u + v w = 11/13 + 6/13 w = 17/13

    2 Answers · Science & Mathematics · 16/09/2019

  6. u = - 9 i + 13 j I u I = [ 81 + 169 ]^(1/2) I u | = 250^(1/2) = 5 √10

    4 Answers · Science & Mathematics · 29/04/2019

  7. ...39;∩B' , so n(A∪B) + n(A'∩B') = n(U) n(A∪B) + 21 = 90 n(A∪B) = 90 - 21 n(A∪...

    2 Answers · Science & Mathematics · 17/09/2019

  8. u - v = (-7i + 12 j) - ( 8i - 15j ) u - v = - 15 i + 27 j

    2 Answers · Science & Mathematics · 05/02/2019

  9. It's an isosceles triangle so u and v are equal and Pythagoras requires that u²...

    9 Answers · Science & Mathematics · 19/07/2019

  10. ...π) ∫(r=4 to 5 ) r * sin( r² ) dr dθ but ∫ r * sin( r² ) dr let u = r² such that du = 2r dr and that dr = du/(2r) ∫ r *sin( r² ) dr...

    2 Answers · Science & Mathematics · 13/05/2019

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