A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
12th Edition
ISBN: 9780321987297
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott
Publisher: PEARSON
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Chapter 12.1A, Problem 14A
To determine
To sketch:
A
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Suppose that a room containing 1300 cubic feet of air is originally free of carbon monoxide (CO). Beginning
at time t = 0, cigarette smoke containing 4% CO is introduced into the room at a rate of 0.8 cubic feet per
minute. The well-circulated smoke and air mixture is allowed to leave the room at the same rate.
Let A(t) represent the amount of CO in the room (in cubic feet) after t minutes.
(A) Write the DE model for the time rate of change of CO in the room. Also state the initial condition.
dA
dt
A(0)
(B) Solve the IVP to find the amount of CO in the room at any time t > 0.
A(t)
(C) Extended exposure to a CO concentration as low as 0.00012 is harmful to the human body. Find the time
at which this concentration is reached.
t=
minutes
2
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8 9 10
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The curve above is the graph of a sinusoidal function. It goes through the points (-10, -1) and (4, -1).
Find a sinusoidal function that matches the given graph. If needed, you can enter π-3.1416... as 'pi' in your
answer, otherwise use at least 3 decimal digits.
f(x) =
> Next Question
4. Use method of separation of variable to solve the following wave equation
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Chapter 12 Solutions
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
Ch. 12.1 - If quadrilateral ABCDEFGH, then complete the...Ch. 12.1 - Can you construct a triangle using the lengths...Ch. 12.1 - A triangle has two sides of length 10cm and 14cm....Ch. 12.1 - For the figure below, answer the following. a. If...Ch. 12.1 - In a circle with centre A and radius AB, let P be...Ch. 12.1 - Prob. 6MCCh. 12.1 - Prob. 7MCCh. 12.1 - Prob. 8MCCh. 12.1 - Prob. 9MCCh. 12.1 - Explain why the quadrilateral ABCD is a kite.
Ch. 12.1 - To draw the perpendicular to a line l through a...Ch. 12.1 - In the following drawing a compass is used to draw...Ch. 12.1 - Prob. 13MCCh. 12.1 - Prob. 14MCCh. 12.1 - Prob. 16MCCh. 12.1 - Prob. 17MCCh. 12.1 - Prob. 18MCCh. 12.1 - Prob. 19MCCh. 12.1 - Prob. 20MCCh. 12.1 - A student claims that all squares are congruent...Ch. 12.1 - Joel claims that the following triangles are...Ch. 12.1 - On a test, a student wrote the answer as ABCD...Ch. 12.1 - Prob. 24MCCh. 12.1 - Zara claims that in spite of the fact that every...Ch. 12.1 - Prob. 1NAEPCh. 12.1 - Which two figures are congruent? a. E and H b. F...Ch. 12.1A - If CATDOG, which of the following, if any, is...Ch. 12.1A - In TRI and ABC, TRAB, RIBC, and ITCA. Which angle...Ch. 12.1A - Find two congruent triangles in the following...Ch. 12.1A - A truss used in house construction to strengthen...Ch. 12.1A - Prob. 5ACh. 12.1A - Prob. 6ACh. 12.1A - Prob. 7ACh. 12.1A - Prob. 8ACh. 12.1A - Given three points in the plane, is it always...Ch. 12.1A - Prob. 10ACh. 12.1A - Prob. 11ACh. 12.1A - Prob. 12ACh. 12.1A - Prob. 14ACh. 12.1A - Prob. 15ACh. 12.1A - Prob. 16ACh. 12.1A - Prob. 18ACh. 12.1A - Prob. 19ACh. 12.1A - Draw a segment. Then use any instruments to...Ch. 12.1A - Prob. 21ACh. 12.1A - Prob. 22ACh. 12.1A - Given three points in the plane, is it always...Ch. 12.1B - Prob. 1ACh. 12.1B - Prob. 2ACh. 12.1B - Prob. 3ACh. 12.1B - Prob. 4ACh. 12.1B - Prove that if the convex quadrilateral ABCD has...Ch. 12.1B - Find the measure of C in the following figure.Ch. 12.1B - Prob. 7ACh. 12.1B - Prob. 8ACh. 12.1B - For each of the following, determine whether the...Ch. 12.1B - Prob. 10ACh. 12.1B - Prob. 11ACh. 12.1B - Prob. 13ACh. 12.1B - Prob. 14ACh. 12.1B - Let ABCD be a square with diagonals AC and BD...Ch. 12.1B - Prob. 19ACh. 12.1B - Prob. 20ACh. 12.1B - Prob. 21ACh. 12.2 - MATHEMATICAL CONNECTIONS a. If you know 4 parts...Ch. 12.2 - List all the methods you know to prove that two...Ch. 12.2 - Prob. 3MCCh. 12.2 - In making a quilt block out of congruence right...Ch. 12.2 - Prob. 5MCCh. 12.2 - Prob. 6MCCh. 12.2 - Prob. 7MCCh. 12.2 - Prob. 8MCCh. 12.2 - MATHEMATICAL CONNECTIONS The marked angles and a...Ch. 12.2 - Prob. 14MCCh. 12.2 - Prob. 15MCCh. 12.2 - MATHEMATICAL CONNECTIONS A student asks why...Ch. 12.2 - A student says that she knows that a parallelogram...Ch. 12.2 - Prob. 18MCCh. 12.2 - Prob. 19MCCh. 12.2 - In the following regular pentagon, use the...Ch. 12.2 - If possible, construct a triangle that has the...Ch. 12.2 - MATHEMATICAL CONNECTIONS Construct an equilateral...Ch. 12.2 - MATHEMATICAL CONNECTIONS For each of the following...Ch. 12.2A - Construct each of the following figures, if...Ch. 12.2A - ASSESSMENT For each of the conditions in exercise...Ch. 12.2A - ASSESSMENT For each of the following, determine...Ch. 12.2A - Prob. 4ACh. 12.2A - List congruent triangles, if any, for each of the...Ch. 12.2A - Prob. 6ACh. 12.2A - Suppose ABCDEF, find the following measures. a....Ch. 12.2A - Prob. 8ACh. 12.2A - Given ADEC and BDBC, Prove ABDEBC.Ch. 12.2A - Prob. 10ACh. 12.2A - In each of the following statements, identify the...Ch. 12.2A - Prob. 12ACh. 12.2A - ASSESSMENT Classify each of the following...Ch. 12.2A - Prob. 15ACh. 12.2A - Prob. 16ACh. 12.2A - The game of Triominoes has equilateral-triangular...Ch. 12.2A - ASSESSMENT In the rectangle ABCD shown, X and Y...Ch. 12.2A - Prob. 20ACh. 12.2A - Prob. 21ACh. 12.2A - Prob. 22ACh. 12.2A - ASSESSMENT What minimum information is sufficient...Ch. 12.2A - Prob. 25ACh. 12.2B - Prob. 1ACh. 12.2B - Prob. 3ACh. 12.2B - Prob. 6ACh. 12.2B - Prob. 7ACh. 12.2B - Prob. 8ACh. 12.2B - Prob. 9ACh. 12.2B - Prob. 10ACh. 12.2B - Prob. 11ACh. 12.2B - Prob. 12ACh. 12.2B - Prob. 14ACh. 12.2B - Prob. 15ACh. 12.2B - Prob. 16ACh. 12.2B - Prob. 17ACh. 12.2B - Prob. 18ACh. 12.2B - Prob. 20ACh. 12.2B - ASSESSMENT What minimum information sufficient to...Ch. 12.2B - Prob. 22ACh. 12.2B - Prob. 23ACh. 12.3 - Mathematical Connections Draw a line l and a point...Ch. 12.3 - In the figure below, AC=30. Explain why or why not...Ch. 12.3 - Prob. 3MCCh. 12.3 - a. Construct a circle O and draw two diameters....Ch. 12.3 - Mathematical Connections Place three dots, A,B and...Ch. 12.3 - Mathematical Connections Lines l and m intersect...Ch. 12.3 - Mathematical Connections Given an angle and a roll...Ch. 12.3 - Mathematical Connections If two pieces of tape of...Ch. 12.3 - Prob. 9MCCh. 12.3 - Prob. 10MCCh. 12.3 - Prob. 12MCCh. 12.3 - Prob. 13MCCh. 12.3 - Each member of the group should cut out a large...Ch. 12.3 - Prob. 15MCCh. 12.3 - MATHEMATICAL CONNECTIONS A student asked if a line...Ch. 12.3 - Prob. 17MCCh. 12.3 - MATHEMATICAL CONNECTIONS A student wants to know...Ch. 12.3 - Prob. 20MCCh. 12.3 - Use inductive reasoning to answer the following....Ch. 12.3 - Mathematical Connections In the following figure,...Ch. 12.3 - Mathematical Connections Draw ABC. Then construct...Ch. 12.3 - Mathematical Connections Given two right...Ch. 12.3 - Mathematical Connections Find the value of x.Ch. 12.3A - Prob. 2ACh. 12.3A - Prob. 3ACh. 12.3A - Prob. 4ACh. 12.3A - Prob. 5ACh. 12.3A - Prob. 6ACh. 12.3A - Prob. 7ACh. 12.3A - Prob. 8ACh. 12.3A - Prob. 10ACh. 12.3A - Prob. 11ACh. 12.3A - Prob. 12ACh. 12.3A - Prob. 13ACh. 12.3A - Prob. 14ACh. 12.3A - Describe how to construct the incircle of a...Ch. 12.3A - Prob. 16ACh. 12.3A - Prob. 17ACh. 12.3A - Prob. 18ACh. 12.3A - Use compass and straightedge to construct angles...Ch. 12.3A - Prob. 21ACh. 12.3A - Prob. 22ACh. 12.3A - Construct a circle. Then construct an equilateral...Ch. 12.3B - Prob. 3ACh. 12.3B - Mathematical Connections In the figure, OP is the...Ch. 12.3B - Prob. 5ACh. 12.3B - Assessment Construct an obtuse triangle and the...Ch. 12.3B - Prob. 7ACh. 12.3B - Prob. 8ACh. 12.3B - Prob. 9ACh. 12.3B - Prob. 10ACh. 12.3B - Prob. 11ACh. 12.3B - Prob. 13ACh. 12.3B - Prob. 14ACh. 12.3B - Prob. 15ACh. 12.3B - Prob. 16ACh. 12.3B - ASSESSMENT Explain why any rectangle can be...Ch. 12.3B - Prob. 18ACh. 12.3B - Prob. 19ACh. 12.3B - Prob. 20ACh. 12.3B - Prob. 21ACh. 12.3B - Given a circle, find an equilateral triangle for...Ch. 12.4 - Prob. 1MCCh. 12.4 - Write a description of what it takes for two...Ch. 12.4 - If two isosceles triangle have non-base angles of...Ch. 12.4 - If two right triangles have hypotenuses that are...Ch. 12.4 - Prob. 5MCCh. 12.4 - Prob. 6MCCh. 12.4 - Prob. 7MCCh. 12.4 - Prob. 8MCCh. 12.4 - Prob. 9MCCh. 12.4 - If two figures are similar but not congruent, how...Ch. 12.4 - How are the SSS and SAS similarity thoerems like...Ch. 12.4 - Prob. 12MCCh. 12.4 - Prob. 13MCCh. 12.4 - Prob. 14MCCh. 12.4 - Prob. 15MCCh. 12.4 - Prob. 16MCCh. 12.4 - Prob. 17MCCh. 12.4 - Prob. 18MCCh. 12.4 - Prob. 19MCCh. 12.4 - Prob. 20MCCh. 12.4 - A student asks whether there is an ASA similarity...Ch. 12.4 - Describe a minimal set of conditions that can be...Ch. 12.4 - The figure below shows two right angles. The...Ch. 12.4 - Prob. 2NAEPCh. 12.4A - Prob. 1ACh. 12.4A - Prob. 2ACh. 12.4A - Prob. 3ACh. 12.4A - Prob. 4ACh. 12.4A - Prob. 5ACh. 12.4A - Prob. 7ACh. 12.4A - Prob. 8ACh. 12.4A - Prob. 9ACh. 12.4A - Prob. 10ACh. 12.4A - Prob. 11ACh. 12.4A - A photocopy of a polygon was reduced by 80 and...Ch. 12.4A - Sketch two hexagons with corresponding sides...Ch. 12.4A - Prob. 15ACh. 12.4A - Prob. 16ACh. 12.4A - In the following figure, find the distance AB...Ch. 12.4A - Prob. 18ACh. 12.4A - Prob. 19ACh. 12.4A - a. Examine several examples of similar polygons...Ch. 12.4A - Prob. 21ACh. 12.4A - The midpoints M,N,P,Q of the sides of a...Ch. 12.4A - Prob. 23ACh. 12.4A - Prob. 24ACh. 12.4B - School pictures come in 8in.by10in., 5in.by7in....Ch. 12.4B - Prob. 2ACh. 12.4B - Prob. 4ACh. 12.4B - Prob. 5ACh. 12.4B - Prob. 9ACh. 12.4B - Prob. 12ACh. 12.4B - Prob. 13ACh. 12.4B - Prob. 14ACh. 12.4B - To find the height of a tree, a group of Girl...Ch. 12.4B - Prob. 17ACh. 12.4B - Prob. 18ACh. 12.4B - Prob. 19ACh. 12.4B - Prob. 20ACh. 12.4B - a. In the figure, ABCD is a trapezoid, M is the...Ch. 12.4B - ABCD is a convex quadrilateral and M,N,P,Q are the...Ch. 12.4B - Prob. 23ACh. 12.4B - Prob. 24ACh. 12.CR - Each of the following figures contains at least...Ch. 12.CR - Prob. 2CRCh. 12.CR - Prob. 3CRCh. 12.CR - Prob. 4CRCh. 12.CR - Prob. 5CRCh. 12.CR - Prob. 6CRCh. 12.CR - Prob. 7CRCh. 12.CR - Prob. 8CRCh. 12.CR - Prob. 9CRCh. 12.CR - Prob. 10CRCh. 12.CR - Prob. 11CRCh. 12.CR - Prob. 12CRCh. 12.CR - Prob. 13CRCh. 12.CR - Prob. 14CRCh. 12.CR - Prob. 15CRCh. 12.CR - Prob. 16CRCh. 12.CR - Determine the vertical height of playground slide...Ch. 12.CR - Prob. 18CRCh. 12.CR - Prob. 19CRCh. 12.CR - Prob. 20CRCh. 12.CR - Prob. 21CRCh. 12.CR - ABCD is a trapezoid with BCAD. Points M and N are...Ch. 12.CR - Prob. 23CRCh. 12 - Assume ABCDEF. a. List the congruent angles and...Ch. 12 - Prob. 2NTCh. 12 - Prob. 3NTCh. 12 - Prob. 4NTCh. 12 - Prob. 5NTCh. 12 - Prob. 6NTCh. 12 - Prob. 7NTCh. 12 - Prob. 8NTCh. 12 - Are all right triangles in which the hypotenuse is...
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