PROBLEM SOLVING APPROACH (PRINT UPGRADE)
PROBLEM SOLVING APPROACH (PRINT UPGRADE)
13th Edition
ISBN: 9780135190098
Author: BILLSTEIN
Publisher: PEARSON
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Chapter 14.1A, Problem 2A
To determine

To find:

The image of BC¯ under the translation pictured in the figure by using tracing paper.

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Problem 11 (a) A tank is discharging water through an orifice at a depth of T meter below the surface of the water whose area is A m². The following are the values of a for the corresponding values of A: A 1.257 1.390 x 1.50 1.65 1.520 1.650 1.809 1.962 2.123 2.295 2.462|2.650 1.80 1.95 2.10 2.25 2.40 2.55 2.70 2.85 Using the formula -3.0 (0.018)T = dx. calculate T, the time in seconds for the level of the water to drop from 3.0 m to 1.5 m above the orifice. (b) The velocity of a train which starts from rest is given by the fol- lowing table, the time being reckoned in minutes from the start and the speed in km/hour: | † (minutes) |2|4 6 8 10 12 14 16 18 20 v (km/hr) 16 28.8 40 46.4 51.2 32.0 17.6 8 3.2 0 Estimate approximately the total distance ran in 20 minutes.
- Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p − 1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., p-1 2 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). 23 32 how come? The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. The set T is the subset of these residues exceeding So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1.
Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p-1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., 2 p-1 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. 23 The set T is the subset of these residues exceeding 2° So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1. how come?

Chapter 14 Solutions

PROBLEM SOLVING APPROACH (PRINT UPGRADE)

Ch. 14.1 - Prob. 13MCCh. 14.1 - Prob. 14MCCh. 14.1 - Prob. 15MCCh. 14.1 - Prob. 18MCCh. 14.1 - Prob. 19MCCh. 14.1 - Prob. 20MCCh. 14.1 - Prob. 21MCCh. 14.1 - Karrin claims that centers of rotation must be at...Ch. 14.1 - A student asks if the image seen through a...Ch. 14.1 - Jillian wants to know why a regular pentagon will...Ch. 14.1 - Prob. 26MCCh. 14.1 - Prob. 1NAEPCh. 14.1 - Prob. 2NAEPCh. 14.1 - Prob. 3NAEPCh. 14.1A - For each of the following, find the image of the...Ch. 14.1A - Prob. 2ACh. 14.1A - Find the coordinates of the image for each of the...Ch. 14.1A - Prob. 4ACh. 14.1A - Prob. 7ACh. 14.1A - Prob. 8ACh. 14.1A - Prob. 9ACh. 14.1A - Prob. 11ACh. 14.1A - Prob. 12ACh. 14.1A - Prob. 13ACh. 14.1A - Prob. 14ACh. 14.1A - Prob. 15ACh. 14.1A - A 1-inch blue square piece of sidewalk chalk is...Ch. 14.1A - Prob. 17ACh. 14.1A - Prob. 18ACh. 14.1A - Prob. 19ACh. 14.1A - Prob. 20ACh. 14.1A - Prob. 22ACh. 14.1A - Prob. 23ACh. 14.1A - Prob. 24ACh. 14.1A - Prob. 25ACh. 14.1A - Prob. 26ACh. 14.1A - Prob. 27ACh. 14.1A - Prob. 28ACh. 14.1B - Prob. 2ACh. 14.1B - Prob. 3ACh. 14.1B - Prob. 4ACh. 14.1B - Prob. 7ACh. 14.1B - Prob. 11ACh. 14.1B - Prob. 12ACh. 14.1B - Prob. 13ACh. 14.1B - Prob. 14ACh. 14.1B - Prob. 15ACh. 14.2 - Prob. 1MCCh. 14.2 - Prob. 2MCCh. 14.2 - Prob. 3MCCh. 14.2 - Prob. 4MCCh. 14.2 - Prob. 5MCCh. 14.2 - Prob. 6MCCh. 14.2 - Prob. 7MCCh. 14.2 - Prob. 8MCCh. 14.2 - Prob. 9MCCh. 14.2 - Prob. 13MCCh. 14.2 - Prob. 15MCCh. 14.2 - Prob. 17MCCh. 14.2 - Prob. 18MCCh. 14.2 - Prob. 19MCCh. 14.2 - Prob. 20MCCh. 14.2 - Prob. 22MCCh. 14.2 - Prob. 1NAEPCh. 14.2 - Prob. 2NAEPCh. 14.2 - Prob. 3NAEPCh. 14.2 - Prob. 4NAEPCh. 14.2 - Prob. 5NAEPCh. 14.2A - Assessment 14-2A Describe how to find the image of...Ch. 14.2A - Prob. 2ACh. 14.2A - Assessment 14-2A Determine the final result when...Ch. 14.2A - Prob. 4ACh. 14.2A - Assessment 14-2A a. Refer to the following figure...Ch. 14.2A - Prob. 6ACh. 14.2A - a. Reflect triangle ABC across line j, then across...Ch. 14.2A - Assessment 14-2A Given ABC and its reflection...Ch. 14.2A - Prob. 9ACh. 14.2A - Prob. 10ACh. 14.2A - Decide whether a reflection, a translation, a...Ch. 14.2A - a. Conjecture what the image of a point with...Ch. 14.2A - Prob. 16ACh. 14.2A - Prob. 17ACh. 14.2A - Prob. 18ACh. 14.2A - Point P is the image of P not shown under a glide...Ch. 14.2A - Consider the glide reflection determined by the...Ch. 14.2B - Prob. 1ACh. 14.2B - Prob. 2ACh. 14.2B - Determine the final result when ABCis reflection...Ch. 14.2B - Prob. 4ACh. 14.2B - Prob. 6ACh. 14.2B - Prob. 7ACh. 14.2B - Prob. 8ACh. 14.2B - Prob. 9ACh. 14.2B - Prob. 10ACh. 14.2B - Prob. 11ACh. 14.2B - Prob. 12ACh. 14.2B - Prob. 13ACh. 14.2B - Prob. 14ACh. 14.2B - Prob. 15ACh. 14.2B - In which line will the two intersecting circles...Ch. 14.2B - Prob. 18ACh. 14.2B - If PQ is the image PQ not shown under a glide...Ch. 14.2B - Prob. 20ACh. 14.2B - Prob. 21ACh. 14.3 - Prob. 1MCCh. 14.3 - Prob. 2MCCh. 14.3 - Prob. 3MCCh. 14.3 - Prob. 5MCCh. 14.3 - Prob. 6MCCh. 14.3 - Prob. 7MCCh. 14.3 - Prob. 8MCCh. 14.3 - Prob. 9MCCh. 14.3 - Prob. 10MCCh. 14.3 - Prob. 12MCCh. 14.3 - Prob. 13MCCh. 14.3 - Prob. 14MCCh. 14.3 - Prob. 15MCCh. 14.3 - Prob. 16MCCh. 14.3 - Prob. 17MCCh. 14.3A - In the following figures, describe a sequence of...Ch. 14.3A - Prob. 2ACh. 14.3A - In each of the following drawings, find...Ch. 14.3A - Prob. 4ACh. 14.3A - AB is the image of a candle AB produced by a box...Ch. 14.3A - Prob. 6ACh. 14.3A - Prob. 7ACh. 14.3A - Prob. 8ACh. 14.3A - Prob. 9ACh. 14.3A - Prob. 10ACh. 14.3A - Prob. 11ACh. 14.3A - Prob. 12ACh. 14.3A - Prob. 13ACh. 14.3B - Prob. 1ACh. 14.3B - Prob. 2ACh. 14.3B - Prob. 4ACh. 14.3B - Prob. 5ACh. 14.3B - Prob. 6ACh. 14.3B - Prob. 7ACh. 14.3B - Prob. 8ACh. 14.3B - Prob. 9ACh. 14.3B - Prob. 11ACh. 14.3B - Prob. 12ACh. 14.3B - Prob. 13ACh. 14.CR - Prob. 1CRCh. 14.CR - Prob. 2CRCh. 14.CR - Prob. 3CRCh. 14.CR - Prob. 4CRCh. 14.CR - Given that STAR in the figure shown is a...Ch. 14.CR - Prob. 6CRCh. 14.CR - Given that SNOSWO in the following figure,...Ch. 14.CR - Prob. 8CRCh. 14.CR - Prob. 9CRCh. 14.CR - Prob. 10CRCh. 14.CR - If a translation determined by (x,y)(x+3,y2) is...Ch. 14.CR - Prob. 12CRCh. 14.CR - Prob. 13CRCh. 14.CR - On a 1-m equilateral triangle pool table, a ball...Ch. 14.CR - Prob. 15CRCh. 14.CR - Prob. 16CRCh. 14.CR - Prob. 17CRCh. 14.CR - Prob. 18CRCh. 14.CR - Prob. 19CRCh. 14.CR - Prob. 21CRCh. 14.CR - Prob. 22CRCh. 14.CR - Prob. 23CRCh. 14.CR - Prob. 24CRCh. 14.CR - Prob. 25CRCh. 14.CR - Prob. 26CRCh. 14.CR - What dilation, if any, allows a line with equation...Ch. 14 - Prob. 1NT
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