Use a contour to evaluate Soº Soda T 4 100 O 2 Ela Els
3. Let Ei 2 E2 ? ... ? Ek ? ... be a decreasing sequence of nonempty, closed subsets of R”. (a) Prove that if Ej is compact, then n En +0. n=1 n= 1 (b) Find an example of a sequence as above with the property that n En = D. (Hint: In light of (a), none of the E; can be compact sets. Since each E; is closed by assumption, each of the E; must be unbounded. Also,...
2" (20 points) In reg on 1.zcoon 3.5, ?? eLa-0. In region 2, 220,En 6.3. ?? 15 ?2 m 0. A 5 3 G? uniform plane wave is normally incident from pegion I to region 2. Let Hylo 5.5 Am. Find the standing wave ratio for E in region 1, and the avérage power per square meter in region I. Piy and power transmitted inte region 2. P
(W(n+1) (2n +) Given Ek = what is het 2 (n - ? Kel
Question 3. Normalize Earnings The following table presents the most recent income statement of Company ELA. The footnote of the 10-K filing mentions that the company recorded the following one-time items: - impairment charge of $10m pre-tax (generally included in "other operating costs/expenses"); - restructuring charge of $15m pre-tax; - gains from selling a warehouse of $2m pre-tax. Normalize the earnings accordingly and calculate the adjusted diluted EPS.
Need help, 2) Find a power Serfes at Co Fu Fx) 6x1-2 レfb ek derivatile I+ (Hint: First shau thot s- g 2) Find a power Serfes at Co Fu Fx) 6x1-2 レfb ek derivatile I+ (Hint: First shau thot s- g
Give the major product for the following reaction: 11 2 Product(s) 3 H20 * || IV & & cho ة ة V VI VII VIII C VIII O IV OV 0 || 0 III 0| OVI O VII
KE-2 a) Two objects with masses m Find the ratio Eno/Ek 20.0kg and my-60.0kg are both traveling with the b) Two objects with identical masses m are traveling with speeds Vi-20.0m/s and V-60.0m/s. c) In part a), m2-3m. In part b) V2 3Vi. Why are the two ratios of Eia/Exi not the same? Find the ratio Eo/Ek
(3) Suppose we want to use the integral test to determine if the series k ek converges or diverges, where ak = f (). What conditions must f (x) satisfy in order to justify the use of the integral test? (4) Consider the series relitz (a) Use the integral test to show the above series converges. (b) Use the integral test to fill in the blanks: ----- Et=11th ----
2. Using a z-transform table, show that a) 2k+14[k – 1] +ek-[k] 2+ ane) b) kyku[k – 1] Hint: Express 1 k-1) in terms of u[k]. c) (2-cos(k)]u[k –1] 2-0.52+0.25 d) k(k-1) (k - 2)24-34[k - m e for m=0,1,2 or 3