syncfusion pdf viewer mvc : C# render pdf to image Library software API .net wpf web page sharepoint getstarted-555-part156

Combine 43
Combine
Inadditiontocombiningtheitemsinmathematicalexpressions,youcanusetheCom-
binecommandtodemonstratethelawsofexponentsandthepropertiesoflogarithms.
 Example e Combinesinxcosy+cosxsiny
Youdon'tneedtotypeanyspacesasyouenterthefunctions. Theprograminterprets
thetrigonometricfunctionsandformats theexpressioncorrectly. . Notethatbecause
AutomaticSubstitutionisonbydefault,thefunctionnamesaredisplayedingray.
1.Click
or,fromtheInsertmenu,chooseMathtostartmathematics.
2.Typesinxcosy+cosxsiny.
3.FromtheComputemenu,chooseCombine, andthenchooseTrigFunctions.This
istheresult:
sinxcosy+cosxsiny=sin(x+y)
 Example e Combinethepowersof10
x
10
y
1.Click
or,fromtheInsertmenu,chooseMathtostartmathematics.
2.Type10,click
,typex,andthenpressthespacebar.
3.Type10,click
,andtypey.
4.FromtheComputemenu,chooseCombine,andthenchoosePowers. Afterthe
calculationiscomplete,yourscreenshowsthisresult:
10
x
10
y
=10
x+y
Combinethetermsintheseexpressions
(e
x
)
y
sinxsiny
(2
x
)
y
Convert pdf pages to jpg online - Convert PDF to JPEG images in C#.net, ASP.NET MVC, WinForms, WPF project
How to convert PDF to JPEG using C#.NET PDF to JPEG conversion / converter library control SDK
convert pdf to jpg batch; change pdf into jpg
Convert pdf pages to jpg online - VB.NET PDF Convert to Jpeg SDK: Convert PDF to JPEG images in vb.net, ASP.NET MVC, WinForms, WPF project
Online Tutorial for PDF to JPEG (JPG) Conversion in VB.NET Image Application
convert pdf image to jpg image; changing file from pdf to jpg
44
Chapter3 ComputingandPlotting
Expand
YoucanexpandtheproductsorpowersofpolynomialswiththeExpandcommand.
 Example e Expand
18229
94
1.Click
.
2.Type18229,press
TAB
,andtype94.
3.Click
toobtainthisresult:
18229
94
=193
87
94
 Example e Expandsin2x
1.Click
or,fromtheInsertmenu,chooseMathtostartmathematics.
2.Typesin.
Theprogramautomaticallyrecognizesthetrigonometricfunctionanddisplaysiton
yourscreeningray.
3.Type2x.
4.Click
.Afterthecomputation,youseethisresult:
sin2x=2cosxsinx
Expandtheseexpressions
3x
2
+3x
3
sin(x+y)
3x
2
+3x
 
8x
2
+7
(x+y)
4
C# Image Convert: How to Convert Adobe PDF to Jpeg, Png, Bmp, &
C# sample code for PDF to jpg image conversion. This demo code convert PDF file all pages to jpg images. // Define input and output files path.
advanced pdf to jpg converter; convert pdf to jpg file
C# Image Convert: How to Convert Tiff Image to Jpeg, Png, Bmp, &
RasterEdge.XDoc.Office.Inner.Office03.dll. RasterEdge.XDoc.PDF.dll. This demo code convert TIFF file all pages to jpg images.
changing pdf to jpg; change pdf to jpg format
Simplify 45
Simplify
Youcanreduceexpressionstostandardform,collectingliketermsinadditionandcan-
celingcommonfactorsindivision.Whenpossible,thecomputationalengineperforms
indicatedoperationsexactlyorreducesthemtolower-leveloperations.
 Example e Simplify4a+7b (2a+b)
1.Click
or,fromtheInsertmenu,chooseMathtostartmathematics.
2.Type4a+7b-,click
,type2a+b,andclick
. Thecomputationalengine
returnsthisanswer:
4a+7b (2a+b)=2a+6b
 Example e Simplify
x
2
6x+
6
2
2
+
y
2
+10y
10
2
2
1.Entertherstexpression:
a.Click
,typex,click
,type2,andpressthespacebar.
b.Type-6x+,click
,andthenclick
.
c.Type-6,press
TAB
,type2,andpressthespacebartwice.
d.Click
,type2,andpressthespacebartwice.
2.Typethesecondexpression:
a.Type+,click
,typey,click
,type2,andpressthespacebar.
b.Type+10y,click
,andthenclick
.
c.Type10,press
TAB
,type2,pressthespacebartwice,click
,andtype2.
3.Click
.Thecomputationalenginesimpliesthemathematics:
x2 6x+
6
2
2
+
y2+10y
10
2
2
=x2 6x+y2+250y+9
Simplifytheseexpressions
3
p
8+3
sin
2
x+cos
2
x
Z
a
1
1
t
dt
14
5
9
C# Create PDF from images Library to convert Jpeg, png images to
Batch convert PDF documents from multiple image formats, including Jpg, Png, Bmp, Gif, Tiff, Bitmap, .NET Graphics, and REImage.
change pdf to jpg file; .pdf to .jpg online
VB.NET PDF Convert to Images SDK: Convert PDF to png, gif images
Resize converted image files in VB.NET. Convert PDF to Jpg, Png, Bmp, Gif, Tiff and Bitmap in ASP.NET. Embed PDF to image converter in viewer.
reader pdf to jpeg; .pdf to jpg
46
Chapter3 ComputingandPlotting
CheckEquality
Youcandeterminewhetheranequalityistrueorfalseorwhether,ifthetestisinconclu-
sive,theinequalitymaybetrueorfalse.
 Example e Checktheequality1+1=3
1.Click
or,fromtheInsertmenu,chooseMathtostartmathematics.
2.Type1+1=3.
3.FromtheComputemenu,chooseCheckEquality.Youseethisresult:
1+1=3isfalse
 Example e Checktheequality
9
8
8
9
=
9
8
8
9
1.Click
,type9,press
TAB
,type8,andpressthespacebar.
2.Type-,click
,type8,press
TAB
,type9,andpressthespacebar.
3.Type=,click
,select
,andchooseOK.
4.Typethetwofractionsagain.
5.FromtheCompute menu,chooseCheckEquality.Thisistheresult:
9
8
8
9
=
9
8
8
9
istrue
Checktheseequalities
e
i
= 1
=3:14
sin
2
x+cos
2
x=1
VB.NET PDF - Convert PDF with VB.NET WPF PDF Viewer
Create multiple pages Tiff file from PDF document. Convert PDF to image file formats with high quality, support converting PDF to PNG, JPG, BMP and GIF.
best convert pdf to jpg; convert online pdf to jpg
VB.NET Create PDF from images Library to convert Jpeg, png images
Components to batch convert PDF documents in Visual Basic .NET class. Support create PDF from multiple image formats in VB.NET, including Jpg, Png, Bmp, Gif
change pdf to jpg on; convert pdf file into jpg format
SolveExactandNumeric 47
SolveExactandNumeric
Aswithevaluation,whenyousolveanexpression,thecomputationalenginereturns
anexactorsymbolicanswerwheneverappropriate. YoucanusetheSolveNumeric
commandtoforceanumericalresultforanysolution.
Youcansolveequationswithoneormorevariables.Youcansolveinequalitieswith
SolveExact.Andyoucansolveasystemofequationsifyouplacetheequationsina
matrixcellandthenapplytheSolveExactcommandtothematrix.
 Example e SolveExact3x+55x 3
1.Click
or,fromtheInsertmenu,chooseMathtostartmathematics.
2.Type3x+5.
3.OntheSymbolCachetoolbar,click
.
4.Type5x-3.
5.Click
or,fromtheComputemenu,chooseSolve,andthenchooseExact.
Onyourscreen,youseethissolution:
3x+55x 3,Solutionis:[4;1)
 Example e SolveExact2x+3y=1
1.Click
or,fromtheInsertmenu,chooseMathtostartmathematics.
2.Type2x+3y=1. Rememberthatyoudon'tneedtoenteranyspaces;theprogram
spacestheexpressioncorrectly.
3.FromtheComputemenu,chooseSolve,andthenchooseExact.
4.IntheSolutionVariablesbox,enterxandchooseOK.Thecomputationalengine
presentsthissolution:
2x+3y=1,Solutionis:
1
2
3
2
y
C# PDF Convert to Tiff SDK: Convert PDF to tiff images in C#.net
Supports for changing image size. Also supports convert PDF files to jpg, jpeg images. C# class source codes and online demos are provided for .NET.
convert multiple pdf to jpg; change pdf to jpg online
C# TIFF: C#.NET Code to Convert JPEG Images to TIFF
Use C# Code to Convert Jpeg to Tiff. string[] imagePaths = { @"C:\demo1.jpg", @"C:\demo2.jpg", @"C:\demo3.jpg" }; // Construct List<REImage> object.
change format from pdf to jpg; changing pdf to jpg file
48
Chapter3 ComputingandPlotting
 Example e SolveNumericx2 2=0
1.Click
or,fromtheInsertmenu,chooseMathtostartmathematics.
2.Typex,click
,type2,andpressthespacebar.
3.Type-2=0.
4.FromtheComputemenu,chooseSolve,andthenchooseNumeric.Thecomputa-
tionalenginereturnsthisnumericsolution:
x
2
2=0,Solutionis:f[x= 1:4142];[x=1:4142]g
 Example e Solveasystemofequations
1.Click
or,fromtheInsertmenu,chooseMatrix.
2.Specify2rowsand1column,andthenchooseOK.
3.Type2x+3y=41andpress
TAB
.
4.Typex+y=146andpressthespacebar.Youseethismatrix:
2x+3y=41
x+y=146
5.FromtheComputemenu,chooseSolve,andthenchooseExact. Thecomputa-
tionalenginesolvesthesystemofequationsinthematrixanddisplaysthisresult:
2x+3y=41
x+y=146
,Solutionis:[x=397;y= 251]
Solvetheseexpressions
UseSolveExacttosolvetheserelations:
1
x
+
1
y
=1(forx)
x
2
5x+4=0
7 2x
x 2
0
2x+y=5
3x 7y=2
UseSolveNumerictosolvetheserelations:
16 7y=10y 4
x
5
5x
4
+3x+4=0
sinx=cosx
x2(9;12)
WorkwithPolynomials 49
WorkwithPolynomials
UsethecommandsonthePolynomialsandCalculussubmenustocollectandorder
thetermsinpolynomials,dividepolynomials,ndroots,andwritearationalexpression
asthesumofpartialfractions.
 Example e Collectthetermsin3x 7x2+8x 3+x5
1.Click
or,fromtheInsertmenu,chooseMathtostartmathematics.
2.Type3x-7x,click
,type2,andpressthespacebar.
3.Type+8x-3+x,click
,type5,andpressthespacebar.
4.FromtheComputemenu,choosePolynomials,andthenchooseCollect.
5.TypexintheNeedPolynomialVariabledialogboxandchooseOK.Thecompu-
tationalenginecollectsthetermsanddisplaysthisresult:
3x 7x
2
+8x 3+x
5
=x
5
7x
2
+11x 3
 Example e Orderthetermsin3xt
2
16t
5
+y+9 2xt
2
1.Click
or,fromtheInsertmenu,chooseMathtostartmathematics.
2.Type3xt,click
,type2,andpressthespacebar.
3.Type-16t,click
,type5,andpressthespacebar.
4.Type+y+9-2xt,click
,type2,andpressthespacebar.
5.FromtheComputemenu,choosePolynomials,andthenchooseSort.
6.TypetintheNeedPolynomialVariabledialogboxandchooseOK.Thecomputa-
tionalengineordersthetermsandthendisplaysthisresult:
3xt
2
16t
5
+y+9 2xt
2
= 16t
5
+t
2
x+y+9
 Example e Writethisexpressionasthesumofpartialfractions:
x
6
5x
4
+3x+4
(x2 2)(x+3)3
1.Click
.
2.Typex,click
,type6,andpressthespacebar.
3.Type-5x,click
,type4,andpressthespacebar.
50
Chapter3 ComputingandPlotting
4.Type+3x+4andpress
TAB
.
5.Click
,typex,click
,type2,andpressthespacebar.
6.Type-2andpressthespacebar.
7.Click
,typex+3,andpressthespacebar.
8.Click
andtype3.
9.FromtheComputemenu,chooseCalculus, andthenchoosePartialFractions.
Thecomputationalenginecomputesthepartialfractionandreturnsthisresult:
x
6
5x
4
+3x+4
(x2 2)(x+3)
3
=x+
367
343
534
343
x2 2
+
17126
343(x+3)
4491
49(x+3)
2
+
319
7(x+3)
3
9
 Example e Findtherootsoftheexpressionx
2
+4
1.Click
or,fromtheInsertmenu,chooseMathtostartmathematics.
2.Typex,click
,type2,pressthespacebar,andtype+4.
3.From theComputemenu, , choosePolynomials, andthenchoose e Roots. . Your
screenshowsthisresult:
x
2
+4,roots:
2i
2i
Trytheseexerciseswithpolynomials
Collectthetermsintheseexpressions:
5t
2
+2t 16t
5
+t
3
2t
2
+9
x
2
+y+5 3x
3
y+5x
2
+4y
3
+13+2x
4
(Usethevariablex)
Orderthetermsintheseexpressions:
3x 7x
2
+8x 3+x
5
x
2
+y+5 3x
3
y+5x
2
+4y
3
+13+2x
4
(Usethevariablex)
Dividethesepolynomials:
x5 5x4+3x+4
x2 2
3x
2
+3x
(8x2+7)
Findtherootsoftheseexpressions:
x
3
2x 2x
2
+4
x
3
13
5
ix
2
8x
2
+
29
5
ix+
81
5
x+6i 
18
5
Create2Dand3DPlots 51
Create2Dand3DPlots
InSWPandSNB,youcancreate2-dimensionaland3-dimensionalplotsofpolynomi-
als,trigonometricfunctions,andexponentials.
 Example e Plotx2
1.Click
or,fromtheInsertmenu,chooseMath,thentypex,click
,and
type2.
2.Click
or,fromtheComputemenu,choosePlot2DandthenchooseRec-
tangular.Thecomputationalengineplotstheexpressionx
2
:
-5
-4
-3
-2
-1
0
1
2
3
4
5
2
4
6
8
10
12
14
16
18
20
22
24
x
y
3.Addtotheplot:
a.Press
ENTER
tostartanewlineandthenstartmathematics.
b.Typex,click
,andtype3.
c.Selecttheexpressionx
3
anddragitontotheplot. Thecomputationalenginere-
plots,addingthenewfunction:
-5
-4
-3
-2
-1
1
2
3
4
5
-120
-100
-80
-60
-40
-20
20
40
60
80
100
120
x
y
-0.7
-0.6
-0.5
-0.4
-0.3
-0.2
-0.1
0.1
0.2
0.3
0.4
0.5
0.6
0.7
-0.6
-0.4
-0.2
0.2
0.4
0.6
x
y
 Example e Plotlnx
1.Click
or,fromtheInsertmenu,chooseMath,thentypelnx.
2.Click
or,fromtheComputemenu,choosePlot2DandthenchooseRec-
tangular.Thecomputationalengineplotstheexpression:
1
2
3
4
5
-0.8
-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
x
y
Documents you may be interested
Documents you may be interested