[General]
FileFormatVersion=1.0.278
PointCount=12
FigureCount=12
LabelCount=9
WatchExpressionCount=0
StaticGraphicCount=0
ButtonCount=0
LocusCount=2
PaperColor1=16777215
PaperColor2=16768477
AxesColor=16756398
GridColor=15132410
GradientPaper=False
ShowAxes=True
ShowGrid=True
Description=
Window=790x474
WorkArea=(-5.20225605232949,-7.16565610726253,22.8673222376335,9.66186040877359)
DemoInterval=1000

[Point1]
Enabled=False
FillColor=16775930
FillStyle=0
ForeColor=0
Hide=True
Name=A
NameColor=0
PhysicalWidth=8
Shape=3
ShowName=True
Tag=
Type=0
X=-4
Y=0
ZOrder=1

[Point2]
Enabled=False
FillColor=16775930
FillStyle=0
ForeColor=0
Hide=True
Name=B
NameColor=0
PhysicalWidth=8
Shape=3
ShowName=True
Tag=
Type=0
X=4
Y=0
ZOrder=2

[Point3]
Enabled=False
FillColor=16775930
FillStyle=0
ForeColor=0
Hide=True
Name=C
NameColor=0
PhysicalWidth=8
Shape=3
ShowName=True
Tag=
Type=0
X=-5.64886
Y=-1.468439
ZOrder=3

[Point4]
Enabled=False
FillColor=16775930
FillStyle=0
ForeColor=0
Hide=True
Name=D
NameColor=0
PhysicalWidth=8
Shape=3
ShowName=True
Tag=
Type=0
X=3.082399
Y=-1.468439
ZOrder=4

[Point5]
Enabled=False
FillColor=16775930
FillStyle=0
ForeColor=16711935
Hide=True
Name=E
NameColor=0
ParentFigure=9
PhysicalWidth=8
Shape=3
ShowName=True
Tag=
Type=14
X=-3.798099
Y=-1.468439
ZOrder=5

[Point6]
FillColor=16775930
FillStyle=0
ForeColor=2971904
Name=F
NameColor=0
ParentFigure=8
PhysicalWidth=6
Shape=1
ShowName=False
Tag=
Type=14
X=-2.320588
Y=-1.468439
ZOrder=6

[Point7]
Enabled=False
FillColor=16775930
FillStyle=0
ForeColor=16711935
Hide=True
Name=G
NameColor=0
ParentFigure=3
PhysicalWidth=8
Shape=3
ShowName=True
Tag=
Type=14
X=.886355
Y=0
ZOrder=7

[Point8]
Enabled=False
FillColor=16775930
FillStyle=0
ForeColor=255
Hide=True
Locus=1
Name=a^
NameColor=255
ParentFigure=4
PhysicalWidth=8
Shape=3
ShowName=True
Tag=
Type=22
X=.886355
Y=1.413398
ZOrder=8

[Point9]
Enabled=False
FillColor=16775930
FillStyle=0
ForeColor=16711680
Hide=True
Locus=2
Name=I
NameColor=16711680
ParentFigure=5
PhysicalWidth=8
Shape=3
ShowName=True
Tag=
Type=22
X=.886355
Y=.551732
ZOrder=9

[Point10]
FillColor=16775930
FillStyle=0
ForeColor=255
LabelOffsetX=-29
LabelOffsetY=2
Name=a^x
NameColor=255
ParentFigure=10
PhysicalWidth=8
Shape=3
ShowName=True
Tag=
Type=14
X=1.866667
Y=2.072323
ZOrder=10

[Point11]
FillColor=16775930
FillStyle=0
ForeColor=16744576
LabelOffsetX=-14
LabelOffsetY=0
Name=1
NameColor=16744576
PhysicalWidth=2
Shape=3
ShowName=True
Tag=
Type=0
X=0
Y=1
ZOrder=11

[Point12]
FillColor=16775930
FillStyle=0
ForeColor=14483456
LabelOffsetX=42
LabelOffsetY=15
Name=(a^x)'
NameColor=14483456
ParentFigure=11
PhysicalWidth=8
Shape=3
ShowName=True
Type=14
X=2.76
Y=1.146486
ZOrder=12
[Misc]
AltP=False

[Figure0]
DrawWidth=1
FigureName=Відрізок1
FigureType=1
FigureTypeString=Segment
ForeColor=16744576
NumberOfChildren=1
NumberOfPoints=2
ZOrder=0
Children0=3
Points0=1
Points1=2
AuxPoints(1).X=33.793882312338
AuxPoints(1).Y=271.58255759219
AuxPoints(2).X=258.663666061708
AuxPoints(2).Y=271.58255759219

[Figure1]
DrawWidth=1
FigureName=Пряма1
FigureType=3
FigureTypeString=Line
ForeColor=0
NumberOfChildren=2
NumberOfPoints=2
Hide=True
ZOrder=1
Children0=8
Children1=9
Points0=3
Points1=4
AuxPoints(1).X=789
AuxPoints(1).Y=312.858502639583
AuxPoints(2).X=-1.51406664983256E-14
AuxPoints(2).Y=312.858502639583

[Figure2]
DrawWidth=2
FigureName=Відрізок2
FigureType=1
FigureTypeString=Segment
ForeColor=2455583
NumberOfChildren=0
NumberOfPoints=2
ZOrder=2
Points0=5
Points1=6
AuxPoints(1).X=39.4690615884357
AuxPoints(1).Y=312.858502639583
AuxPoints(2).X=81.0000089706001
AuxPoints(2).Y=312.858502639583

[Figure3]
FigureName=Точка фігури1
FigureType=14
FigureTypeString=Point on figure
NumberOfChildren=0
NumberOfPoints=1
Parents0=0
Points0=7
AuxInfo(1)=.610794343054295
AuxPoints(1).X=171.143074150296
AuxPoints(1).Y=271.58255759219

[Figure4]
FigureName=Аналiтична точка1
FigureType=22
FigureTypeString=Analytic point
NumberOfChildren=0
NumberOfPoints=3
XS=G.X
YS=(DIST(E, F)) ^ (G.X)
Points0=8
Points1=7
Points2=5
AuxPoints(1).X=.886355
AuxPoints(1).Y=1.41339777683292

[Figure5]
FigureName=Аналiтична точка2
FigureType=22
FigureTypeString=Analytic point
NumberOfChildren=0
NumberOfPoints=3
XS=G.X
YS=((DIST(E, F)) ^ (G.X)) * (LN(DIST(E, F)))
Points0=9
Points1=7
Points2=5
AuxPoints(1).X=.886355
AuxPoints(1).Y=.551732423022053

[Figure6]
FigureName=Динамiчний слiд1
FigureType=23
FigureTypeString=Dynamic locus
NumberOfChildren=1
NumberOfPoints=2
Children0=10
Points0=8
Points1=7
AuxInfo(1)=2
AuxInfo(3)=1

[Figure7]
FigureName=Динамiчний слiд2
FigureType=23
FigureTypeString=Dynamic locus
NumberOfChildren=1
NumberOfPoints=2
Children0=11
Points0=9
Points1=7
AuxInfo(1)=2
AuxInfo(3)=1

[Figure8]
FigureName=Точка фігури2
FigureType=14
FigureTypeString=Point on figure
NumberOfChildren=0
NumberOfPoints=1
Parents0=1
Points0=6
AuxInfo(1)=.381190347200098
AuxPoints(1).X=75.2043924971916
AuxPoints(1).Y=312.858502639583
AuxInfo(5)=1

[Figure9]
FigureName=Точка фігури3
FigureType=14
FigureTypeString=Point on figure
NumberOfChildren=0
NumberOfPoints=1
Parents0=1
Points0=5
AuxInfo(1)=.211969583873036
AuxPoints(1).X=39.469071058762
AuxPoints(1).Y=312.858502639583
AuxInfo(5)=1

[Figure10]
FigureName=Точка фігури4
FigureType=14
FigureTypeString=Point on figure
NumberOfChildren=0
NumberOfPoints=1
Parents0=6
Points0=10
AuxInfo(1)=.733333333333333
AuxPoints(1).X=198.698399764784
AuxPoints(1).Y=213.332204483584

[Figure11]
FigureName=Точка фігури7
FigureType=14
FigureTypeString=Point on figure
NumberOfChildren=0
NumberOfPoints=1
Parents0=7
Points0=12
AuxInfo(1)=.845
AuxPoints(1).X=223.808849580556
AuxPoints(1).Y=239.35630023073

[Label1]
Caption=a=[DIST(E, F)]
Charset=204
FontName=Arial
FontSize=14
FontBold=True
ForeColor=2455583
BackColor=16777215
X=-3.49250342785655
Y=-.608542263944702

[Label2]
Caption=Task:
Charset=204
FontName=Arial
FontSize=14
FontBold=True
ForeColor=14483456
BackColor=16777215
X=12.7729866475005
Y=9.1003437365529

[Label3]
Caption=Research the geometric contents of transformation a ~~graphics to functions y=a^x when the parameter a changes.~~Understand the location of function y=a^x ~~plot and the plot of its derivative y=(a^x)'.
Charset=204
FontName=Arial
FontSize=12
ForeColor=14483456
BackColor=16777215
X=8.03612531161758
Y=8.3335284021633

[Label4]
Caption=Parameters of research:
Charset=204
FontName=Arial
FontSize=14
FontBold=True
ForeColor=2455583
BackColor=16777215
X=10.8365567792208
Y=5.41452134234665

[Label5]
Caption=a=[DIST(E, F)]~~
Charset=204
FontName=Arial
FontSize=14
ForeColor=2455583
BackColor=16777215
X=8.1975789511746
Y=4.56326189802876

[Label6]
Caption=f(a)=[(DIST(E, F)) ^ (G.X)]~~f '(a)=[((DIST(E, F)) ^ (G.X)) * (LN(DIST(E, F)))]
Charset=204
FontName=Arial
FontSize=14
ForeColor=240
BackColor=16777215
X=8.31330220161157
Y=-4.76110670327496

[Label7]
Caption=Results of research:
Charset=204
FontName=Arial
FontSize=14
FontBold=True
ForeColor=240
BackColor=16777215
X=10.6508910572973
Y=-3.84773324057311

[Label8]
Caption=Research:
Charset=204
FontName=Arial
FontSize=14
FontBold=True
ForeColor=2455583
BackColor=16777215
X=12.4618872312154
Y=3.65125358366821

[Label9]
Caption=1. Install the dependency of location a graphics given ~~    functions y=а^х, changing positions of parameter a.~~2. Formulate the findings.~~3. For got dynamic synopsis find the dependency between ~~    parameter a and graphsof the given functions.~~4. The open regularity to check under other importances ~~    of parameter a.~~5. Prove deductive worded hypothesis (or refuse it by ~~    means of built checking example).~~6. Answer the question of study and formulate the findings.
Charset=204
FontName=Arial
FontSize=12
ForeColor=2455583
BackColor=16777215
Transparent=False
X=7.59354911965781
Y=2.83104444530796

[Locus1]
DrawWidth=2
Dynamic=True
Enabled=True
ForeColor=255
LocusPointCount=2000
ParentPoint=8
ParentFigure=6
Type=0
Visible=True

[Locus2]
DrawWidth=2
Dynamic=True
Enabled=True
ForeColor=16711680
LocusPointCount=2000
ParentPoint=9
ParentFigure=7
Type=0
Visible=True

