To determine To calculate: The given expression − | − 4 | − | − 1 − 14 | . . Explanation Given: The expression is − | − 4 | − | − 1 − 14 | . Formula Used: For any real number a, | a | = a if a ≥ 0 | a | = − a if a < 0 Calculation: The given expression is an example of absolute value. This is also known as modulus sign that turns every negative value into positive because according to it, the value of any negative number is the negative of itself

Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)

12th Edition

ISBN: 9780134767628

Author: Margaret L. Lial, Thomas W. Hungerford, John P. Holcomb, Bernadette Mullins

Publisher: PEARSON

See similar textbooks

Concept explainers

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

Videos

Question

Chapter 1.1, Problem 53E

To determine

To calculate: The given expression −|−4|−|−1−14|..

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 1.1, Problem 52E

Chapter 1.1, Problem 54E

Students have asked these similar questions

(b) In various places in this module, data on the silver content of coins minted in the reign of the twelfth-century Byzantine king Manuel I Comnenus have been considered. The full dataset is in the Minitab file coins.mwx. The dataset includes, among others, the values of the silver content of nine coins from the first coinage (variable Coin1) and seven from the fourth coinage (variable Coin4) which was produced a number of years later. (For the purposes of this question, you can ignore the variables Coin2 and Coin3.) In particular, in Activity 8 and Exercise 2 of Computer Book B, it was argued that the silver contents in both the first and the fourth coinages can be assumed to be normally distributed. The question of interest is whether there were differences in the silver content of coins minted early and late in Manuel’s reign. You are about to investigate this question using a two-sample t-interval. (i) Using Minitab, find either the sample standard deviations of the two variables…

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) (b) Let UCC be open. Let f: U→C be continuous. Let y: [a,b] → U be a 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 0 < |ƒ(w)| < |f(z)| for all z Є U. Show, using the local maximum modulus principle, that f is constant. (6 marks)

Chapter 1 Solutions

Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)

Ch. 1.1 - Name all the types of numbers that apply to the...Ch. 1.1 - Checkpoint 2 Name the property illustrated in each...Ch. 1.1 - Checkpoint 3 Name the property illustrated in each...Ch. 1.1 - Checkpoint 4 Use the distributive property to...Ch. 1.1 - Checkpoint 5 Evaluate the following if and...Ch. 1.1 - Checkpoint 6 Use a calculator to evaluate the...Ch. 1.1 - Prob. 7CP Ch. 1.1 - Checkpoint 8 Draw a number line, and graph the...Ch. 1.1 - Prob. 9CP Ch. 1.1 - Checkpoint 10 Graph all real numbers x such that...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.