Higher Engineering Mathematics

522 DIFFERENTIAL EQUATIONS = 30 nπ ( 1 −cosnπ) =0 (whennis even) and 60 nπ (whennis odd) Hence, the required solution is: u(x,t) ...

AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS 523 I the potential at any point within the rectangleOPQR. The boundary condit ...

524 DIFFERENTIAL EQUATIONS from which,X=Acospx+Bsinpx and Y=Cepy+De−py or Y=Ccoshpy+Dsinhpy or Y=Esinhp(y+φ) Hence u(x,y)=XY ={A ...

Assign-14-H8152.tex 23/6/2006 15: 14 Page 525 I Differential equations Assignment 14 This assignment covers the material contain ...

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Statistics and probability J 54 Presentation of statistical data 54.1 Some statistical terminology Data are obtained largely by ...

528 STATISTICS AND PROBABILITY (b) The amount of coal produced daily by each of 15 miners. (c) The number of bottles of milk del ...

PRESENTATION OF STATISTICAL DATA 529 J Figure 54.2 Problem 4. The number of issues of tools or materials from a store in a facto ...

530 STATISTICS AND PROBABILITY Figure 54.4 area of a sector to be proportional to a part, the angle at the centre of the circle ...

PRESENTATION OF STATISTICAL DATA 531 J Period of Time 123456 Number of Vehicles 35 44 62 68 49 41 ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ If one symbol is ...

532 STATISTICS AND PROBABILITY The employees in a company can be split into the following categories: managerial 3, supervisory ...

PRESENTATION OF STATISTICAL DATA 533 J Ais half that ofB(see Problem 11). Another method of presenting grouped data diagrammatic ...

534 STATISTICS AND PROBABILITY Problem 10. The amount of money earned weekly by 40 people working part-time in a fac- tory, corr ...

PRESENTATION OF STATISTICAL DATA 535 J Figure 54.8 Therangeof the data is the member having the largest value minus the member h ...

536 STATISTICS AND PROBABILITY draw a histogram is to mark class mid-point values on the horizontal scale and to draw the rectan ...

PRESENTATION OF STATISTICAL DATA 537 J The information given below refers to the value of resistance in ohms of a batch of 48 r ...

Statistics and probability 55 Measures of central tendency and dispersion 55.1 Measures of central tendency A single value, whic ...

MEASURES OF CENTRAL TENDENCY AND DISPERSION 539 J the set gives: {1, 2, 3, 3, 3, 4, 4, 5, 5, 7, 7, 8, 13} The middle term is the ...

540 STATISTICS AND PROBABILITY histogram, frequency values are represented verti- cally and variable values horizontally. The me ...

MEASURES OF CENTRAL TENDENCY AND DISPERSION 541 J The gain of 90 similar transistors is measured and the results are as shown. ...