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Subject Details
Dept     : EEE
Sem      : 1
Regul    : 2023
Faculty : P .CHINNARAJ
phone  : 9994683391
E-mail  : chinnaraj.p.math@snsce.ac.in
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10
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Due Date: 18-11-2024
Matrices and eigen value problem
Reduce the quadratic form 2xy+2x z-2yz to canonical form by orthogonal reduction. Also find its nature. Reduce the quadratic form x^2+5y^2+z^2+2xy+2yz+6zx to canonical form and hence find its rank.
39
Day's Remaining
Due Date: 17-12-2024
Differential Calculus
1. Find the evolute of the parabola . 2. Find the evolute of the hyperbola . 3. A rectangular box open at the top , is to have a volume of 32cc. Find the dimensions of the box, that requires the least materials for its construction. 4. A rectangular box open at the top , is to have the capacity of 108 cu.ms. Find the dimensions of the box, requiring the least materials for its construction.