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

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

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

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

...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

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