Answer: 3 cm/s Solutions: let h cm and r cm be the depth and the base radius of water respectively by...3 cm, dh/dt = -27 / (3)^2 = -3 thus, the water level level is falling at a rate of 3 cm / second
(a) (i) Let D minutes be the duration, D ~ N(4.2, 0.6²...
Let h be the depth of the water level, so h/2 is the radius. Volume (V) = (1/3)π(h/2)^2(h...dt = 10 - 16 = -6, that is, -6 = (1/4)π(4^2)(dh/dt) dh/dt = -3/(2π) (a) Water level is falling at a rate 3/(2π) cm/s where h = 4. (b) Maximum depth occurs when dV/dt = 0, that is...
----------------------------------------------------------------------------------------------- 圖片參考：http://imgcld.yimg.com/8/n/HA05107138/o/20130510184140.jpg
... NOT equal to 0. 7) Distance = 11 - (-20) = 11 + 20 = 31 8) Let y cm be the length of the original string. (y - 7) ÷ 3 = 28 y - 7 = 84 y = 91 ...
...rate change of displacement. but for a easier understanding in a free falling object, distance is equivalent to displacement in our case. 2012-01-27 05:30...
... nth second = 20(1 - 0.8^n)/(1 - 0.8) = 100(1 - 0.8^n) m (iii) Let n -> infinity 100(1 - 0.8^n) = 100 So, the train will travel 100 m and it...
... theradius and the height of the cylinder. Let r (m) and h (m) be the radius and the height of the cylinder...by the pipe in 1 hour? b) After 1 hour, find the fall of water level in the rectangular tank. c) After 1 hour...
