RGPV Previous Exam Papers BE 3rd Semester Engineering Mathematics

RGPV Previous Exam Papers BE 3rd Semester

Engineering Mathematics 


Note : Attempt any five questions. All questions carry equal marks.
Q.1.show that function eX(cosy=isiny)is an analytic function and find its derivative ?Q.2.find the nature of quadratic eqn form x2+5y2+z2+2xy+2yz+6zx and reduce it to canonical form ?Q.3.by using newton raphson method find the roots of x4-x-10=0, nearer to x=2 correct to 3 decimal places ?

Q.4.solve equations yb gauss siedal method ?
27x+6y-z=85
6x+15y+2z=42
x+y-2z=101

Q.5.define vector space show that vectors (2,1,4),(1,1,2),(3,1,2) forms a basis R3 ?

Q.6.using regula fals imethod find a real root of the equation xlogx-1.2=0 correct up to 3 places
of decimals ?

Q.7.use bessal formula to find value of y if x=3.75,given ?

X 2.5 3.0 3.5 4.0 4.5 5.0
Y 24.125 22.043 20.22. 18.645 17.234 16.544

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