Mathematics for Elementary Teachers with Activities, Loose-Leaf Version Plus MyLab Math -- Access Card Package (5th Edition)

5th Edition

ISBN: 9780134800196

Author: Sybilla Beckmann

Publisher: PEARSON

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Textbook Question

Chapter 11.2, Problem 6P

Suppose there are 2 rectangular pools: One is 30 feet wide, 60 feet long. and 5 feet deep throughout, and the other is 40 feet wide. 50 feet long, and 4 feet deep throughout. Show that each pool can be considered “biggest" by comparing the sizes of the pools in two meaningful ways other than by comparing one dimensional aspects of the pools.

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Chapter 11.2, Problem 5P

Chapter 11.2, Problem 7P

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(1) Let F be a field, show that the vector space F,NEZ* be a finite dimension. (2) Let P2(x) be the vector space of polynomial of degree equal or less than two and M={a+bx+cx²/a,b,cЄ R,a+b=c),show that whether Mis hyperspace or not. (3) Let A and B be a subset of a vector space such that ACB, show that whether: (a) if A is convex then B is convex or not. (b) if B is convex then A is convex or not. (4) Let R be a field of real numbers and X=R, X is a vector space over R show that by definition the norms/II.II, and II.112 on X are equivalent where Ilxll₁ = max(lx,l, i=1,2,...,n) and llxll₂=(x²). oper (5) Let Ⓡ be a field of real numbers, Ⓡis a normed space under usual operations and norm, let E=(2,5,8), find int(E), b(E) and D(E). (6) Write the definition of bounded linear function between two normed spaces and write with prove the relation between continuous and bounded linear function between two normed spaces.

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Chapter 11 Solutions

Mathematics for Elementary Teachers with Activities, Loose-Leaf Version Plus MyLab Math -- Access Card Package (5th Edition)

Ch. 11.1 - For each of the following metric units, give...Ch. 11.1 - For each of the following items, state which U.S....Ch. 11.1 - What does it mean to say that a shape has an area...Ch. 11.1 - Discuss why it is easy to give an incorrect...Ch. 11.1 - Discuss: Why is it not completely correct to...Ch. 11.1 - Describe how it could happen that three different...Ch. 11.1 - Pick two ideas or concepts from your reading of...Ch. 11.1 - Visit a store and write down at least 10 different...Ch. 11.2 - Describe one-dimensional, two-dimensional, and...Ch. 11.2 - Describe one-dimensional, two-dimensional, and...

Ch. 11.2 - Drawing on your reading from this section,...Ch. 11.2 - Describe one-dlmenslonal, two-dlmenslonal, and...Ch. 11.2 - The Lazy Daze Pool Club and the Slumber-N-Sunshine...Ch. 11.2 - Suppose there are 2 rectangular pools: One is 30...Ch. 11.2 - Minh says that the rectangle on the left in Flgure...Ch. 11.3 - One source says that the average distance from the...Ch. 11.3 - If an object is described as weighing 6.20 grams,...Ch. 11.3 - Tyra ls calculating the distance from town A to...Ch. 11.3 - John has a paper square that he believes is 100 cm...Ch. 11.3 - Sally has a Plexiglas cube that she believes is...Ch. 11.4 - A recipe calls tor 4 ounces ot chocolate. If you...Ch. 11.4 - A class needs 27 pieces of ribbon, each piece 2...Ch. 11.4 - To convert 24 yards to feet, should you multiply...Ch. 11.4 - To convert 2000 kilometers to meters, should you...Ch. 11.4 - Shauntay used identical plastic bears to measure...Ch. 11.4 - A car is 16 feet, 3 inches long. How long is it in...Ch. 11.4 - The distance between two cities is described as...Ch. 11.4 - In Germany, people often drive 130 kilometers per...Ch. 11.4 - One foot is 12 inches. Does this mean that 1...Ch. 11.4 - A room has a floor area of 48 square yards. What...Ch. 11.4 - One kilometer is 1000 meters. Does this mean that...Ch. 11.4 - One foot is 12 inches. Does this mean that 1 cubic...Ch. 11.4 - How much mulch will you need to cover a...Ch. 11.4 - A classroom has a floor area of 600 square feet....Ch. 11.4 - A house has a floor area of 800 square meters....Ch. 11.4 - A house has a floor area of 250 square meters....Ch. 11.4 - The Smiths will be carpeting a room in their...Ch. 11.4 - One acre is 43,560 square feet. If a square piece...Ch. 11.4 - A construction company has dump trucks that hold...Ch. 11.4 - The following questlon explores why It doesn’t...Ch. 11.4 - A penny is 116 of an inch thick. Suppose you have...Ch. 11.4 - Write 100 zeros on a piece of paper and time how...Ch. 11.4 - For a certain type of rice, about 50 grains till a...Ch. 11.4 - Assuming that 1 gram of gold is worth $30 how much...Ch. 11.4 - Imagine that all the people on earth could stand...Ch. 11.4 - Joey has a toy car that is a 1: 64 scale model of...

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