with detailed solution reference : https://drive.google.com/drive/folders/1j4xtb14ojebizLO-owwoJnwTrrDBAvBO

IV. Solve the following problems completely. 1. Find the absolute extremum points of f (x) = sin x + cos x on the interval [0, 7]. (3 points) In x 2. Use a local linear approximation of f (x) = In(0.9) 1 + x2 to estimate (3 points) 1.81 3. The marginal cost of manufacturing x tarpaulins is given by 0.03x2 +0.4x +7. If the cost of making 10 tarpaulins is 150 pesos, how much does it cost to make 5 tarpaulins? (3 points)