CFX-9850G Midpoint, Simpson, Newton methods - Printable Version +- HP Forums (https://www.hpmuseum.org/forum) +-- Forum: Not HP Calculators (/forum-7.html) +--- Forum: Not remotely HP Calculators (/forum-9.html) +--- Thread: CFX-9850G Midpoint, Simpson, Newton methods (/thread-13923.html) CFX-9850G Midpoint, Simpson, Newton methods - SlideRule - 11-02-2019 12:10 AM An excerpt from Appendix E: Graphing Utility Programs, Applied Calculus 6e (Larson); Programs for graphing calculators are referenced in several sections in the text. This appendix contains translations of these programs for the TI-82, TI-83, TI-85, TI-86, TI-89, TI-92, Casio CFX-9850G, HP38G, and Sharp EL 9200/9300, arranged by calculator model. Similar programs can be written for other brands and models of graphing calculators. Enter a program in your calculator, then refer to the text discussion and apply the program as appropriate. Midpoint Rule This program uses the Midpoint Rule to approximate the definite integral a∫b ƒ(x) dx. You must store the expression ƒ(x) as f1 before executing the program. The program itself will prompt you for the limits a and b and for the number of subintervals η. ======MIDPOINT====== “LOWER LIMIT”?→ A↲ “UPPER LIMIT”?→ B↲ “N DIVISIONS”?→ N↲ 0→S↲ (B-A)÷N→W↲ 1→J↲ Lbl 1↲ A+(J-1)W→L↲ A+JW→R↲ (L+R)÷2→X↲ S+Wf1→S↲ J+1→J↲ J≤N⇒Goto 1↲ “APPROXIMATION”↲ S Simpson's Rule This program uses Simpson's Rule to approximate the definite integral a∫b ƒ(x) dx. You must store the expression ƒ(x) as f1 before executing the program. The program itself will prompt you for the limits a and b and for half the number of subintervals you want to use. ======SIMPSON PROGRAM====== “LOWER LIMIT”?→A↲ “UPPER LIMIT”?→B↲ “N÷2 DIVISIONS”?→ D↲ 0→S↲ (B-A)÷(2D)→W↲ 1→J↲ Lbl 1↲ A+2(J-1)W→L↲ A+2JW→R↲ (L+R)÷2→M↲ L→X↲ f1→L↲ M→X↲ f1→M↲ R→X↲ f1→R↲ W(L+4M+R)÷3+S→S↲ J+1→J↲ J≤D⇒Goto→1↲ “APPROXIMATION”↲ S Newton's Method This program uses Newton's Method to approximate the zeros of a function. You must store the expression ƒ(x) as f1 before executing the program. Then graph the function to estimate one of its zeros. The program will prompt you for this estimate. ======NEWTON PROGRAM====== “ENTER APPROXIMATION”?→X↲ 1→N↲ X-f1÷d/dx(f1,X)→R↲ Lbl 1↲ R→X↲ X-f1÷d/dx(f1,X)→R↲ N+1→N↲ Abs (X-R)≥1E-10⇒Goto 1↲ “ROOT=”↲ R◢ “ITER=”↲ N BEST! SlideRule RE: CFX-9850G Midpoint, Simpson, Newton methods - Eddie W. Shore - 11-05-2019 01:50 PM I haven't memorized the Simpson's Rule - calculators with calculus functions have spoiled me.