Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term
12th Edition
ISBN: 9781337890199
Author: Dale Ewen
Publisher: Cengage Learning
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Textbook Question
Chapter 9.2, Problem 1E
Solve each pair of linear equations by addition. If there is one common solution, give the ordered pair of the point of intersection. If there no one common solution, tell whether the lines are parallel or coincide.
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1) a) Find a matrix P such that PT AP orthogonally diagonalizes the following matrix
A.
= [{² 1]
A =
b) Verify that PT AP gives the correct diagonal form.
2
01
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3
2) Given the following matrices A =
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1] an
and B =
0
1
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find the following matrices:
a) (AB) b) (BA)T
3) Find the inverse of the following matrix A using Gauss-Jordan elimination or
adjoint of the matrix and check the correctness of your answer (Hint: AA¯¹ = I).
[1 1 1
A = 3 5 4
L3 6 5
4) Solve the following system of linear equations using any one of Cramer's Rule,
Gaussian Elimination, Gauss-Jordan Elimination or Inverse Matrix methods and
check the correctness of your answer.
4x-y-z=1
2x + 2y + 3z = 10
5x-2y-2z = -1
5) a) Describe the zero vector and the additive inverse of a vector in the vector
space, M3,3.
b) Determine if the following set S is a subspace of M3,3 with the standard
operations. Show all appropriate supporting work.
Find the Laplace Transform of the function to express it in frequency domain form.
Please draw a graph that represents the system of equations f(x) = x2 + 2x + 2 and g(x) = –x2 + 2x + 4?
Chapter 9 Solutions
Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term
Ch. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 2ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Draw the graphs of each pair of linear equations....
Ch. 9.1 - Prob. 11ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 21ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Solve Exercises 27-30 graphically: In a concrete...Ch. 9.1 - Prob. 30ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - Prob. 42ECh. 9.2 - Prob. 43ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 10ECh. 9.3 - Prob. 11ECh. 9.3 - Prob. 12ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - Prob. 16ECh. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - Prob. 20ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - Prob. 24ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 26ECh. 9.4 - A board 96 cm long is cut into two pieces so that...Ch. 9.4 - Find the capacity of two trucks if 6 trips of the...Ch. 9.4 - A plumbing contractor decides to field-test two...Ch. 9.4 - A bricklayer lays an average of 150 bricks per...Ch. 9.4 - Two welders worked a total of 48 h on a project....Ch. 9.4 - A contractor finds a bill for $1110 for 720...Ch. 9.4 - A farmer has two types of feed. One has 5%...Ch. 9.4 - A dairy farmer wants to make 125 lb of 12%...Ch. 9.4 - A farmer sells corn for $6.00/bu and soybeans for...Ch. 9.4 - A farmer has a 1.4% solution and a 2.9% solution...Ch. 9.4 - A farmer has a 6% solution and a 12% solution of...Ch. 9.4 - The sum of two capacitors is 85 microfarads (F)....Ch. 9.4 - Nine batteries are hooked in series to provide a...Ch. 9.4 - In a parallel circuit, the total current passing...Ch. 9.4 - How much of an 8% solution and a 12% solution...Ch. 9.4 - The total current in a parallel circuit with seven...Ch. 9.4 - A small single-cylinder engine was operated on a...Ch. 9.4 - In testing a hybrid engine, various solutions of...Ch. 9.4 - An engine on a test stand was operated at two...Ch. 9.4 - A technician stores a parts cleaner as a 65%...Ch. 9.4 - Amy has a 3% solution and an 8% solution of a...Ch. 9.4 - A lawn seed mix containing 8% bluegrass is mixed...Ch. 9.4 - When three identical compressors and five air...Ch. 9.4 - A hospital has 35% saline solution on hand. How...Ch. 9.4 - A nurse gives 1000 mL of an intravenous (IV)...Ch. 9.4 - A hospital has a 4% saline solution and an 8%...Ch. 9.4 - A medication is available in 2-mL vials and in...Ch. 9.4 - A salesman turns in a ticket on two carpets for...Ch. 9.4 - An apartment owner rents one-bedroom apartments...Ch. 9.4 - A sporting goods store carries two types of...Ch. 9.4 - The sum of two resistors is 550 . One is 4.5 times...Ch. 9.4 - The ratio of gravel to cement in a concrete mix is...Ch. 9.4 - A wire 120 cm long is to be cut into two pieces so...Ch. 9.4 - The sum of two resistances is 1500 . The larger is...Ch. 9.4 - A rectangle is twice as long as it is wide. Its...Ch. 9.4 - A duct from a furnace forks into two ducts. The...Ch. 9.4 - The sum of three currents is 210 mA. Two currents...Ch. 9.4 - An experienced welder makes 53 as many welds as a...Ch. 9.4 - On a survey plat, the perimeter of a rectangular-...Ch. 9.4 - A supply duct is to run the perimeter of a...Ch. 9.4 - In a drawing, the perimeter of a room is 40 ft. If...Ch. 9.4 - A rectangular walkway in front of an office...Ch. 9.4 - If the length of a building is 212 times the width...Ch. 9.4 - The center-to-center distance between a fan and a...Ch. 9.4 - A carpenter starts with a board that is 12 ft long...Ch. 9.4 - Taughannock Falls near Ithaca, New York, is about...Ch. 9.4 - Ground corn and soybean meal are blended to...Ch. 9.4 - Two rental airplanes were flown a total of 54 h in...Ch. 9.4 - Jim bought both a municipal bond paying 3.5% and a...Ch. 9.4 - Chef Ruth has 90% lean ground beef and also 75%...Ch. 9.4 - A coffee shop has tables that seat 6 guests and...Ch. 9.4 - The Open Late Restaurant sells chili in cups and...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Solve each system of equations: x+y=72xy=2Ch. 9 - Solve each system of equations: 3x+2y=11x+2y=5Ch. 9 - Solve each system of equations: 3x5y=32x3y=1Ch. 9 - Solve each system of equations: 2x3y=14x6y=5Ch. 9 - Solve each system of equations: 3x+5y=86x4y=44Ch. 9 - Solve each system of equations: 5x+7y=224x+8y=20Ch. 9 - Solve each system of equations: x+2y=33x+6y=9Ch. 9 - Solve each system of equations: 3x+5y=52y=2xCh. 9 - Solve each system of equations: 5y4x=6x=12yCh. 9 - Solve each system of equations: 3x7y=69y=4x+5Ch. 9 - You can buy twenty 20-amp electrical switches and...Ch. 9 - The sum of the length and width of a rectangular...Ch. 9 - The sum of two inductors is 90 millihenrys (mH)....Ch. 9 - The sum of two lengths is 90 ft, and their...Ch. 9 - Solve each system of equations by the method...Ch. 9 - Prob. 2TCh. 9 - Prob. 3TCh. 9 - Prob. 4TCh. 9 - Prob. 5TCh. 9 - Prob. 6TCh. 9 - Prob. 7TCh. 9 - Prob. 8TCh. 9 - Prob. 9TCh. 9 - The perimeter of a rectangular lot is 600 m. The...Ch. 9 - The sum of two resistances is 550 . The difference...
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