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 12.4A, Problem 10A
To determine
(a)
To find:
The value of
To determine
(b)
To find:
The value
To determine
(c)
To find:
The value
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Design a Turing Machine recognizing each of the following languages and draw its state diagram.
Note that the transition functions of the Turing Machine must be in the format of “a → b,L/R", namely the machine
reads single symbol a from the tape, writes single symbol b to the cell to replace a, and then goes to either left L or
right R. You will receive 0 point if you do not follow this instruction.
(1) {w|w=a²b³, n ≥ 0}
(2) {w|w=a'b³,i0}
(3) {w|w a'bick,i
Design a PDA recognizing each of the following languages and draw its state diagram.
Note that the transition function must be in the format of “a, b →c", namely we can only push/pop one symbol
into/from the stack one time upon one input symbol. You will receive 0 point if you push/pop multiple symbols
into/from the stack one time upon one input symbol.
(1) {w|wa"b", n is odd}
=
(2) {w|w=w², length of w is odd and Σ = {a,b} }
(3) {w|w= = a²b²n, n ≥1 }
(4) {w|w=
=a^bn+mcm, n≥0, m ≥ 1 }
(5) {w|w=a²b³n, n≥0}
(6) {w|w= = a¹³, n ≥ 1, m≥ 1 and n‡m }
Hint: two cases: n > m and n
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LARLINALG8 7.4.013.
Solve the system of first-order linear differential equations. (Use C1 and C2 as constants.)
Y1' = -4Y1
Y2' =
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3
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SUBMIT ANSWER
5. [-/3 Points]
DETAILS
MY NOTES
LARLINALG8 7.4.019.
Solve the system of first-order linear differential equations. (Use C1, C2, C3, and C4 as constants.)
Y1' = 6y1
Y2' =
2y2
Y3' = -643
Y4' = -2y4
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G Use the Principal Axes The X G cot(0) - Google Search
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LARLINALG8 7.4.023.
Solve the system of first-order linear differential equations. (Use C1 and C2 as constants.)
ASK YOUR TEACHER
Y1' = Y1 + 5y2
Y2'…
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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