Mathematics Homework Help. Arizona State University Numerical Analysis Exam Practice
Water flows from an inverted conical tank with circular orifice at the rate dx 2 √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(π/3) ft3. Use the Runge-Kutta method of order four to find the following:
- The water level after 10 min with h = 20 s
- When the tank will be empty, to within 1 min
