A concrete channel to bring water to Crystal Lake is being designed. It will have vertical walls 15 feet wide. It will be 10 feet deep, have a slope of 0.0015 feet/foot, and have a roughness coefficient of 0.014. How deep will the water be when 1000 cubic feet per second is flowing through the channel? To solve this problem, we can use Mannings equation. Q = (1.486 / N) * A * R 2/3 * s

where Q is the flow of water (cubic feet per second), N is the roughness coefficient (unitless), A is the cross-sectional area of the water (square feet), S is the slope (feet/foot), and R is the hydraulic radius (feet). The hydraulic radius is the cross-sectional area divided by the wetted perimeter. R = depth * width/ (2 * depth + width).

Write a MATLAB program that produces this table. Use nested for loops to provide the slope and depth values. For example, the index variable on the outer loop can be a double variable with initial value 0.0014. Input the width and roughness coefficient.