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.