A textbook of Computer Based Numerical and Statiscal Techniques part 46 pptx
A textbook of Computer Based Numerical and Statiscal Techniques part 62 docx
... the Range Lower limit a = 0 Upper limit b = 6 Enter the number of subintervals = 6 Value of the integral is: 1.3571 598 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Enter the value of y2 ... ALGORITHM FOR TRAPEZOIDAL RULE Step 1. Start of the program for numerical integration Step 2. Input the upper and lower limits a and b Step 3. Obtain the number of sub...
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A textbook of Computer Based Numerical and Statiscal Techniques part 1 ppt
... This page intentionally left blank This page intentionally left blank A TEXTBOOK OF COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Anju Khandelwal M.Sc., Ph.D. Department of Mathematics SRMS ... Based Numerical and Statistical Techniques is primarily written according to the unified syllabus of Mathematics for B. Tech. II year and M.C .A. I year students of...
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A textbook of Computer Based Numerical and Statiscal Techniques part 2 ppsx
... problems. A major advantage for numerical technique is that a numerical answer can be obtained even when a problem has no analytical solution. However, result from numerical analysis is an approximation, in ... () 22 2 2 22 2 12 12 22 2 12 12 1 2 2 n n XX x X xx xxx xx xx x ∂∂ δ ∂ δ+δ++δ+δδ++ ∂∂ ∂∂ δ Errors δx 1 , δx 2 , , δx n all are small so that th...
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A textbook of Computer Based Numerical and Statiscal Techniques part 3 ppsx
... Approximate value (x′) = 0 .33 3 Therefore, Absolute Error, 1 0 .33 3 0 .33 333 3 0 .33 3 0.00 033 3 3 a Exx ′ =− =− = − = Relative Error, E r = 0.00 033 3 0.000999 0 .33 333 3 a E x == and Percentage Error, E p = ... second decimal places. Example 4. If 0 .33 3 is the approximate value of 1 3 , then find its absolute, relative and percentage errors. Sol. Given that True val...
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A textbook of Computer Based Numerical and Statiscal Techniques part 4 ppt
... 32. In a ∆ABC, b = 9.5 cm, c = 8.5 cm and A = 45 o , find allowable errors in b, c, and A such that the area of ∆ABC may be determined nearest to a square centimeter. Sol. Let area of the ∆ABC be ... standards: IEEE 7 54 is for binary arithmetic, and IEEE 8 54 covers decimal arithmetic as well. The only IEEE 7 54, adopted almost universally by computer manufacturers. U...
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A textbook of Computer Based Numerical and Statiscal Techniques part 6 pptx
... between 0 .65 7 and 0 .66 5. Eighth approximation: The eighth approximation to the root is given by 8 0 .65 7 0 .66 5 0 .66 1 2 x + == From last two approximations, i.e., 7 0 .6 65 x = and 8 0 .6 61 x = ... positive. Therefore f (0 .67 3) is positive and f(0 .65 7) is negative so the root lies between 0 .65 7 and 0 .67 3. ALGEBRAIC AND TRANSCENDENTAL EQUATION 41 Seventh approxi...
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A textbook of Computer Based Numerical and Statiscal Techniques part 19 pptx
... the argument half way between the arguments at q and r is + B A, 24 where A is the arithmetic mean of q and r and B is arithmetic mean of 3q – 2p – s and 3r – 2s – p. Sol. Given A is the arithmetic ... r and s corresponds to argument a, a + h, a + 2h and a + 3h respectively then the value of the argument lying half way between a + h and a + 2h will be a...
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A textbook of Computer Based Numerical and Statiscal Techniques part 20 pptx
... −− +−+ = 147.2251 Approx. Example 5. In an examination, the number of candidates who obtained marks between certain limits are as follows: Marks No of candidates −−−−−01 9203 9405960798099 . 41 ... 36.492875 = 198.507 { 198 ∴ Total no. of candidates who obtained fewer than 70 marks are 198. Example 6. The area A of a circle of diameter d is given for the following values: d A...
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A textbook of Computer Based Numerical and Statiscal Techniques part 30 pptx
... dxa xdxa xdxa xdx 1111 3 5/2 2 4 012 0000 x dxa xdxa xdxa xdx=++ ∫∫∫∫ or Simplifying above equations, we get 12 0 012 0 12 2 233 2 2345 2 3457 aa a a aa aaa ++= ++ = ++= 284 COMPUTER BASED NUMERICAL ... NUMERICAL AND STATISTICAL TECHNIQUES Minimax polynomial approximation: Let f(x) be continuous on [a, b] and it is approximated by the polynomial P n (x) = a 0 + a 1 x +...
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A textbook of Computer Based Numerical and Statiscal Techniques part 35 pptx
... numerical solutions of differential equations. In researches, especially after the advent of computer, the numerical solutions of the differential equations have become easy for manipulations. Hence, ... % Numerical Solution of Ordinary Differential Equation 7.1 INTRODUCTION In the fields of Engineering and Science, we come across physical and natural phenomena which, whe...
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A textbook of Computer Based Numerical and Statiscal Techniques part 40 pptx
... sensitive to small changes in A and B i.e., small change in A or B causes a large change in the solution of the system. On the other hand if small changes in A and B give small changes in the solution, the ... find that 12 iteration are necessary in Gauss-Jacobi Method to get the same accuracy as achieved by 7 iterations in Gauss-Seidel method. SOLUTION OF SIMULTANEOUS LINEAR...
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A textbook of Computer Based Numerical and Statiscal Techniques part 41 pptx
... the value of a, b and c in equation (1), we get the equation of the parabola of best fit. 9.2.3 Change of Scale When the magnitude of the variable in the given data is large number then calculation ... taking suitable scale when the value of x are given at equally spaced intervals. Let h be the width of the interval at which the values of x are given and let the ori...
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A textbook of Computer Based Numerical and Statiscal Techniques part 46 pptx
... the type and nature of the variations in the data. 2. The segregation and study of the various components is of paramount importance to a businessman in the planning of future operations and in ... Seasonal indices. Example 13. Calculate seasonal indices by method of link relatives from the data given in Example 12. Sol. Calculate of Average Link Relatives Link Relatives Y...
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A textbook of Computer Based Numerical and Statiscal Techniques part 50 pptx
... of control. This shows that some assignable causes of variation are operating which should be detected and removed. 478 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES whether there are any ... and standard deviation σ charts. 18 samples of 10 items each were chosen and then values ∑X and ∑S were found to be 595.8 and 8.28 respectively. Determine the 3-σ limits f...
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A textbook of Computer Based Numerical and Statiscal Techniques part 58 pptx
... e where v is any vairable (or anything like a[ i]), op is any of the binary arithmetic operators, and e is any expression. 558 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES printf("can’t compute ... i); break; } } } return 0; } Arrays The declaration int i; declares a single variable, named i, of type int. It is also possible to declare an array of several el...
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