Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
13th Edition
ISBN: 9780321947628
Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen
Publisher: PEARSON
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Textbook Question
Chapter DPT, Problem 26E
In Problems 25-30, perform the indicated operation and write the answer as a simple fraction reduced to lowest terms. All variables represent positive real numbers.
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(b) In various places in this module, data on the silver content of coins
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5. (a) State the Residue Theorem. Your answer should include all the conditions required
for the theorem to hold.
(4 marks)
(b) Let y be the square contour with vertices at -3, -3i, 3 and 3i, described in the
anti-clockwise direction. Evaluate
に
dz.
You must check all of the conditions of any results that you use.
(5 marks)
(c) Evaluate
L
You must check all of the conditions of any results that you use.
ཙ
x sin(Tx)
x²+2x+5
da.
(11 marks)
3. (a) Lety: [a, b] C be a contour. Let L(y) denote the length of y. Give a formula
for L(y).
(1 mark)
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contour. Suppose there exists a finite real number M such that |f(z)| < M for
all z in the image of y. Prove that
<
||, f(z)dz| ≤ ML(y).
(3 marks)
(c) State and prove Liouville's theorem. You may use Cauchy's integral formula without
proof.
(d) Let R0. Let w € C. Let
(10 marks)
U = { z Є C : | z − w| < R} .
Let f UC be a holomorphic function such that
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for all z Є U. Show, using the local maximum modulus principle, that f is constant.
(6 marks)
Chapter DPT Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
Ch. DPT - Replace each question mark with an appropriate...Ch. DPT - Problems 2-6 refer to the following polynomials:...Ch. DPT - Problems 2-6 refer to the following polynomials:...Ch. DPT - Problems 2-6 refer to the following polynomials:...Ch. DPT - Problems 2-6 refer to the following polynomials:...Ch. DPT - Problems 2-6 refer to the following polynomials:...Ch. DPT - In Problems 7 and 8, perform the indicated...Ch. DPT - In Problems 7 and 8, perform the indicated...Ch. DPT - In Problems 9 and 10, factor completely. x2+7x+10Ch. DPT - In Problems 9 and 10, factor completely. x32x215x
Ch. DPT - Write 0.35 as a fraction reduced to lowest terms.Ch. DPT - Write 78 in decimal form.Ch. DPT - Write in scientific notation:...Ch. DPT - Write in standard decimal form: A2.55108B4.06104Ch. DPT - Indicate true (T) or false (F): (A) A natural...Ch. DPT - Give an example of an integer that is not a...Ch. DPT - In Problems 17-24, simplify and write answers...Ch. DPT - In Problems 17-24, simplify and write answers...Ch. DPT - In Problems 17-24, simplify and write answers...Ch. DPT - In Problems 17-24, simplify and write answers...Ch. DPT - In Problems 17-24, simplify and write answers...Ch. DPT - In Problems 17-24, simplify and write answers...Ch. DPT - In Problems 17-24, simplify and write answers...Ch. DPT - In Problems 17-24, simplify and write answers...Ch. DPT - In Problems 25-30, perform the indicated operation...Ch. DPT - In Problems 25-30, perform the indicated operation...Ch. DPT - In Problems 25-30, perform the indicated operation...Ch. DPT - In Problems 25-30, perform the indicated operation...Ch. DPT - In Problems 25-30, perform the indicated operation...Ch. DPT - In Problems 25-30, perform the indicated operation...Ch. DPT - Each statement illustrates the use of one of the...Ch. DPT - Prob. 32ECh. DPT - Multiplying a number x by 4 gives the same result...Ch. DPT - Find the slope of the line that contains the...Ch. DPT - Find the x and y coordinates of the point at which...Ch. DPT - Find the x and y coordinates of the point at which...Ch. DPT - In Problems 37-40, solve for x. x2=5xCh. DPT - In Problems 37-40, solve for x. 3x221=0Ch. DPT - In Problems 37-40, solve for x. x2x20=0Ch. DPT - In Problems 37-40, solve for x. 6x2+7x1=0
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