Question Solved1 Answer Consider the boundary-value problem introduced in the construction of the mathematical model for the shape of a rotating string: For constant T and ρ, define the critical speeds of angular problem rotation ωn as the values of ω for which the boundary-value has nontrivial solutions. Find the critical speeds ωn and the corresponding deflections yR(x).

The elevator E shown in the figure moves downward with a constant velocity of 4 m/s. W E MO Problem 11.047.a. Relative motion of system of particles with one degree of freedom Determine the velocity of the cable C. (You must provide an answer before moving on to the next part.) The velocity of the cable Cis | 7 m/s 1.

47-58 - Composition of Functions Find the functions $f \circ g$ , $g \circ f, f \circ f$ , and $g \circ g$ and their domains.

A Tim Horton's has recently opened up in Edmonton. It is observed that, on any given morning, the time it takes for a car to be served after ordering in the drive-thru follows a normal distribution with = 8 minutes and a = 2.5 minutes. (a) What is the probability that it takes less than 5.5 minutes for a randomly selected car to be served after ordering? (Round your answer to four decimal places, if needed.) (b) What is the probability that it takes more than 70 minutes for a randomly selected car to be served after ordering? (Round your answer to four decimal places, if needed.) Find the area under the standard normal distribution represented by each probability. (Round your answers to 4 decimal places.) (a) PIZ < -0.56) (b) P(Z > 1.07): (c) P(0.51 < Z < 1.6): (d) PIZ = 1,87): Check

Blue Spruce Corp. has decided to expand its operations. The bookkeeper recently completed the following statement of financial position in order to obtain additional funds for expansion:obligation is considered a long-term liability. (List Current Assets in order of liquidity. List Property, Plant and Equipment in order of Buildings, and Equipment.)

(15 points): Consider (again) the complex function G: C+C defined by 8 +2 G(8) 32 +63 + 18 (a) By hand, draw a pole-zero map of G (i.e., in the complex plane, draw a "o" to indicate points where G evaluates to zero and an "x" to indicate points where the magnitude of G tends to infinity).

The problem is Customers arrive at a tool crib according to a Poisson process of rate $\lambda = 5$ per hour. There is a single tool crib employee, and the individual service times are exponentially distributed with a mean service time of 10 minutes. In the long run, what is the probability that two or more workers are at the tool crib being served or waiting to be served? It is given that $\lambda = 5$, and I believe that $\mu = 6$ customers per hour. Then, I think the answer is $$1-\frac{1}{6}-\frac{1}{6}\left(\frac{5}{6}\right)-\frac{1}{6}\left(\frac{5}{6}\right)^2 = \frac{125}{216}.$$ However, the answer in the back is $\frac{25}{36}$. I was wondering what I did wrong. Or is the answer in the back wrong? Thanks.