> #Timothy Nasralla, 10/25/21, HW15 > #Question 1: #Part i: Solve the 2 given equations substituting numbers in your > RUID for variables, then plot the solutions given. > #1 > dsolve({D(x)(t) = (2 - x(t))*(2 - x(t))*(4 - x(t)), x(0) = 2}, x(t)); x(t) = 2 > ez := plot(2,t=0...5) > #2 > dsolve({diff(x(t),t) = (2 - x(t))*(2 - x(t))*(4 - x(t)), x(0) = 4}, x(t)) x(t) = 4 > ey := plot(4,t=0...5) > #Part ii: Use Disi to plot the graphs. #First function > Dis1((2-x)*(2-x)(4-x),x,2,0.1,5) [[0.1, 2], [0.2, 2.], [0.3, 2.], [0.4, 2.], [0.5, 2.], [0.6, 2.], [0.7, 2.], [0.8, 2.], [0.9, 2.], [1.0, 2.], [1.1, 2.], [1.2, 2.], [1.3, 2.], [1.4, 2.], [1.5, 2.], [1.6, 2.], [1.7, 2.], [1.8, 2.], [1.9, 2.], [2.0, 2.], [2.1, 2.], [2.2, 2.], [2.3, 2.], [2.4, 2.], [2.5, 2.], [2.6, 2.], [2.7, 2.], [2.8, 2.], [2.9, 2.], [3.0, 2.], [3.1, 2.], [3.2, 2.], [3.3, 2.], [3.4, 2.], [3.5, 2.], [3.6, 2.], [3.7, 2.], [3.8, 2.], [3.9, 2.], [4.0, 2.], [4.1, 2.], [4.2, 2.], [4.3, 2.], [4.4, 2.], [4.5, 2.], [4.6, 2.], [4.7, 2.], [4.8, 2.], [4.9, 2.], [5.0, 2.], [5.1, 2.], [5.2, 2.]] > plot(%) > Dis1((2-x)*(2-x)(4-x),x,2,0.01,5) [[0.01, 2], [0.02, 2.], [0.03, 2.], [0.04, 2.], [0.05, 2.], [0.06, 2.], [0.07, 2.], [0.08, 2.], [0.09, 2.], [0.10, 2.], [0.11, 2.], [0.12, 2.], [0.13, 2.], [0.14, 2.], [0.15, 2.], [0.16, 2.], [0.17, 2.], [0.18, 2.], [0.19, 2.], [0.20, 2.], [0.21, 2.], [0.22, 2.], [0.23, 2.], [0.24, 2.], [0.25, 2.], [0.26, 2.], [0.27, 2.], [0.28, 2.], [0.29, 2.], [0.30, 2.], [0.31, 2.], [0.32, 2.], [0.33, 2.], [0.34, 2.], [0.35, 2.], [0.36, 2.], [0.37, 2.], [0.38, 2.], [0.39, 2.], [0.40, 2.], [0.41, 2.], [0.42, 2.], [0.43, 2.], [0.44, 2.], [0.45, 2.], [0.46, 2.], [0.47, 2.], [0.48, 2.], [0.49, 2.], [0.50, 2.], [0.51, 2.], [0.52, 2.], [0.53, 2.], [0.54, 2.], [0.55, 2.], [0.56, 2.], [0.57, 2.], [0.58, 2.], [0.59, 2.], [0.60, 2.], [0.61, 2.], [0.62, 2.], [0.63, 2.], [0.64, 2.], [0.65, 2.], [0.66, 2.], [0.67, 2.], [0.68, 2.], [0.69, 2.], [0.70, 2.], [0.71, 2.], [0.72, 2.], [0.73, 2.], [0.74, 2.], [0.75, 2.], [0.76, 2.], [0.77, 2.], [0.78, 2.], [0.79, 2.], [0.80, 2.], [0.81, 2.], [0.82, 2.], [0.83, 2.], [0.84, 2.], [0.85, 2.], [0.86, 2.], [0.87, 2.], [0.88, 2.], [0.89, 2.], [0.90, 2.], [0.91, 2.], [0.92, 2.], [0.93, 2.], [0.94, 2.], [0.95, 2.], [0.96, 2.], [0.97, 2.], [0.98, 2.], [0.99, 2.], [1.00, 2.], [1.01, 2.], [1.02, 2.], [1.03, 2.], [1.04, 2.], [1.05, 2.], [1.06, 2.], [1.07, 2.], [1.08, 2.], [1.09, 2.], [1.10, 2.], [1.11, 2.], [1.12, 2.], [1.13, 2.], [1.14, 2.], [1.15, 2.], [1.16, 2.], [1.17, 2.], [1.18, 2.], [1.19, 2.], [1.20, 2.], [1.21, 2.], [1.22, 2.], [1.23, 2.], [1.24, 2.], [1.25, 2.], [1.26, 2.], [1.27, 2.], [1.28, 2.], [1.29, 2.], [1.30, 2.], [1.31, 2.], [1.32, 2.], [1.33, 2.], [1.34, 2.], [1.35, 2.], [1.36, 2.], [1.37, 2.], [1.38, 2.], [1.39, 2.], [1.40, 2.], [1.41, 2.], [1.42, 2.], [1.43, 2.], [1.44, 2.], [1.45, 2.], [1.46, 2.], [1.47, 2.], [1.48, 2.], [1.49, 2.], [1.50, 2.], [1.51, 2.], [1.52, 2.], [1.53, 2.], [1.54, 2.], [1.55, 2.], [1.56, 2.], [1.57, 2.], [1.58, 2.], [1.59, 2.], [1.60, 2.], [1.61, 2.], [1.62, 2.], [1.63, 2.], [1.64, 2.], [1.65, 2.], [1.66, 2.], [1.67, 2.], [1.68, 2.], [1.69, 2.], [1.70, 2.], [1.71, 2.], [1.72, 2.], [1.73, 2.], [1.74, 2.], [1.75, 2.], [1.76, 2.], [1.77, 2.], [1.78, 2.], [1.79, 2.], [1.80, 2.], [1.81, 2.], [1.82, 2.], [1.83, 2.], [1.84, 2.], [1.85, 2.], [1.86, 2.], [1.87, 2.], [1.88, 2.], [1.89, 2.], [1.90, 2.], [1.91, 2.], [1.92, 2.], [1.93, 2.], [1.94, 2.], [1.95, 2.], [1.96, 2.], [1.97, 2.], [1.98, 2.], [1.99, 2.], [2.00, 2.], [2.01, 2.], [2.02, 2.], [2.03, 2.], [2.04, 2.], [2.05, 2.], [2.06, 2.], [2.07, 2.], [2.08, 2.], [2.09, 2.], [2.10, 2.], [2.11, 2.], [2.12, 2.], [2.13, 2.], [2.14, 2.], [2.15, 2.], [2.16, 2.], [2.17, 2.], [2.18, 2.], [2.19, 2.], [2.20, 2.], [2.21, 2.], [2.22, 2.], [2.23, 2.], [2.24, 2.], [2.25, 2.], [2.26, 2.], [2.27, 2.], [2.28, 2.], [2.29, 2.], [2.30, 2.], [2.31, 2.], [2.32, 2.], [2.33, 2.], [2.34, 2.], [2.35, 2.], [2.36, 2.], [2.37, 2.], [2.38, 2.], [2.39, 2.], [2.40, 2.], [2.41, 2.], [2.42, 2.], [2.43, 2.], [2.44, 2.], [2.45, 2.], [2.46, 2.], [2.47, 2.], [2.48, 2.], [2.49, 2.], [2.50, 2.], [2.51, 2.], [2.52, 2.], [2.53, 2.], [2.54, 2.], [2.55, 2.], [2.56, 2.], [2.57, 2.], [2.58, 2.], [2.59, 2.], [2.60, 2.], [2.61, 2.], [2.62, 2.], [2.63, 2.], [2.64, 2.], [2.65, 2.], [2.66, 2.], [2.67, 2.], [2.68, 2.], [2.69, 2.], [2.70, 2.], [2.71, 2.], [2.72, 2.], [2.73, 2.], [2.74, 2.], [2.75, 2.], [2.76, 2.], [2.77, 2.], [2.78, 2.], [2.79, 2.], [2.80, 2.], [2.81, 2.], [2.82, 2.], [2.83, 2.], [2.84, 2.], [2.85, 2.], [2.86, 2.], [2.87, 2.], [2.88, 2.], [2.89, 2.], [2.90, 2.], [2.91, 2.], [2.92, 2.], [2.93, 2.], [2.94, 2.], [2.95, 2.], [2.96, 2.], [2.97, 2.], [2.98, 2.], [2.99, 2.], [3.00, 2.], [3.01, 2.], [3.02, 2.], [3.03, 2.], [3.04, 2.], [3.05, 2.], [3.06, 2.], [3.07, 2.], [3.08, 2.], [3.09, 2.], [3.10, 2.], [3.11, 2.], [3.12, 2.], [3.13, 2.], [3.14, 2.], [3.15, 2.], [3.16, 2.], [3.17, 2.], [3.18, 2.], [3.19, 2.], [3.20, 2.], [3.21, 2.], [3.22, 2.], [3.23, 2.], [3.24, 2.], [3.25, 2.], [3.26, 2.], [3.27, 2.], [3.28, 2.], [3.29, 2.], [3.30, 2.], [3.31, 2.], [3.32, 2.], [3.33, 2.], [3.34, 2.], [3.35, 2.], [3.36, 2.], [3.37, 2.], [3.38, 2.], [3.39, 2.], [3.40, 2.], [3.41, 2.], [3.42, 2.], [3.43, 2.], [3.44, 2.], [3.45, 2.], [3.46, 2.], [3.47, 2.], [3.48, 2.], [3.49, 2.], [3.50, 2.], [3.51, 2.], [3.52, 2.], [3.53, 2.], [3.54, 2.], [3.55, 2.], [3.56, 2.], [3.57, 2.], [3.58, 2.], [3.59, 2.], [3.60, 2.], [3.61, 2.], [3.62, 2.], [3.63, 2.], [3.64, 2.], [3.65, 2.], [3.66, 2.], [3.67, 2.], [3.68, 2.], [3.69, 2.], [3.70, 2.], [3.71, 2.], [3.72, 2.], [3.73, 2.], [3.74, 2.], [3.75, 2.], [3.76, 2.], [3.77, 2.], [3.78, 2.], [3.79, 2.], [3.80, 2.], [3.81, 2.], [3.82, 2.], [3.83, 2.], [3.84, 2.], [3.85, 2.], [3.86, 2.], [3.87, 2.], [3.88, 2.], [3.89, 2.], [3.90, 2.], [3.91, 2.], [3.92, 2.], [3.93, 2.], [3.94, 2.], [3.95, 2.], [3.96, 2.], [3.97, 2.], [3.98, 2.], [3.99, 2.], [4.00, 2.], [4.01, 2.], [4.02, 2.], [4.03, 2.], [4.04, 2.], [4.05, 2.], [4.06, 2.], [4.07, 2.], [4.08, 2.], [4.09, 2.], [4.10, 2.], [4.11, 2.], [4.12, 2.], [4.13, 2.], [4.14, 2.], [4.15, 2.], [4.16, 2.], [4.17, 2.], [4.18, 2.], [4.19, 2.], [4.20, 2.], [4.21, 2.], [4.22, 2.], [4.23, 2.], [4.24, 2.], [4.25, 2.], [4.26, 2.], [4.27, 2.], [4.28, 2.], [4.29, 2.], [4.30, 2.], [4.31, 2.], [4.32, 2.], [4.33, 2.], [4.34, 2.], [4.35, 2.], [4.36, 2.], [4.37, 2.], [4.38, 2.], [4.39, 2.], [4.40, 2.], [4.41, 2.], [4.42, 2.], [4.43, 2.], [4.44, 2.], [4.45, 2.], [4.46, 2.], [4.47, 2.], [4.48, 2.], [4.49, 2.], [4.50, 2.], [4.51, 2.], [4.52, 2.], [4.53, 2.], [4.54, 2.], [4.55, 2.], [4.56, 2.], [4.57, 2.], [4.58, 2.], [4.59, 2.], [4.60, 2.], [4.61, 2.], [4.62, 2.], [4.63, 2.], [4.64, 2.], [4.65, 2.], [4.66, 2.], [4.67, 2.], [4.68, 2.], [4.69, 2.], [4.70, 2.], [4.71, 2.], [4.72, 2.], [4.73, 2.], [4.74, 2.], [4.75, 2.], [4.76, 2.], [4.77, 2.], [4.78, 2.], [4.79, 2.], [4.80, 2.], [4.81, 2.], [4.82, 2.], [4.83, 2.], [4.84, 2.], [4.85, 2.], [4.86, 2.], [4.87, 2.], [4.88, 2.], [4.89, 2.], [4.90, 2.], [4.91, 2.], [4.92, 2.], [4.93, 2.], [4.94, 2.], [4.95, 2.], [4.96, 2.], [4.97, 2.], [4.98, 2.], [4.99, 2.], [5.00, 2.], [5.01, 2.], [5.02, 2.]] > plot(%) > #Second function > Dis1((2-x)*(2-x)*(4-x),x,4,0.1,5) [[0.1, 4], [0.2, 4.], [0.3, 4.], [0.4, 4.], [0.5, 4.], [0.6, 4.], [0.7, 4.], [0.8, 4.], [0.9, 4.], [1.0, 4.], [1.1, 4.], [1.2, 4.], [1.3, 4.], [1.4, 4.], [1.5, 4.], [1.6, 4.], [1.7, 4.], [1.8, 4.], [1.9, 4.], [2.0, 4.], [2.1, 4.], [2.2, 4.], [2.3, 4.], [2.4, 4.], [2.5, 4.], [2.6, 4.], [2.7, 4.], [2.8, 4.], [2.9, 4.], [3.0, 4.], [3.1, 4.], [3.2, 4.], [3.3, 4.], [3.4, 4.], [3.5, 4.], [3.6, 4.], [3.7, 4.], [3.8, 4.], [3.9, 4.], [4.0, 4.], [4.1, 4.], [4.2, 4.], [4.3, 4.], [4.4, 4.], [4.5, 4.], [4.6, 4.], [4.7, 4.], [4.8, 4.], [4.9, 4.], [5.0, 4.], [5.1, 4.], [5.2, 4.]] > plot(%) > Dis1((2-x)*(2-x)*(4-x),x,4,0.01,5) [[0.01, 4], [0.02, 4.], [0.03, 4.], [0.04, 4.], [0.05, 4.], [0.06, 4.], [0.07, 4.], [0.08, 4.], [0.09, 4.], [0.10, 4.], [0.11, 4.], [0.12, 4.], [0.13, 4.], [0.14, 4.], [0.15, 4.], [0.16, 4.], [0.17, 4.], [0.18, 4.], [0.19, 4.], [0.20, 4.], [0.21, 4.], [0.22, 4.], [0.23, 4.], [0.24, 4.], [0.25, 4.], [0.26, 4.], [0.27, 4.], [0.28, 4.], [0.29, 4.], [0.30, 4.], [0.31, 4.], [0.32, 4.], [0.33, 4.], [0.34, 4.], [0.35, 4.], [0.36, 4.], [0.37, 4.], [0.38, 4.], [0.39, 4.], [0.40, 4.], [0.41, 4.], [0.42, 4.], [0.43, 4.], [0.44, 4.], [0.45, 4.], [0.46, 4.], [0.47, 4.], [0.48, 4.], [0.49, 4.], [0.50, 4.], [0.51, 4.], [0.52, 4.], [0.53, 4.], [0.54, 4.], [0.55, 4.], [0.56, 4.], [0.57, 4.], [0.58, 4.], [0.59, 4.], [0.60, 4.], [0.61, 4.], [0.62, 4.], [0.63, 4.], [0.64, 4.], [0.65, 4.], [0.66, 4.], [0.67, 4.], [0.68, 4.], [0.69, 4.], [0.70, 4.], [0.71, 4.], [0.72, 4.], [0.73, 4.], [0.74, 4.], [0.75, 4.], [0.76, 4.], [0.77, 4.], [0.78, 4.], [0.79, 4.], [0.80, 4.], [0.81, 4.], [0.82, 4.], [0.83, 4.], [0.84, 4.], [0.85, 4.], [0.86, 4.], [0.87, 4.], [0.88, 4.], [0.89, 4.], [0.90, 4.], [0.91, 4.], [0.92, 4.], [0.93, 4.], [0.94, 4.], [0.95, 4.], [0.96, 4.], [0.97, 4.], [0.98, 4.], [0.99, 4.], [1.00, 4.], [1.01, 4.], [1.02, 4.], [1.03, 4.], [1.04, 4.], [1.05, 4.], [1.06, 4.], [1.07, 4.], [1.08, 4.], [1.09, 4.], [1.10, 4.], [1.11, 4.], [1.12, 4.], [1.13, 4.], [1.14, 4.], [1.15, 4.], [1.16, 4.], [1.17, 4.], [1.18, 4.], [1.19, 4.], [1.20, 4.], [1.21, 4.], [1.22, 4.], [1.23, 4.], [1.24, 4.], [1.25, 4.], [1.26, 4.], [1.27, 4.], [1.28, 4.], [1.29, 4.], [1.30, 4.], [1.31, 4.], [1.32, 4.], [1.33, 4.], [1.34, 4.], [1.35, 4.], [1.36, 4.], [1.37, 4.], [1.38, 4.], [1.39, 4.], [1.40, 4.], [1.41, 4.], [1.42, 4.], [1.43, 4.], [1.44, 4.], [1.45, 4.], [1.46, 4.], [1.47, 4.], [1.48, 4.], [1.49, 4.], [1.50, 4.], [1.51, 4.], [1.52, 4.], [1.53, 4.], [1.54, 4.], [1.55, 4.], [1.56, 4.], [1.57, 4.], [1.58, 4.], [1.59, 4.], [1.60, 4.], [1.61, 4.], [1.62, 4.], [1.63, 4.], [1.64, 4.], [1.65, 4.], [1.66, 4.], [1.67, 4.], [1.68, 4.], [1.69, 4.], [1.70, 4.], [1.71, 4.], [1.72, 4.], [1.73, 4.], [1.74, 4.], [1.75, 4.], [1.76, 4.], [1.77, 4.], [1.78, 4.], [1.79, 4.], [1.80, 4.], [1.81, 4.], [1.82, 4.], [1.83, 4.], [1.84, 4.], [1.85, 4.], [1.86, 4.], [1.87, 4.], [1.88, 4.], [1.89, 4.], [1.90, 4.], [1.91, 4.], [1.92, 4.], [1.93, 4.], [1.94, 4.], [1.95, 4.], [1.96, 4.], [1.97, 4.], [1.98, 4.], [1.99, 4.], [2.00, 4.], [2.01, 4.], [2.02, 4.], [2.03, 4.], [2.04, 4.], [2.05, 4.], [2.06, 4.], [2.07, 4.], [2.08, 4.], [2.09, 4.], [2.10, 4.], [2.11, 4.], [2.12, 4.], [2.13, 4.], [2.14, 4.], [2.15, 4.], [2.16, 4.], [2.17, 4.], [2.18, 4.], [2.19, 4.], [2.20, 4.], [2.21, 4.], [2.22, 4.], [2.23, 4.], [2.24, 4.], [2.25, 4.], [2.26, 4.], [2.27, 4.], [2.28, 4.], [2.29, 4.], [2.30, 4.], [2.31, 4.], [2.32, 4.], [2.33, 4.], [2.34, 4.], [2.35, 4.], [2.36, 4.], [2.37, 4.], [2.38, 4.], [2.39, 4.], [2.40, 4.], [2.41, 4.], [2.42, 4.], [2.43, 4.], [2.44, 4.], [2.45, 4.], [2.46, 4.], [2.47, 4.], [2.48, 4.], [2.49, 4.], [2.50, 4.], [2.51, 4.], [2.52, 4.], [2.53, 4.], [2.54, 4.], [2.55, 4.], [2.56, 4.], [2.57, 4.], [2.58, 4.], [2.59, 4.], [2.60, 4.], [2.61, 4.], [2.62, 4.], [2.63, 4.], [2.64, 4.], [2.65, 4.], [2.66, 4.], [2.67, 4.], [2.68, 4.], [2.69, 4.], [2.70, 4.], [2.71, 4.], [2.72, 4.], [2.73, 4.], [2.74, 4.], [2.75, 4.], [2.76, 4.], [2.77, 4.], [2.78, 4.], [2.79, 4.], [2.80, 4.], [2.81, 4.], [2.82, 4.], [2.83, 4.], [2.84, 4.], [2.85, 4.], [2.86, 4.], [2.87, 4.], [2.88, 4.], [2.89, 4.], [2.90, 4.], [2.91, 4.], [2.92, 4.], [2.93, 4.], [2.94, 4.], [2.95, 4.], [2.96, 4.], [2.97, 4.], [2.98, 4.], [2.99, 4.], [3.00, 4.], [3.01, 4.], [3.02, 4.], [3.03, 4.], [3.04, 4.], [3.05, 4.], [3.06, 4.], [3.07, 4.], [3.08, 4.], [3.09, 4.], [3.10, 4.], [3.11, 4.], [3.12, 4.], [3.13, 4.], [3.14, 4.], [3.15, 4.], [3.16, 4.], [3.17, 4.], [3.18, 4.], [3.19, 4.], [3.20, 4.], [3.21, 4.], [3.22, 4.], [3.23, 4.], [3.24, 4.], [3.25, 4.], [3.26, 4.], [3.27, 4.], [3.28, 4.], [3.29, 4.], [3.30, 4.], [3.31, 4.], [3.32, 4.], [3.33, 4.], [3.34, 4.], [3.35, 4.], [3.36, 4.], [3.37, 4.], [3.38, 4.], [3.39, 4.], [3.40, 4.], [3.41, 4.], [3.42, 4.], [3.43, 4.], [3.44, 4.], [3.45, 4.], [3.46, 4.], [3.47, 4.], [3.48, 4.], [3.49, 4.], [3.50, 4.], [3.51, 4.], [3.52, 4.], [3.53, 4.], [3.54, 4.], [3.55, 4.], [3.56, 4.], [3.57, 4.], [3.58, 4.], [3.59, 4.], [3.60, 4.], [3.61, 4.], [3.62, 4.], [3.63, 4.], [3.64, 4.], [3.65, 4.], [3.66, 4.], [3.67, 4.], [3.68, 4.], [3.69, 4.], [3.70, 4.], [3.71, 4.], [3.72, 4.], [3.73, 4.], [3.74, 4.], [3.75, 4.], [3.76, 4.], [3.77, 4.], [3.78, 4.], [3.79, 4.], [3.80, 4.], [3.81, 4.], [3.82, 4.], [3.83, 4.], [3.84, 4.], [3.85, 4.], [3.86, 4.], [3.87, 4.], [3.88, 4.], [3.89, 4.], [3.90, 4.], [3.91, 4.], [3.92, 4.], [3.93, 4.], [3.94, 4.], [3.95, 4.], [3.96, 4.], [3.97, 4.], [3.98, 4.], [3.99, 4.], [4.00, 4.], [4.01, 4.], [4.02, 4.], [4.03, 4.], [4.04, 4.], [4.05, 4.], [4.06, 4.], [4.07, 4.], [4.08, 4.], [4.09, 4.], [4.10, 4.], [4.11, 4.], [4.12, 4.], [4.13, 4.], [4.14, 4.], [4.15, 4.], [4.16, 4.], [4.17, 4.], [4.18, 4.], [4.19, 4.], [4.20, 4.], [4.21, 4.], [4.22, 4.], [4.23, 4.], [4.24, 4.], [4.25, 4.], [4.26, 4.], [4.27, 4.], [4.28, 4.], [4.29, 4.], [4.30, 4.], [4.31, 4.], [4.32, 4.], [4.33, 4.], [4.34, 4.], [4.35, 4.], [4.36, 4.], [4.37, 4.], [4.38, 4.], [4.39, 4.], [4.40, 4.], [4.41, 4.], [4.42, 4.], [4.43, 4.], [4.44, 4.], [4.45, 4.], [4.46, 4.], [4.47, 4.], [4.48, 4.], [4.49, 4.], [4.50, 4.], [4.51, 4.], [4.52, 4.], [4.53, 4.], [4.54, 4.], [4.55, 4.], [4.56, 4.], [4.57, 4.], [4.58, 4.], [4.59, 4.], [4.60, 4.], [4.61, 4.], [4.62, 4.], [4.63, 4.], [4.64, 4.], [4.65, 4.], [4.66, 4.], [4.67, 4.], [4.68, 4.], [4.69, 4.], [4.70, 4.], [4.71, 4.], [4.72, 4.], [4.73, 4.], [4.74, 4.], [4.75, 4.], [4.76, 4.], [4.77, 4.], [4.78, 4.], [4.79, 4.], [4.80, 4.], [4.81, 4.], [4.82, 4.], [4.83, 4.], [4.84, 4.], [4.85, 4.], [4.86, 4.], [4.87, 4.], [4.88, 4.], [4.89, 4.], [4.90, 4.], [4.91, 4.], [4.92, 4.], [4.93, 4.], [4.94, 4.], [4.95, 4.], [4.96, 4.], [4.97, 4.], [4.98, 4.], [4.99, 4.], [5.00, 4.], [5.01, 4.], [5.02, 4.]] > plot(%) > > #Question 3: i, convert the equation given by hand. #ii. Use ToSys(k,z,f,INI) > to confirm your answer > ToSys(4,z,(z[1]+2*z[2]+3*z[3]+11*z[4])/(z[1]+z[3]),[1,5,5,2]) [z[1] + 2 z[2] + 3 z[3] + 11 z[4] ] [--------------------------------, z[1], z[2], z[3]], [1, 5, 5, 2] [ z[1] + z[3] ] > #Question 3 Orbk(2,x,((1-x[1])*(1-x[2])),[2.5,1.7],1000,1010) [-Float(infinity), -Float(infinity), Float(infinity), -Float(infinity), -Float(infinity), Float(infinity), -Float(infinity), -Float(infinity), Float(infinity), -Float(infinity), -Float(infinity)] > ToSys(2,x,((1-x[1])*(1-x[2])),[2.5,1.7]) [(1 - x[1]) (1 - x[2]), x[1]], [2.5, 1.7] > #Question 4: Fill in the blanks and derive the hardy weinberg dynamical system AA Aa aa AA x AA u^2 0 0 Aa x AA uv u*v 0 aa x AA 0 2u*w 0 Aa x Aa v^2/4 v^2/2 v^2/4 Aa x aa 0 v*w u*w aa x aa 0 0 w^2 Sums u^2+uv+1/4*v^2 u*v+2u*w+v*w+1/2*v^2 1/4*v^2+u*w+w^2