Problem 5. Consider the harmonic function y = 2e * sin 3x 0x5 Investigate the validity of the numerical differentiation process by considering two different values for the number of points in the domain: (a) 21, and (b) 501. Plot the exact derivative of function y vs approximate (i.e. numerically determined) derivative of function y for both cases. NOTE: When multiplying vectors element by element you must use dot-asterisk (.*) symbol instead of just asterisk (*). Also when exponentiating vector element by element you need to use dot-caret (.^) instead of just caret (^) symbol. dy Q6. (10 pts) What is exact value of for x=2.25? Q7. (40 pts) What is approximate value of dy for x-2.25 when number of points is N=21, i.e. dx for point N1=10? Q8. (10 pts) What is exact value of dx for x=2.3? Q9. (40 pts) What is approximate value of for x=2.3 when number of points is N-201, i.e. dx for point N1-231?