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51. Let L, W, and P denote the length, width, and perimeter of a rectangle, respectively, and suppose that the length of the rectangle is twice the width. a. Express L as a function of W. b. Express P as a function of L. с. Express P as a function of W.

51. Let L, W, and P denote the length, width, and perimeter of a rectangle, respectively, and suppose that the length of the rectangle is twice the width. a. Express L as a function of W. b. Express P as a function of L. с. Express P as a function of W.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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51. Let L, W, and P denote the length, width, and perimeter of a rectangle, respectively, and suppose that the length of the rectangle is twice the width. a. Express L as a function of W. b. Express P as a function of L. c. Express P as a function of W. 52. The following table shows the predictions of high and low pressures in kilopascals in 5 succeeding hours. a. Is y a function of x? If so, give the domain and range of this function. b. Ifx and y denote low and high pressures, respectively, is y a function of x? If so, give the domain and range of this function. High 112 106 98 105 110 (x) Low 78 84 72 75 78 (v) 53. Let A = {ne Zn is even}. Is A closed under addition and multiplication? 54. Let B = {neZn is odd}. Is A closed under addition and multiplication? 55. A binary operation * on a set S is commutative if a*b = a*b for all a,be S. Define * on the set of real numbers R as a*b = ab + 1. Is * commutative? If no, find a counter example.
Transcribed Image Text:51. Let L, W, and P denote the length, width, and perimeter of a rectangle, respectively, and suppose that the length of the rectangle is twice the width. a. Express L as a function of W. b. Express P as a function of L. c. Express P as a function of W. 52. The following table shows the predictions of high and low pressures in kilopascals in 5 succeeding hours. a. Is y a function of x? If so, give the domain and range of this function. b. Ifx and y denote low and high pressures, respectively, is y a function of x? If so, give the domain and range of this function. High 112 106 98 105 110 (x) Low 78 84 72 75 78 (v) 53. Let A = {ne Zn is even}. Is A closed under addition and multiplication? 54. Let B = {neZn is odd}. Is A closed under addition and multiplication? 55. A binary operation * on a set S is commutative if a*b = a*b for all a,be S. Define * on the set of real numbers R as a*b = ab + 1. Is * commutative? If no, find a counter example.
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