Activity 2.Getting acquainted with the essential terms and concepts of thecomplex numbers and analytic functions, what also matters is that youwill be able to apply problems in the real world. Now, I will require youto solve the following questions.1. Show that any point zo of a domain is an accumulation point of that domain.

Answered: Image /qna-images/answer/fdf10ec7-357b-4961-b845-7b8ab35e0c39.jpg

Answered: 1. Show that any point zo of a domain…

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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Q3. Consider the following Cobb-Douglas production function: Y = AL® K²-® where 0 = 0.25 Assuming settings of Neo-Classical theory of investment derive the following: a. Function representing the current value of desired stock of capital. b. Current value of desired stock of capital when output is 5 billion $ while rental cost is 0.12. c. Now suppose output is expected to rise to 7 billion $, find corresponding value in desired stock of capital? d. How would you define value of investment in the given context of discussion?
c) A university projects that enrollments are going to decline as the pool of college-aged applicants begins to shrink. They have estimated the number of applications for coming years to behave according to the functiona = f(t) = 6,500 – 250twhere a equals the number of applications for admission to the university and t equals time in years measured from this current year (t = 0).i. What class of function is this?ii. What is the expected number of applications 5 years from today? 10 years?iii. Do you think this function is accurate as a predictor indefinitely into the future? iv. What kinds of factor would influence the restricted domain on t?
1. Suppose the function C(r) represents the cost to produce rope as a function of the length of the rope. (a) What can you conclude about C from the statement "The cost of production is increasing at a decreasing rate"? Pick one of positive, negative, zero, or other. If other, please explain. i. C"(r) is ii. C"(r) is (b) What can you conclude about C from the statement "The cost of production is decreasing at an increasing rate"? Pick one of positive, negative, zero, or other. If other, please explain. i. C"(r) is ii. C"(r) is
(d) Suppose that new copies cost $150 and used copies cost $80. Assume the bookstore currently has 50 new copies and 50 used copies. What is the expected value of total revenue from the sale of the next 15 copies purchased? [Hint: Let h(X) = the revenue when X of the 15 purchasers want new copies. Express this as a linear function.] $
8. Revenue Suppose that the demand function for a monopolist's product is of the form for positive constants A and B. In terms of A and B, find the value of p for which maximum revenue is obtained. Can you explain why your answer does not depend on A?
The following table gives the number of worldwide cell phone subscribers, in billions, for selected years from 2010 and projected to 2020. Complete parts (a) through (e) Subscribers (billions) 5.38 601 6.63 Subscribers (billions) 834 8 55 8.74 Year Year 2016 2017 2018 2010 2011 2012 2013 2014 2015 7.19 2019 8.91 7.63 8.02 2020 9.05 a. Find a quadratic function that models the number of subscribers, QU), in billions, as a function of t, the number of years after 2010. (Type an equation. Type integers or decimals rounded to three decimal places for any numbers in the equation.) b. What does the model predict the number of subscribers will be in 2021? bilion (Type an integer or decimal rounded to three decimal places as needed) c. What does the model predict the number of subscribers will be in 2022? What do the results of parts (b) and (c) tell us? The model predicts there will be bilion cell phone subscribers in 2022 What do the results of parts (b) and (c) tell us? What does the model…
1. Consider the following four demand functions for money: (1) InM," = a, +a,InY," + a, In R, + a, In P, + u, (2) InM," = ß, + B,lnY, + ß, In R, + ß;, In P, + u,2 where M,", Y,", R, and P, denote, respectively, aggregate nominal money demand, aggregate national income, long-term interest rate, implicit price deflator. These two money demand equations are estimated for the period 1949-1965 and the following estimated equations are obtained: (1) InM," = 3.999 +1.710lnY," – 0.608 In R, – 0.759 In P, R² = 0.942, SSR = 0.080 (0.469) (1.801) (0.416) (2) InM," = 3.999 +1.710lnY, – 0.608 ln R, +0.9519 ln P, (0.651) R² = 0.942, SSR = 0.080 (1.801) (0.416) (0.469) (0.651) (b) In Model (2) test the hypothesis that the price level has no significant effect on real money demand using t and F statistics. Windov Windowr
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