Sunday, May 16, 2021

TI-NSpire CX II and TI-84 Plus CE: Enhanced Graphing Table

TI-NSpire CX II and TI-84 Plus CE:  Enhanced Graphing Table


Introduction


The program TABLEYX allows the user to enter a function, not only store it for graphing, but also display an analytic table.  Results are stored in lists so they can be used for further analysis.  


Both the TI-NSpire CX II (.tns) and TI-84 Plus CE (.8xp) version can be downloaded here.


TI-NSpire CX Version






Table of contents:

1.1  The Notes Page 

1.2  Calc Page:  run tableyx() here

1.3  Graph Page:  it should update automatically each time tableyx() is run

14.  Table Page:  updates when tableyx() is executed

1.5  Program Listing


Lists:

xlist:  x coordinates

ylist:  y(x)

dislist:  Euclidean distance from (0,0) to (x,y)

arclist:  Arclength of y(x) from 0 to x

derlist:  Derivative at (x,y)

intlist:  Integral of y(x) from 0 to x


Program:


Define tableyx()=

Prgm

:© set approximate mode

:setMode(5,2)

:© main program

:Request "y(x)? ",y(x)

:Request "Δx? ",dx

:Request "Number of steps? ",n

:seq(i,i,0,dx*n,dx)→xlist

:seq(y(i),i,0,dx*n,dx)→ylist

:seq(∫(y(x),x,0,i),i,0,dx*n,dx)→intlist

:seq(nDerivative(y(x),x=i),i,0,dx*n,dx)→derlist

:seq(approx(arcLen(y(x),x,0,i)),i,0,dx*n,dx)→arclist

:√(xlist^(2)+ylist^(2))→dislist

:Disp "Done.  See the next page for results."

:EndPrgm


TI-84 Plus CE Version


When the program ends:


Press [ graph ] to see the graph.


Press [ stats ], select Edit... to see the lists in a list editing format.


Lists:

L1:  x coordinates

L2:  y(x)

L3:  Euclidean distance from (0,0) to (x,y)

L4:  Derivative at (x,y)

L5:  Integral of y(x) from 0 to x


Program:


Float

Radian

Input "Y(X)=",Str1

String>Equ(Str1,Y₁)

Input "CHG X? ",D

Input "NO OF STEPS? ",N

seq(I,I,0,D*N,D)→L₁

seq(Y₁(I),I,0,D*N,D)→L₂

√(L₁²+L₂²)→L₃

seq(nDeriv(Y₁(X),X,I),I,0,D*N,D)→L₄

seq(fnInt(Y₁(X),X,0,I),I,0,D*N,D)→L₅

ClrHome

Disp "RESULTS","L₁: X","L₂: Y","L₃: DIST FROM (0,0)","L₄: D/DX Y(X)","L₅: INTEGRAL FROM X=0","PRESS STAT, EDIT"

Pause 

SetUpEditor L₁,L₂,L₃,L₄,L₅



Eddie


All original content copyright, © 2011-2021.  Edward Shore.   Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited.  This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author. 



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