Recent content by Pr0grammer

Doh. I entered 0 in my calculator instead of 1 for the last value of x. Thanks anyways :)

Homework Statement Find the eigenvalues and the eigenvectors for the given matrix.Homework Equations \[ A = \left[ {\begin{array}{ccc} -1 & 6 & 2 \\ 0 & 5 & -6 \\ 1 & 0 & -2 \\ \end{array} } \right] \]The Attempt at a Solution I solved A-\lambda I = 0 and got eigenvalues of -4 and 3...

Wolfram suggests that the correct answer should be 2/9: http://www.wolframalpha.com/input/?i=int+(sqrt(x%2By)(y-2x)^2)+dy+dx,+x%3D0+to+1,+y%3D0+to+1-x+ However, after evaluating my transformation, I got 1892/315, which Wolfram agreed with...

Find the sum of the series... Homework Statement Find the sum: {1}^{2} - {2}^{2} + {3}^{2} - {4}^{2} + ... + [\left(-1\right)^{m-1}]{m^2} and Find the sum: x + {2x}^{2} + {3x}^{3} + ... + {nx}^{n} Homework Equations n/a The Attempt at a Solution For problem 1: I tried...

Homework Statement Evaluate \int_0^1 \! \int_0^{1-x} \! \sqrt{x+y} \left(y-2x\right)^{2} \, \, \mathrm{d}y \, \mathrm{d}x. by applying the appropriate transformation.Homework Equations N/AThe Attempt at a Solution So far, the best I can come up with is u=1-x, v=x+y, which gives me \int_0^1 \...