Theoretical assignment Consider hyperbolic tangent function tanh(c) exp(x) exp(-x) exp(x) + exp(-x) where x E 1-2, 2]. Use 5 nodes to uniformly cut the interval (2, 2) into 4 sub-intervals. 2 Nodes are -2, -1, 0, 1, 2 4. Based on these 5 nodes, use linear spline function to approximate f(x) = tanh(c), XE 1-2, 2] (25 pts). The specific liner splines for each sub- intervals are required. 5. Based on these 5 nodes, use cubic spline function to approximate f(x) = tanh(c), XE (-2, 2] (25 pts). The specific cubic splines for each sub- intervals are required. = Theoretical assignment Consider hyperbolic tangent function tanh(c) exp(x) exp(-x) exp(x) + exp(-x) where x E 1-2, 2]. Use 5 nodes to uniformly cut the interval (2, 2) into 4 sub-intervals. 2 Nodes are -2, -1, 0, 1, 2 4. Based on these 5 nodes, use linear spline function to approximate f(x) = tanh(c), XE 1-2, 2] (25 pts). The specific liner splines for each sub- intervals are required. 5. Based on these 5 nodes, use cubic spline function to approximate f(x) = tanh(c), XE (-2, 2] (25 pts). The specific cubic splines for each sub- intervals are required. =