Please I need a help with part (b) Assuming (h= 4ft) 1. The volume of liquid in
ID: 2966655 • Letter: P
Question
Please I need a help with part (b) Assuming (h= 4ft)
1. The volume of liquid in a horizontal cylindrical tank is given by the following equation r COS where r is the radius of the tank, h is the level of the liquid in the tank and Lis the length of the tank. Consider a cylindrical tank with a radius of 5 ft and a length of 12 ft (a) Determine the fuel level in the tank of the amount of fuel in the tank is 250 ft. Identify all the roots for the equation. Comment on your data. (10 points) (b) Assuming initial value of 1 ft (Groups 1,3, 5), or h 5 ft (groups 7,9, 11), or h 7ft roups 2, 4,6), or h 4 ft (groups 2,4,6), or h 0.8 ft (groups 8, 10, 12), or h 2 ft (groups 13, 140, calculate tive (using pen aper and calculator) the fuel level in the tank using Newton's method. Calculate true errors and approximate emors at each iteration, conforming to four significant figures. (20 points) (c) Use MATLAB code provided and discussed in class to calculate the fuel level in the tank, using Bisection method, False-Position, and One-Point lteration Methods. Attach the code highlighting any modifications you have made. Identify how many iterations it took to solve this function for each of these methods (20 points) (d) Extra Credit Plot true and approximate errors as a function of number of iterations, for the Newton's method you solved in (b) (10 points)Explanation / Answer
In this section we are going to look at a method for approximating solutions to equations. We all know that equations need to be solved on occasion and in fact we