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
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