3.10 Determine to 8 significant figures using the Maclaurin series approx the number of terms necessary to approxi ximate cos x imation 2 4!8! Calculate the approximation using a value of x = 0.3. Write a program to determine y our result. .13 The "divide and average" method, an old-time method for approximating the square root of any positive number a, can be formulated as x + a/x Write a well-structured function to implement this algorithm based on the algorithm outlined in Fig. 3.3 4.6 Use zero-through fourth-order Taylor series expansions to pre- dict f(2.5) forf(x) = In x using a base point at x = 1. Compute the true percent relative error , for each approximation. Discuss the meaning of the results. FUNCTION IterMeth(va1, es, maxit) iter1 sol val ea= 100 sololdso so1-. iter iter1 IF sol O ea-abs((sol -solold)/sol)*100 IF ea es 0R iter maxit EXIT END DO IterMeth-so END IterMeth FIGURE 3.3 Pseudocode for a generic iterative calculation