q1/- Problem 1: MLP Forward Passq2/- Problem 2: Partial Derivatives and Optimizationq3/- Problem 3: Hyperplane Distanceq4/- Problem 4: Convexity Proofsq5/- Problem 5: Biased Coin Simulationq6/- Problem 6: Sum of Uniform Random Variables
All code uses only Python standard library and matplotlib (no numpy or scikit).