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"HOMEWORK 3: SOLUTIONS/HINTS 8.4 Let > 0, then there is an N such that |sn | < M for n N . So we get that |sn tn | M |sn | < for all n N and hence lim(sn tn ) = 0. 8.5 Let > 0, then we have N N such that |an - s| < as well as |bn - s| < for n N. So for n N"
"HOMEWORK 4: SOLUTIONS/HINTS 10.1 (d) Let sn := sin( n ), then |sn | 1, hence the sequence is bounded. 7 However, it is neither increasing nor decreasing. (f) Let an := 3n . Then an > 0 for all n, so the sequence is bounded n below. Moreover, n+1 an+1 1 1 "
"1 1. Prove Proposition 3.1. Proposition 3.1 Let be a signed measure on . If is an increasing sequence in , then lim . If is a decreasing sequence in and is finite, then lim . Answer) Let be a signed measure on . a. If is an increasing sequence in "
"MFIN6003 Derivative Securities Dr. Huiyan Qiu Individual Assignment #1 Due: September 23, Friday 1. Suppose you desire to short-sell 400 shares of JKI stock, which has a bid price of $25.12 and an ask price of $25.31. You cover the short position 180 days"
"Undergraduate Texts in Mathematics Editors: S. Axler K. Ribet Undergraduate Texts in Mathematics For other titles published in this series, go to http:/www.springer.com/series/666 Lindsay N. Childs A Concrete Introduction to Higher Algebra Third edition 1"
"Math 131A Analysis Summer Session A Homework 3 Solutions n 1. Let (an ) be a bounded sequence and let (bn ) be a sequence such that lim bn = 0. Prove that lim an bn = 0. n Proof. Since (an ) is bounded, there exists M > 0 such that |an | < M for a"
"S E C T I O N 16.2 y Double Integrals over More General Regions (ET Section 15.2) 893 y = x2 D 1 x Therefore, ydA = 1 0 0 x2 D y dy dx = 0 2 x2 1 1 2 y y=0 dx = 1 1 0 2 x4 - 0 dx = 1 1 x5 1 1 x4 dx = = 2 10 0 10 0 (2) We compute the a"
"ISM: Linear Algebra Section 1.1 Chapter 1 1.1 1. x + 2y x + 2y = 1 -y 2x + 3y = 1 -2 1st equation x + 2y = 1 -2 2nd equation x y=1 y 2. 4x + 3y 7x + 5y 3 x + 4y 1 -4y 3 x + 4y = 2 4 =3 7x + 5y =1 = -1 (-1) = -1 , so that (x, y) = (-1, 1). ="
"Problem 6.1 Determine the axial forces in the members of the truss and indicate whether they are in tension (T) or compression (C). Strategy: Draw free-body diagram of joint A. By writing the equilibrium equations for the joint, you can determine the"
"Problem 8.1 The coefficients of static and kinetic friction between the 0.4-kg book and the table are s = 0.30 and k = 0.28. A person exerts a horizontal force on the book as shown. (a) If the magnitude of the force is 1 N and the book remains statio"
"Pattern Recognition and Machine Learning Solutions to the Exercises: Web-Edition Markus Svens n and Christopher M. Bishop e Copyright c 20022007 This is the solutions manual (web-edition) for the book Pattern Recognition and Machine Learning (PRML;"
"Linguistics 1! Due October 14/15 in section Assignment #3: Syntax * Please write your answers on a separate piece of paper. * P. 170 #3 Paraphrase each of the following sentences in two ways to show that you understand the ambiguity involved: Example: Smo"
"Problem 2.1 The magnitudes |FA | = 60 N and |FB | = 80 N. The angle = 45 . Graphically determine the magnitude of the sum of the forces F = FA + FB and the angle between FB and F. Strategy: Construct the parallelogram for determining the sum of the "
"Multiple Choice Answer on the Scantron provided ONLY. 1. Which of the graphs in Figure 20-1 illustrates the behavior of a total fixed cost? a. Graph 2 b. Graph 3 c. Graph 4 d. Graph 1 2. Which of the following describes the behavior of the fixed cost per "