8/17/2019 Tutorial II maths 3.docx

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CDSE

Department of Engineering Mathematics

Subject Code: BE 401 Subject: Engineering Mathematics III

Sr. No. Topic1 Solution of algebraic and transcendental equation2 Solution of linear simultaneous equations

Tutoria Sheet !

"#1 Find the real root of the equation x log10  x−1.2=0  by the method of false

position correct to four decimal places.

"#! Find the root of the equation  x e x

=cos  x  by regula falsi method correct to four

decimal places.

"#$ Find a real root of the equation  x−e− x

=0  using secant method.

"#4 By using Newton Raphsons method !nd the root of  x4

− x "1# $# which is

nearer to 2.

"#% %pply Newton Raphsons method to sol&e 3  x=cosx+1 .

"#& '&aluate √ 12  to four places of decimal by using Newton Raphsons method.

"#' %pply (routs method to sol&e the equation)"

*a+ ,- 2y /0 $ 2- ,y 0 $ 3 ,- y 0 $ /.

*b+ 1#- y 0 $ 12 2- 1# y 0 $ 1, 2- 2y 1#0 $ 1

"# ( Sol&e following equations by 4auss elimination method.

*a+ 1#- 5 /y ,0 3u $ 6 "6- 7y 5 0 5 u $ 3 ,- y 0 11u $ 2 3-

5 8y 5 20 u $ "/

*b+ 2- y 0 $ 12 7- 5 ,y 20 $ 2, - 11y 5 0 $,,

"#) Sol&e following equations by 4auss Seidel 9ethod)"

*a+ 1#- 5 2y 5 0 5w $ , "2- 1#y 5 0 5 w $ 13 "- 5 y 1# 0 5 2w $ 2/ " - " y

5 20 1# w $ " 8*b+ 1#- y 0 $ 12 2- 1# y 0 $ 1, 2- 2y 1# 0 $ 1

"#10 Sol&e by :acobis method) 2/- 6y" 0 $ 73 6- 13 y 20 $ /2 - y 3 0

$ 11#

%nswers)

;.1 - $ 2./#6 ;. 6 ,.61

;.2 #.31//3 ;./ *a+ - $ /

8/17/2019 Tutorial II maths 3.docx

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;., #.36/2 *b+ - $ y$ 0 $ 1

;. 1.736 ;.7 *b+ - $ ,.,3/, y $ 1.73/1 0 $ #.73/1

;. 3 #.6#/1 ;. 8 *b+ - $ y $ 0 $ 1

;. 1# - $ 2.26 y $ ,.3/ 0 $ 1.826