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  1. Product & Chain Rules:  y = uv where u = u(x) and v = v(x) dy/dx = v du/dx + u dv/dx y = 2x² ( 3 - x² )⁵ dy...

    2 Answers · Science & Mathematics · 20/11/2019

  2. f(x) = (x^3)e^(-0.01x) The function is of the form f(x) = u(x)v(x) and the derivative is of the form f'(x) = u'v + uv' If...

    3 Answers · Science & Mathematics · 13/11/2019

  3. ...the ratio of length of water surface/depth of water = 20/(9 – 1) = 5/2 Volume V = triangular cross section * width = (1/2)(5/2)h*h*20 V = 25h^2 dV/dh...

    4 Answers · Science & Mathematics · 03/11/2019

  4. The volume of a sphere with radius "r" is given by: V = 4*π*r³/3 so: r = (3V/(4π))^(1/3) The surface area of a...

    4 Answers · Science & Mathematics · 31/10/2019

  5. h = -16t^2 + 160 * t + 10 h = 10 - 16 * (t^2 - 10t) h = 10 - 16 * (t^2 - 10t + 25 - 25) h = 10 - 16 * (-25) - 16 * (t^2 - 10t + 25) h = 10 + 400 - 16 * (t - 5)^2 h = 410 - 16 * (t - 5)^2 Now just let t - 5 = 0 h = 410 - 16 * 0^2 h = 410 - 0 h = 410 The maximum height reached is 410 feet t - 5 = 0 t = 5 It...

    3 Answers · Science & Mathematics · 29/10/2019

  6. If v is half of w: v = w/2 and u is the mean of v and w: u = (v + w) / 2 And you know it's a triangle...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...

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

  7. u = 2 m/s a = 1.5 m/s² t = 6 s v = u + at v = 2 + 1.5×6 Final velocity, v = 11 m/s

    3 Answers · Science & Mathematics · 12/10/2019

  8. Distance travelled is 48 miles. Let v be the speed of the boat and r is the speed ot the river. Time to go...

    1 Answers · Science & Mathematics · 11/10/2019

  9. v = x/t total distance = 2x total time: x/40 + x/60 avg v = (2x)/(x/40 + x/60) avg v = 2x / ((2x + 3x)/120) avg v = 2x * 120 / (5x) avg v = 48 mph

    5 Answers · Science & Mathematics · 07/10/2019

  10. ... the multinomial coefficient. number of ways to arrange S, V, T, N, N = 5!/(1!1!1!2!) = 60 (15)(60) = 900

    2 Answers · Science & Mathematics · 01/10/2019

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