b) Using the deﬁnition of the dot product A·B = A B cos(θ), and your function in part a), write a function to ﬁnd the angle in degrees between two vectors of equal length of any length. Test this with a couple of examples.
Note: show the answer in PDF format..please use Mathmatica 6 or 5.2.
The function is (e^-(x-a)^2((x-a)^2-(x-a)^3)) the integers 2 and 3 following (x-a) are exponents not coefficients.© BrainMass Inc. brainmass.com October 24, 2018, 11:18 pm ad1c9bdddf
Step by step method for solving a problem in mathematica is given in the answer.
Problems Involving Propagation of Measurement Error
Please see attachment for problems with appropriate symbol notations.
6. Let I = 1/2 M(R^2 + r^2). What is the equation for sigma_I, if M, R and r are measured quantities? If we require delta_I/I = 0.1%, what is the relative precision for the measurements of M, R and r? (Suppose that R = alpha*r, alpha > 1, and delta_R = delta_r.)
7. The voltage V along a transmission line is V(x) = V0 exp(-x/x_a), where x is the position along the line. Find x_a and its uncertainty sigma_x_a measuring V0, V and x. Find the best value of V0, which minimizes sigma_x_a.
8. The angle variation theta of a wheel rotating under a constant acceleration, is measured at different times t. A plot of t^2 vs. theta of the data is fitted with a straight line y = a + bx. Supposing that the initial angular velocity was zero, what are a and b? What is the value of sigma_(t^2) for t = (1.32 +- 0.02) s?View Full Posting Details