Water flows from an inverted conical tank with circular orifice at the rate dx dt = 0.6r2 2g x A(x) , where r is the radius of the orifice, x is the height of the liquid level from the vertex of the cone, and A(x) is the area of the cross section of the tank x units above the orifice. Suppose r = 0.1 ft, g = 32.1 ft/s2, and the tank has an initial water level of 8 ft and initial volume of 512(/3) ft3. Use the Runge-Kutta method of order four to find the following. a. The water level after 10 min with h = 20 s b. When the tank will be empty, to within 1 min.

Shlomi Oved Discrete Mathematics 09/19/16 Lecture (Week 3) • Quiz 1 is graded • Quiz 2 is on Wednesday (Based on HW#2) • Quiz 1 • Find the inverse of the function f or else explain why the function has no inverse. • : → ,ℎ = 3 − 5 • = {…− 3,−2,−1,0,1,2,3…} • Definition of a Function-‐ Let A and B be non-‐empty sets. A function from A to B is an assignment of exactly one element of