Water flows from an inverted conical tank with circular orifice at the rate 37 = 0.67rr2 \/2g-^X dt 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(77/3) 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

Intro to Multivariable Calculus Lecture 8 Thursday, September 15, 2019:26 AM MATH 2204 Notes Page 1 MATH 2204 Notes Page 2 MATH 2204 Notes Page 3 MATH 2204 Notes Page 4 MATH 2204 Notes Page 5