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In: Advanced Math

1. Reduce the quadratic form 2x2 – 6xy + y2 to standard form. Use the new...

1. Reduce the quadratic form 2x2 – 6xy + y2 to standard form. Use the new form to sketch the graph of this quadratic form. What is the angle by which the standard axes are rotated to the standard form orientation

2. find the principal stresses and directions of the stress state given by the matrix
12.5 12.99
12.99 47.5
​σ = ksi.

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