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  1. Use a compass  set the opening somewhat larger than half AB. Draw two arcs of the same radius. One centered at A the other at B The line through the intersections of the arcs is a perpendicular bisector...

    1 Answers · Science & Mathematics · 15/09/2020

  2. Let (A,B) ∈ R and (B,C) ∈ R then A ⊆ B and B ⊆ C ⇒ A ⊆ C ⇒ (A, C) ∈ R   . .   .  R is transitive

    1 Answers · Science & Mathematics · 28/07/2020

  3. u = 5 + sqrt(2x) u - 5 = sqrt(2x) ( u - 5)^2 = 2x 2 * ( u - 5) * du = 2 * dx ( u - 5) * du = dx dx / (5 + sqrt(2x)) => ( u - 5) * du / u => u * du / u   -  5 * du / u => du  -  5 * du/ u ...

    2 Answers · Science & Mathematics · 06/07/2020

  4. || u || * ||v|| * cos(t) = u . v || u || = sqrt(9^2 + 3^2) = sqrt(90) = 3 * sqrt(10) ||v|| = sqrt(36^2 + 12^2) = sqrt...

    1 Answers · Science & Mathematics · 10/08/2020

  5. 1. u = vector(a,6), v = vector(9,3). u & v are perpendicular iff (if and only if) their dot...vector u = (u1,u2) and vector v = (v1,v2), u dot v = u1*v1 + u2*v2.;  2. u = vector(-5,7), v = vector(8,3), angle between u and v is x...

    2 Answers · Science & Mathematics · 17/07/2020

  6. Find the points of intersection of: 4x - 3y = 15 and 8x² - 27y² = 45 It's still a system of two equations and two unknowns.  Just because they aren't lines doesn't mean we can't follow similar techniques to solve...

    3 Answers · Science & Mathematics · 15/08/2020

  7. Using u = e⁴ˣ, we have y = 10cos(6u)  so, du/dx = 4e⁴ˣ and dy/du = -60sin...)(-60sin(6u)) so, dy/dx = -240e⁴ˣsin(6u) Now, as u = e⁴ˣ we have: dy/dx = -240e⁴ˣsin(6e⁴ˣ) :)>

    6 Answers · Science & Mathematics · 11/07/2020

  8. vector u = (4,8); vector v = (-2,6); vector ( u +v) = vector (4-2,8+6) = vector (2,14).

    1 Answers · Science & Mathematics · 16/08/2020

  9. e^(x) = u e^(x) * dx = du 5 * e^(x) * dx / sqrt(4 - 9 * e^(2x)) => 5 * du / sqrt(4 - 9 * u ^2) Recall that 1 - sin(t)^2 = cos(t)^2 4 - 9 * u ^2 = 4 - 4 * sin(t)^2...

    2 Answers · Science & Mathematics · 03/06/2020

  10. (d/dx)f( u (ax)) = (df/du)(a du/dx) y = f( u ) = 9cos(-5u) dy/dx = -9sin(-5u)(-5)(du/dx) = 45sin(-5u)du/dx u = e^(-12x) du/dx = -12e^(-12x) dy/dx = -540sin(-5u)e^(-12x) Substituting for...

    3 Answers · Science & Mathematics · 02/10/2020

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