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ANSWERS TO SUPPLEMENTARY PROBLEMS in Visual Studio .NET
ANSWERS TO SUPPLEMENTARY PROBLEMS QR Reader In VS .NET Using Barcode Control SDK for VS .NET Control to generate, create, read, scan barcode image in .NET applications. Create QR Code In .NET Framework Using Barcode encoder for .NET Control to generate, create QR Code image in Visual Studio .NET applications. Fig. A-9 Recognize QR Code In VS .NET Using Barcode reader for Visual Studio .NET Control to read, scan read, scan image in VS .NET applications. Bar Code Drawer In VS .NET Using Barcode maker for .NET framework Control to generate, create barcode image in Visual Studio .NET applications. 12.19 (a) 1, 3, 3; (b) y = 4x 12; (c) (2, 15), ( 2, 5), or
Scanning Bar Code In VS .NET Using Barcode scanner for Visual Studio .NET Control to read, scan read, scan image in VS .NET applications. QR Code Maker In Visual C#.NET Using Barcode generation for .NET Control to generate, create QR Code ISO/IEC18004 image in .NET applications. 11 1105 , . 2 8 QR Code Printer In .NET Framework Using Barcode printer for ASP.NET Control to generate, create QR Code JIS X 0510 image in ASP.NET applications. Encode QR Code ISO/IEC18004 In VB.NET Using Barcode creation for .NET framework Control to generate, create QR Code ISO/IEC18004 image in .NET framework applications. 7 1 5 214 12.20 (a) 3, ; (b) y = x + 63; (c) (3, 0) and , 5 . 3 15 9 3 12.22 (a) Yes; (b) yes; (c) no; (d) no. 10 ; (b) no. 3 1 12.24 . 2 x( x 1)2 Generate UCC.EAN - 128 In .NET Framework Using Barcode encoder for Visual Studio .NET Control to generate, create GTIN - 128 image in .NET framework applications. Drawing Barcode In Visual Studio .NET Using Barcode encoder for .NET framework Control to generate, create barcode image in Visual Studio .NET applications. 12.23 (a) Paint Bar Code In VS .NET Using Barcode printer for .NET framework Control to generate, create bar code image in .NET applications. EAN 8 Creator In .NET Framework Using Barcode creation for .NET framework Control to generate, create EAN-8 Supplement 5 Add-On image in Visual Studio .NET applications. 13.6 (a) (x 100 + 2x 50 3)(56x 7 + 20) + (7x 8 + 20x + 5)(100x 99 + 100x 49 ); (b) x 2 + 8x + 3 (x + 4)(2x) (x 2 3) = ; 2 (x + 4) (x + 4)2 Code 128 Recognizer In C# Using Barcode scanner for .NET framework Control to read, scan read, scan image in Visual Studio .NET applications. Read UPC-A In Java Using Barcode decoder for Java Control to read, scan read, scan image in Java applications. ANSWERS TO SUPPLEMENTARY PROBLEMS
EAN13 Generator In None Using Barcode drawer for Online Control to generate, create EAN13 image in Online applications. UCC - 12 Creator In Visual Basic .NET Using Barcode encoder for .NET framework Control to generate, create GS1 128 image in .NET applications. [ANS.
Data Matrix Printer In Java Using Barcode creator for Android Control to generate, create DataMatrix image in Android applications. Barcode Printer In Java Using Barcode printer for BIRT reports Control to generate, create barcode image in BIRT reports applications. 2x 7 + 35x 4 + 3x 3 6x 2 7 (x 3 + 7)(5x 4 1) (x 5 x + 2)(3x 2 ) = ; (x 3 + 7)2 (x 3 + 7)2 Recognizing Barcode In Java Using Barcode Control SDK for Java Control to generate, create, read, scan barcode image in Java applications. Code-128 Drawer In None Using Barcode generation for Software Control to generate, create Code 128B image in Software applications. 2 12 3 12 15 (d) 6 ; (e) 24x 2 2x + 2 4 ; ( f ) 9x 2 + 1 4 + 5 . x x x x x 3 5 7 1 13.7 (a) y = x + ; (b) y = x . 4 4 4 4 13.10 (b) At x = 0 and x = 4. 1 13.8 . 4 13.9 At all points except x = 3. 13.12 8. 13.11 (a) x = 0; (b) x = 2; (c) x = 1; 14.7 (a) max = 13 (at x = 2), min = 7 (at x = 3); (b) max = 1 (at x = 1), min = (c) max = 3 (at x = 1), min = 7 129 at x = ; 8 4 31 1 at x = ; (d) max = 1 (at x = 0), min = 11 (at x = 1); 27 3 1 1 (e) max = 99 (at x = 4), min = 9 (at x = 2); ( f ) max = (at x = 3), min = (at x = 4); 5 4 5 3 1 (g) max = (at x = 4), min = (at x = 2); (h) max = (at x = 1), min = 1 (at x = 1); 4 4 3 14 2 1 (i) max = (at x = 2), min = at x = . 3 27 3 14.8 75 yd east-west by 50 yd north-south. 14.9 60 yd parallel to stream, 30 yd perpendicular to stream. 14.10 50 mi/h. 14.11 $200. 14.12 x = 350, at $65 per radio. 14.13 (a) Side of base = 5 ft, height = 5 ft; (b) side of base = 5 2 ft, height = 5/ 2 ft. 14.14 Length = 105 ft, width (parallel to divider) = 60 ft. 14.15 175. 14.16 (a) x = 50, y = 50; (b) x = 100, y = 0 or x = 0, y = 100; (c) x = 50, y = 50. 14.17 l = 314 m, w = 628/ 200 m. 14.18 (a) The entire wire for the circle; (b) 4L L for the circle, for the square. +4 +4 14.21 r = 2 ft, h = 5 ft. 3 14.19 The whole wire for the square. 2a 2a 14.22 h = , r = . 3 3 14.24 (a) 14.20 1000 sets.
14.23 The equilateral triangle of side p/3. 3 25 , 231 ; (b) ( 5, 0). 16 16 14.25 East-west dimension = 80 ft, north-south dimension = 48 ft. 14.26 (a) 21 x 100 m; (b) 20 400 m2 (when x = 100 m). 14.27 15 tons. ANS.] ANSWERS TO SUPPLEMENTARY PROBLEMS
15.7 (a) ( f g)(x) = 6 2 , (g f )(x) = ; (b) x 6 + 2x 3 5, (x 2 + 2x 5)3 ; (c) 49, 3; (d) x 6 , x 6 ; (e) x, x; 3x + 1 x+1 ( f ) x 2 4, x 2 4. 1 1 15.8 (a) All x; (b) x = ; (c) x = ; (d) x = 0; (e) x = 2. 4 3 15.9 (a) f (x) = x 3 x 2 + 2, g(x) = x 7 ; (b) f (x) = 8 x, g(x) = x 4 ; (c) f (x) = 1 + x 2 , g(x) = (d) f (x) = x 2 4, g(x) = x 1 . 15.10 (a) 4(x 3 2x 2 + 7x 3)3 (3x 2 4x + 7); (b) 15(7 + 3x)4 ; (c) 4(2x 3) 3 ; (d) 18x(3x 2 + 5) 4 ; (e) (4x 2 3)(x + 5)2 (28x 2 + 80x 9); ( f ) 15 (x + 2)2 20x(x 2 2) 4(1 6x) 3 ; (g) ; (h) ; (i) 4 2 (x 3) (2x 2 + 1)3 (3x 2 x + 5)2 x2 1 + x3 . x; 15.11 (a) 3 1/4 1 x(2 9x 3 ) 1 x(21x 8) 3 x ; (b) ; (c) 2 ; (d) ; (e) ; 2 2 x + 2( x 1)3 (1 3x 3 )2/3 (x + 1)3/2 4(7x 3 4x 2 + 2)3/4 2 + 3x ; (i) ; (h) 3 2 x3 3 4x 2 + 3 4 4 16x 1 (4 + x) (4 + x) ; 1 ( f ) 6x 1/4 + x 3/4 + x 4/3 ; (g) 3 ( j) 2(1 + x 2 x 3 ) . (1 2x)2 (1 + x 3 )1/3 8 3 x+ . 50 25 15.12 y = 5 15.13 y = x + 10. 3 3x 2 + 20x 12 8(x + 2) x+2 2 4= ; (g f ) (x) = . x 2 (x 2)2 (x 2)3
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