1.Use forward and backward difference approximations of O(h) and a centered difference approximation of O(h^2) to estimate the first derivative of the function examined in prob. 4.5. evaluate the derivative at x=2 using a step size of h=0.2. compare your results with the true value of the derivative. interpret your results on the basis of the remainder term of the taylor series expansion.
2.We know that the molar concentration and volume of a solution is the sum of the product of the molar concentration and volume of each solution component before mixing: M1V1 = M2V2 + M3V3. Using the information below, calculate the final molar concentration of the mixture (M1) with units of mol/mL. (Watch the units) M2=0.60 mol/L V2=6 mL M3=0.15 mol/L V3=10 mL