(38G) Newton's Method

11012019, 02:40 PM
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(38G) Newton's Method
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 TI82, TI83, TI85, TI86, TI89, TI92, Casio CFX9850G, HP 38G, 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. Newton's Method This program uses Newton's Method to approximate the zeros of a function. Enter both programs into the calculator. Store the expression ƒ(x) in the F1 function in the Function aplet. Be sure F1 is checked. Then graph the function to estimate one of its zeros. The program will prompt you for this estimate. NEWTON PROGRAM INPUT X;“ENTER APPROXIMATION”; “ENTER X”;“ ”; 1: 1►N: XF(1)X/∂X(F1(X)))►R: WHILE ABS(XR)>1E10 REPEAT RUN “NEWTONLOOP” END: ERASE: DISP 2; “ROOT=”: DISP 3; R: DISP 5; “ITER=”: DISP 6; R: FREEZE: NEWTONLOOP PROGRAM R►X: XF(1)X/∂X(F1(X)))►R: N+1►N BEST! SlideRule 

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