akcs.ezsoft@hpcvbbs.UUCP (raymond la barbera) (04/06/91)
The E.Z. Math Graph Module
The E.Z. Math Graph Module is the most important section of E.Z.
Math, comprising over 40% of the program and manual. The Graph Module
covers the entire high school and college graphing curriculum,
from algebra through calculus. It allows the student to select
from 188 families of equations, inequalities, functions,
systems of equations and systems of inequalities arranged in an
easy-to-use, logically organized system of menus, making graphs quick
and easy to create and to analyze.
Below is a complete list of the 188 families included in the
E.Z. Math Graph Module. We invite your comments and suggestions,
especially concerning families you'd like to have included in
future versions of E.Z. Math.
Polynomial
1 Y=aX+b
2 Y=aX^2+bX+c
3 Y=aX^3+bX^2+cX+d
4 Y=aX^4+bX^3+cX^2+dX+e
5 Y=aX^5+bX^4+cX^3+dx2+eX+f
6 Y=aX^6+bX^5+...+fX+g
7 Y=aX^7+bX^6+...+gX+h
8 Y=aX^8+bX^7+...+hX+i
9 Y=aX^9+bX^8+...+iX+j
10 Y=aX^10+bX^9+...+k
11 Y=(aX+b)(cX+d)
12 Y=(aX+b)(cX+d)(eX+f)
13 Y=(aX+b)(cX+d)(eX+f)(gX+h)
14 Y=(aX+b)(cX+d)(eX+f)(gX+h)(iX+j)
15 Y=(aX+b)(cX+d)(eX+f)(gX+h)(iX+j)(kX+l)
16 Y=ABS(aX+b)
17 Y=ABS(aX^2+bX+c)
18 Y=ABS(aX^3+bX^2+cX+d)
19 Y=ABS(aX^4+...+dX+e)
20 Y=ABS(aX^5+...+eX+f)
21 Y=ABS(aX^6+...+fX+g)
22 Y=ABS(aX^7+...+gX+h)
23 Y=ABS(aX^8+...+hX+i)
24 Y=ABS(aX^9+...+iX+j)
25 Y=ABS(aX^10+..+jX+k)
26 Y=ABS[(aX+b)(cX+d)]
27 Y=ABS[(aX+b)(cX+d)(eX+f)]
28 Y=ABS[(aX+b)(cX+d)(eX+f)(gX+h)]
Inequality
1 Y<aX+b
2 Y>aX+b
3 aX+bY<c
4 aX+bY>c
5 Y<aX^2+bX+c
6 Y>aX^2+bX+c
7 Y<aX+b Y<cX=d
8 Y<aX+b Y>cX+d
9 Y>aX+b Y>cX+d
10 Y<aX+b Y<cX+d Y<eX+f
11 Y<aX+b Y<cX+d Y>eX+f
12 Y<aX+b Y>cX+d Y>eX+f
13 Y>aX+b Y>cX+d Y>eX+f
14 Y<aX+b Y<cX+d Y<eX+f Y<gX+h
15 Y<aX+b Y<cX+d Y<eX+f Y>gX+h
16 Y<aX+b Y<cX+d Y>eX+f Y>gX+h
17 Y<aX+b Y>cX+d Y>eX+f Y>gX+h
18 Y>aX+b Y>cX+d Y>eX+f Y>gX+h
19 (X-a)^2+(Y-b)^2<c^2
20 Y<aSIN(bX) Y>cCOS(dX)
21 aABS(bX)+cABS(dY)<e
Hyperbolic
1 Y=aSINH(bX)
2 Y=aCOSH(bX)
3 Y=aTANH(bX)
4 Y=aCOTH(bX)
5 Y=aSECH(bX)
6 Y=aCSCH(bX)
7 Y=aASINH(bX)
8 Y=aACOSH(bX)
9 Y=aATANH(bX)
10 Y=aACOTH(bX)
11 Y=aASECH(bX)
12 Y=aACSCH(bX)
13 Y=aSINH(bX)+cCOSH(dX)
14 Y=aSINH(bX^2+cX+d)
Rational
1 Y=(aX+b)/(cX+d)
2 Y=(aX^2+bX+c)/(dX^2+eX+f)
3 Y=[(aX+b)(cX+d)]/[(eX+f)(gX+h)]
4 Y=(aX^2+bX+c)/(dX+e)
5 Y=[(aX+b)(cX^2+dX+e)]/[(fX+g)(hX^2+gX+h)]
6 Y=[(aX+b)^c*(dX+e)^f]/[(gX+h)^i*(jX+k)^l]
7 Y=(aX+b)/(cX^2+dX+e)
8 Y=[(aX^2+bX+c)^d*(eX^2+fX+g)^h]/[(iX^2+jX+k)^l*(mX^2+nX+o)^p]
9 Y=(aX+b)^c/(dX+e)^f
10 Y=(aX^2+bX+c)^d/(eX^2+fX+g)^h
11 Y=[(aX+b)(cX+d)(eX+f)]/[(gX+h)(iX+j)(kX+l)]
Parametric
1 X=aT+b
Y=cT+d
2 X=aT^2+bT+c
Y=dT^2+eT+f
3 X=aT^3+bT^2+cT+d
Y=eT^3+fT^2+gT+h
4 X=(aT+b)/(cT+d)
Y=(eT+f)/(gT+h)
5 X=[(aT+b)(cT+d)]/[(eT+f)(gT+h)]
Y=[(iT+j)(kT+l)]/[(mT+n)(oT+p)]
6 X=aSIN(T)
Y=bCOS(T)
7 X=aSIN(T)
Y=bTAN(T)
8 X=a+bSIN(cT)
Y=d+eCOS(fT)
9 X=aTSIN(bT)
Y=cTCOS(dT)
10 X=aSIN(bT)
Y=cCOS(dT)
11 X=aSIN(T)+bCOS(T)
Y=cSIN(T)+dCOS(T)
12 X=aSIN(bT)+cCOS(dT)
Y=eSIN(fT)+gCOS(hT)
13 X=a[SIN(bT)]^c
Y=d[COS(eT)]^f
14 X=a[T-SIN(T)]
Y=a[1-COS(T)]
15 X=(aT^2+bT+c)SIN(dT)
Y=(eT^2+fT+g)COS(hT)
16 X=(aT^3+bT^2+cT+d)/(eT^3+fT^2+gT+h)
Y=iT^3+jT^2+kT+l
17 X=(aT^3+bT^2+cT+d)/(eT^3+fT^2+gT+h)
Y=i[SIN(jT)]^k
18 X=aASIN(bT)
Y=cACOS(dT)
19 X=(aX+b)/(cX+d)SIN(eT)
Y=(fT+g)/(hT+i)COS(jT)
Systems
1 Y=aX+b
Y=cX+d
2 aX+bY=c
dX+eY=f
3 Y=aX+b
cX+dY=e
4 Y=aX^2+bX+c
Y=dX+e
5 Y=aX^2+bX+c
dX+eY=f
6 Y=aX^2+bX+c
Y=dX^2+eX+f
7 Y=aX+b
(X-c)(Y-d)=e
8 aX+bY=c
(X-d)(Y-e)=f
9 Y=aSIN(bX)
Y=cCOS(dX)
10 Y=aX^3+bX^2+cX+d
Y=eX^3+fX^2+gX+h
11 Y=aTAN(bX)
Y=cCOT(dX)
12 Y=aSIN(bX)+cCOS(dX)
Y=eSIN(fX)+gCOS(hX)
13 Y=aX+b
Y=cSIN(dX)+eCOSfX)
14 Y=aX^2+bX+c
Y=dSIN(eX)+fCOS(gX)
15 Y=aX+b
Y=cASIN(dX)
Conic
1 X^2+Y^2=a^2
2 (X-a)^2+(Y-b)^2=c^2
3 X^2/a^2+Y^2/b^2=1
4 (X-a)^2/c^2+(Y-b)^2/d^2=1
5 (X-a)^2=2c(Y-b)
6 (Y-a)^2=2c(X-b)
7 Y=aX^2+bX+c
8 X=aY^2+bY+c
9 X^2/a^2-Y^2/b^2=1
10 Y^2/a^2-X^2/b^2=1
11 (X-a)2/c^2-(Y-b)^2/d^2=1
12 (Y-a)2/c2-(X-b)^2/d^2=1
13 XY=a
14 (X-a)(Y-b)=c
15 aX^2+bXY+cY^2+dX+eY+f=0
Polar
1 R=a
2 R=2aSIN(X)
3 R=2aCOS(X)
4 R=a/[1-bSIN(X)]
5 R=a/[1-bCOS(X)]
6 R=a/[bSIN(X)-cCOS(X)]
7 R=aSIN(bX)-cCOS(dX)
8 R=aSIN(bX)
9 R=aCOS(bX)
10 R^2=a^2*SIN(bX)
11 R=a[1-COS(X)]
12 R=a-bCOS(X)
13 R=a[1-COS(bX)]
14 R=a-bSIN(cX)
15 R=a-bCOS(cX)
16 R=aX
17 R=e^(aX)
18 R=a/X
19 R=[aSIN(bX)+cCOS(dX)]/[eSIN(fX)+gCOS(hX)]
20 R=aX+b
21 R=aX^2+bX+c
22 R=aX^3+bX^2+cX+d
23 R=(aX+b)(cX+d)
24 R=(aX+b)/(cX+d)
Log
1 Y=aLOG(bX)
2 Y=aLN(bX)
3 Y=aLOG(bX+c)
4 Y=aLOG(bX^2+cX+d)
5 Y=aLOG(bX^3+cX^2+dX+e)
6 Y=aLOG[SIN(bX)]
7 Y=aSIN[LOG(bX)]
8 Y=a^(bX+c)
9 Y=a^(bX^2+cX+d)
10 Y=a^(bX^3+cX^2+dX+e)
11 Y=X^(aX+b)
12 Y=X^(aX^2+bX+c)
13 Y=X^[aSIN(bX)]
14 Y=X^[aSIN(bX)+cCOS(dX)]
15 Y=X^[(aX+b)/(cX+d)]
Trig
1 Y=aSIN(bX)
2 Y=aCOS(bX)
3 Y=aTAN(bX)
4 Y=aCOT(bX)
5 Y=aSEC(bX)
6 Y=aCSC(bX)
7 Y=aASIN(bX)
8 Y=aACOS(bX)
9 Y=aATAN(bX)
10 Y=aACOT(bX)
11 Y=aSIN(bX)+cCOS(dX)
12 Y=aTAN(bX)+cCOT(dX)
13 Y=aSEC(bX)+cCSC(dX)
14 Y=[aSIN(bX)+cCOS(dX)]/[eSIN(fX)+gCOS(hX)]
15 Y=bSIN(aX)+c
16 Y=bSIN(aX)^2+cSIN(aX)+d
17 Y=bSIN(aX)^3+cSIN(aX)^2+dSIN(aX)+e
18 Y=SIN(aX+b)
19 Y=SIN(aX^2+bX+c)
20 Y=SIN(aX^3+bX^2+cX+d)
21 Y=aSIN(dX)^2+bSIN(dX)COS(eX)+cCOS(eX)^2
22 Y=[aSIN(bX)+cCOS(dX)]^e
23 Y=aSIN(X^2)+bSIN(X)+c
24 Y=aSIN(X^3)+bSIN(X^2)+cSIN(X)+d
25 Y=aSIN(X^2)+bSIN(X)COS(X)+cCOS(X^2)+f=0kenr@peabody.iusb.indiana.edu (Ken Rawlings) (04/07/91)
By the way, is anyone working on a card with a large table of integrals
to facilitate non-trivial integration? This is a card I would snap up in a
minute.....
_Ken
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Ken Rawlings / kenr@peabody.iusb.indiana.edu / Indiana University, South Bend
My life is Chemistry. Chemistry is Hell. Draw your own conclusions.
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