R.G.P.V. BHOPAL
B.E. 3rd Semester EXAMINATION
ENGINEERING MATHEMATICS BE-301
Time: 3Hrs Max Marks: 100 Min Marks: 40
Note : Attempt any five questions. All questions carry equal marks.
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.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 ?
| 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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