maple-3

3
(3) (3) O O (4) (4) O O O O (1) (1) (2) (2) (5) (5) O O O O O O O O p:=interp([1,2,3,4,5,6,7,8,9,10],[1.3,3.5,4.2,5.0,7.0,8.8,10.1, 12.5,13.0,15.6],x); p := 0.00007164903227 x 9 K0.003127480266 x 8 C0.05718584874 x 7 K0.5698264133 x 6 C 3.378032576 x 5 K 12.26852504 x 4 C 27.40284704 x 3 K 37.40852517 x 2 C 31.31186805 x K10.60000106 plot({p},x=1..10); x 1 2 3 4 5 6 7 8 9 10 2 4 6 8 10 12 14 p:=interp([2,2.5,4],[0.5,0.4,0.25],x); p := 0.05000000000 x 2 K0.4250000000 x C 1.150000000 evalf(subs(x=3,p)); 0.3250000000 restart:with(stats): xvals:=[0,0.25,0.5,0.75,1]; xvals := 0, 0.25, 0.5, 0.75, 1 yvals:=[1,1.284,1.6487,2.117,2.7183]; yvals := 1, 1.284, 1.6487, 2.117, 2.7183

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DESCRIPTION

Maple program codes.

TRANSCRIPT

Page 1: maple-3

(3)(3)

O O

(4)(4)

O O

O O

(1)(1)

(2)(2)

(5)(5)

O O

O O

O O

O O

p:=interp([1,2,3,4,5,6,7,8,9,10],[1.3,3.5,4.2,5.0,7.0,8.8,10.1,12.5,13.0,15.6],x);

p := 0.00007164903227 x9K0.003127480266 x8C0.05718584874 x7K0.5698264133 x6

C3.378032576 x5K12.26852504 x4C27.40284704 x3K37.40852517 x2

C31.31186805 xK10.60000106

plot({p},x=1..10);

x1 2 3 4 5 6 7 8 9 10

2

4

6

8

10

12

14

p:=interp([2,2.5,4],[0.5,0.4,0.25],x);p := 0.05000000000 x2K0.4250000000 xC1.150000000

evalf(subs(x=3,p));0.3250000000

restart:with(stats):

xvals:=[0,0.25,0.5,0.75,1];xvals := 0, 0.25, 0.5, 0.75, 1

yvals:=[1,1.284,1.6487,2.117,2.7183];yvals := 1, 1.284, 1.6487, 2.117, 2.7183

Page 2: maple-3

(21)(21)

O O

(13)(13)

O O

O O

(22)(22)

O O

O O

O O

O O

(16)(16)

O O

O O

O O

(17)(17)

(7)(7)

O O

O O

(10)(10)

(19)(19)

(11)(11)

O O

(9)(9)

O O

O O (20)(20)

O O

(12)(12)

(8)(8)

(18)(18)

(15)(15)

(6)(6)

(14)(14)

O O

O O

O O

O O

O O

z:=fit[leastsquare[[x,y],y=a*x^2+b*x+c,{a,b,c}]]([xvals,yvals]);z := y = 0.8436571429 x2C0.8641828571 xC1.005137143

evalf(subs(x=1.7,z));y = 4.912417143

restart:with(stats):

xvals:=[1,2,3,4,5,6,7,8,9,10];xvals := 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

yvals:=[1.3,3.5,4.2,5.0,7.0,8.8,10.1,12.5,13.0,15.6];yvals := 1.3, 3.5, 4.2, 5.0, 7.0, 8.8, 10.1, 12.5, 13.0, 15.6

z:=fit[leastsquare[[x,y],y=a*x+b,{a,b}]]([xvals,yvals]);z := y = 1.538181818 xK0.3600000000

evalf(subs(x=1.7,z));y = 2.254909091

restart:with(stats):

xvals:=[2,2.5,4];xvals := 2, 2.5, 4

yvals:=[0.5,0.4,0.25];yvals := 0.5, 0.4, 0.25

z:=fit[leastsquare[[x,y],y=a*x+b,{a,b}]]([xvals,yvals]);z := y =K0.1192307692 xC0.7211538462

evalf(subs(x=3,z));y = 0.3634615386

restart:with(stats):

xvals:=[2,2.5,4];xvals := 2, 2.5, 4

yvals:=[0.5,0.4,0.25];yvals := 0.5, 0.4, 0.25

z:=fit[leastsquare[[x,y],y=a*x^2+b*x+c,{a,b,c}]]([xvals,yvals]);z := y = 0.05000000000 x2K0.4250000000 xC1.150000000

evalf(subs(x=3,z));y = 0.3250000000

restart:with(stats):

xvals:=[2,2.5,4];xvals := 2, 2.5, 4

yvals:=[0.5,0.4,0.25];yvals := 0.5, 0.4, 0.25

z:=fit[leastsquare[[x,y],y=a*x^3+b*x^2+c*x+d,{a,b,c,d}]]([xvals,yvals]);

z := y = a x3C 0.05000000000K8.500000000 a x2C K0.4250000000C23. a x

Page 3: maple-3

(23)(23)O O

C1.150000000K20. a

evalf(subs(x=3,z));y =K0.50000000 aC0.3250000000