In lab 2 we consider the van der Pol equation, x 00 + µ(x 2 − 1)x 0 + x = 0. (a) Show that at the critical point x = 0, the linearized system is that given in the lab, x 0 = y, y 0 = −x + µy. (b) Solve the system for µ = 0, µ = 0.1, and µ = 3. (c) For each of these, sketch, by hand, the phase portraits for the system. Be careful to note how they differ.

The probability of winning something on a single play at a slot machine is 0.11. after 4 plays on the slot machine, what is the probability of winning at least once

Acar started driving from city a to city b, distance between which is 620 miles, at a rate of 60 mph. two hours later a truck left city b and started moving towards city a at a rate of 40 mph. how many hours after the truck's departure will the two meet?

Raj encoded a secret phrase using matrix multiplication. using a = 1, b = 2, c = 3, and so on, he multiplied the clear text code for each letter by the matrix to get a matrix that represents the encoded text. the matrix representing the encoded text is . what is the secret phrase? determine the location of spaces after you decode the text. yummy is the corn the tomato is red the corn is yummy red is the tomato