3.4 If the steady-state output is said to have been achieved once it is within 1% of thefinal value, how long does the transient response last when a first-order system with atime constant of 10 s is given a unit step input? Does the numerical value of the numera-tor of the transfer function affect the answer?

Given: If the steady state output is achieved once it is with 1% of the final value T=20 S

Answered: 3.4 If the steady-state output is said…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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You are considering an investment in Justus Corporation's stock, which is expected to pay a dividend of $1.75 a share at the end of the year (D1 = $1.75) and has a beta of 0.9. The risk-free rate is 5.4%, and the market risk premium is 6%. Justus currently sells for $21.00 a share, and its dividend is expected to grow at some constant rate, g. Assuming the market is in equilibrium, what does the market believe will be the stock price at the end of 3 years? (That is, what is ?) Do not round intermediate calculations. Round your answer to the nearest cent.
Suppose that a healthy population of some species is growing in a limited environment and that the current population P0 is fairly close to the carrying capacity M0. You might imagine a population of fish living in a freshwater lake in a wilderness area. Suddenly a catastrophe such as the Mount St. Helens volcanic eruption contaminates the lake and destroys a significant part of the food and oxygen on which the fish depend. The result is a new environment with a carrying capacity M1 considerably less than M0 and, in fact, less than the current population P0. Starting at some time before the catastrophe, sketch a “before-and-after” curve that shows how the fish population responds to the change in environment.
The current toll for the use of a certain toll road is $2.50. A study conducted by the state highway department determined that, with a toll of p dollars, q cars will use the road each day, where q = 60,000e-0.5p. 1. Compute the elasticity of demand at p = 2.5. 2. Is demand elastic or inelastic at p = 2.5? 3. If the state increases the toll slightly, will the revenue increase or decrease?

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