Recent content by ganondorf29

Homework Statement [/B] Given the dyad formed by two arbitrary position vector fields, u and v, use indicial notation in Cartesian coordinates to prove: $$\nabla^2 ({\vec u \vec v}) = \vec v \nabla^2 {\vec u} + \vec u \nabla^2 {\vec v} + 2\nabla {\vec u} \cdot {(\nabla \vec v)}^T $$Homework...

Homework Statement Hello, I have a question on how to calculate the equivalent/hydraulic diameter for a problem that I'm doing. The problem states that I should use the cross-sectional flow area shown with an equivalent diameter based upon a closed rectangle (entire perimeter)...

Homework Statement I'm having a problem calculating the I value for this beam. I'm not sure on how to account for the missing circle in the front square and how to account for the beam changing from a 1" x 1" square to a 5" x 0.5" beam Homework Equations Ixx = bh^12/12 The...

Homework Statement A pressurizer is designed to accommodate an outsurge of 30,800 lbm and an insurge of 20900 lbm. The mass of the water necessary to cover the electric heaters is 4020 lbm. The system's operating pressure is 2250 psia. The hot leg is 600F and and the cold leg is 550F (For the...

Does this help at all? http://www.mathworks.com/help/toolbox/signal/freqz.html

Homework Statement f(t) is given as: from 0 to 0.2s, f(t) = 5 from 0.2s to 0.6s, f(t) = 0 from 0.6s to 0.8s, f(t) = 5, etcHomework Equations for an odd function a0 = 2/p * integral(from -p/2 to p/2) of f(t) dt bn = 4/p * integral(from 0 to p/2) of f(t)*sin(2*pi*n*t/p) dtThe Attempt at a...

Homework Statement x'' + 2\zeta \omega_{n} x' + \omega_{n}^2 x = u_{s}(t) zeta is underdamped and u_{s}(t) is the unit step function and \omega_n is the natural frequency and there are zero initial conditions. Find the total response via the convolution integral. Homework...

For A-5I x1 = x3 x2 = x3 so [1;1;1] is the eigenvector for \lambda = 5 [2,1,2;2,1,2;2,1,2] * [1;1;1] = [5;5;5] But I'm still not sure how to find the eigenvectors for A-0I

Homework Statement A = [2,1,2;2,1,2;2,1,2] Find the Eigenvectors of A Homework Equations The Attempt at a Solution First I found the eigenvalues of A det(A - \lambda I) = 0 \lambda = 0,5 __________________________________________ A-5I...

Homework Statement Find the radius of convergence and the interval of convergence for \sum_{n=0}^\infty \frac{x^n}{n3^n} Homework Equations The Attempt at a Solution Ok, so I first applied the ratio test. \lim_{n\rightarrow\infty} | \frac{x^{n+1}}{(n+1)3^(n+1)} / \frac{x^n}{n3^n} |...

Homework Statement \int sin^3(2x) dxHomework Equations sin^2(x) + cos^2(x) = 1 The Attempt at a Solution First I try to get the integral in the form of \intsin^3(u) and I do this by u-substitution. \int sin^3(2x) dx u = 2x du = 2dx dx = du/2 So the new integral looks as such...

Thank you, I got it.

Homework Statement Determine the area of the parallelogram spanned by the vectors < 0, 9, 6 > and < −10, −6, −4 > Homework Equations Area = A X B The cross product of < 0, 9, 6 > and < −10, −6, −4 > = 0i - 60j + 90k The Attempt at a Solution I know the area is the cross...

Homework Statement A helium-neon laser of the type often found in physics laboratories has a beam power of 3.50 mW at a wavelength of 633 nm. The beam is focused by a lens to a circular spot whose effective diameter may be taken to be equal to 2.00 wavelengths. Calculate the intensity of the...

So is it: \sum\fract(-1)^n^+^2 3x^n /{n}