COLLEGE ALGEBRA-MYMATHLAB
8th Edition
ISBN: 9780136970613
Author: Blitzer
Publisher: PEARSON
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Chapter 7.1, Problem 6E
To determine
The graph of the ellipse and locate the foci.
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Name
Assume there is the following simplified grade book:
Homework Labs | Final Exam | Project
Avery
95
98
90
100
Blake
90
96
Carlos
83
79
Dax
55
30
228
92
95
79
90
65
60
Assume that the weights used to compute the final grades are homework 0.3, labs 0.2,
the final 0.35, and the project 0.15.
| Write an explicit formula to compute Avery's final grade using a single
inner product.
Write an explicit formula to compute everyone's final grade simultane-
ously using a single matrix-vector product.
1. Explicitly compute by hand (with work shown) the following Frobenius inner
products
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Let
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D =
0
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0
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05 0
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Either explicitly compute D-¹ or explain why it doesn't exist.
Chapter 7 Solutions
COLLEGE ALGEBRA-MYMATHLAB
Ch. 7.1 - The set of all points in a plane the sum of whose...Ch. 7.1 - Consider the following equation in standard form:...Ch. 7.1 - Prob. 3CVCCh. 7.1 - Consider an ellipse centered at the origin whose...Ch. 7.1 - Prob. 5CVCCh. 7.1 - If the center of an ellipse is (3. -2), the major...Ch. 7.1 - Prob. 7CVCCh. 7.1 - In he equation 3(x2 + 4x) + (4y2 - 2y) = 32 we...Ch. 7.1 - In Exercises 1-18, graph each ellipse and locate...Ch. 7.1 - Prob. 2E
Ch. 7.1 - Prob. 3ECh. 7.1 - In Exercises 1-18, graph each ellipse and locate...Ch. 7.1 - Prob. 5ECh. 7.1 - Prob. 6ECh. 7.1 - Prob. 7ECh. 7.1 - Prob. 8ECh. 7.1 - Prob. 9ECh. 7.1 - Prob. 10ECh. 7.1 - Prob. 11ECh. 7.1 - In Exercises 1-18, graph each ellipse and locate...Ch. 7.1 - In Exercises 1-18, graph each ellipse and locate...Ch. 7.1 - Prob. 14ECh. 7.1 - Prob. 15ECh. 7.1 - Prob. 16ECh. 7.1 - In Exercises 1-18, graph each ellipse and locate...Ch. 7.1 - Prob. 18ECh. 7.1 - Prob. 19ECh. 7.1 - Prob. 20ECh. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - In Exercises 19-24, find the standard form of the...Ch. 7.1 - In Exercises 19- find the standard form of the...Ch. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Prob. 27ECh. 7.1 - Prob. 28ECh. 7.1 - In Exercises 25-36, find the standard form of die...Ch. 7.1 - Prob. 30ECh. 7.1 - In Exercises 25-36, find the standard form of the...Ch. 7.1 - Prob. 32ECh. 7.1 - Prob. 33ECh. 7.1 - In Exercises 25-36, find the standard form of the...Ch. 7.1 - Prob. 35ECh. 7.1 - Prob. 36ECh. 7.1 - Prob. 37ECh. 7.1 - Prob. 38ECh. 7.1 - Prob. 39ECh. 7.1 - Prob. 40ECh. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - Prob. 43ECh. 7.1 - Prob. 44ECh. 7.1 - Prob. 45ECh. 7.1 - Prob. 46ECh. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.1 - Prob. 49ECh. 7.1 - Prob. 50ECh. 7.1 - Prob. 51ECh. 7.1 - Prob. 52ECh. 7.1 - Prob. 53ECh. 7.1 - Prob. 54ECh. 7.1 - Prob. 55ECh. 7.1 - Prob. 56ECh. 7.1 - Prob. 57ECh. 7.1 - Prob. 58ECh. 7.1 - Prob. 59ECh. 7.1 - Prob. 60ECh. 7.1 - Prob. 61ECh. 7.1 - Prob. 62ECh. 7.1 - Prob. 63ECh. 7.1 - Prob. 64ECh. 7.1 - Prob. 65ECh. 7.1 - Prob. 66ECh. 7.1 - Prob. 67ECh. 7.1 - Prob. 68ECh. 7.1 - Prob. 69ECh. 7.1 - A semielliptic archway has a height of 20 feet and...Ch. 7.1 - Prob. 71ECh. 7.1 - Prob. 72ECh. 7.1 - Prob. 73ECh. 7.1 - Describe how to graph x225+y216=1.Ch. 7.1 - Prob. 75ECh. 7.1 - Describe one similarity and one difference between...Ch. 7.1 - Prob. 77ECh. 7.1 - Prob. 78ECh. 7.1 - Use a graphing utility to graph any five of the...Ch. 7.1 - Use a graphing utility to graph any three of the...Ch. 7.1 - Prob. 81ECh. 7.1 - Prob. 82ECh. 7.1 - Prob. 83ECh. 7.1 - Prob. 84ECh. 7.1 - Prob. 85ECh. 7.1 - Prob. 86ECh. 7.1 - Prob. 87ECh. 7.1 - Prob. 88ECh. 7.1 - The equation of the red ellipse in the figure...Ch. 7.1 - Prob. 90ECh. 7.1 - Prob. 91ECh. 7.1 - Prob. 92ECh. 7.1 - Prob. 93ECh. 7.1 - Prob. 94ECh. 7.1 - Prob. 95ECh. 7.1 - Exercises 94-96 will help you prepare for the...Ch. 7.2 - Fill in each blank so that the resulting statement...Ch. 7.2 - The vertices of x225y29=1 are ____________ and...Ch. 7.2 - Prob. 3CVCCh. 7.2 - Prob. 4CVCCh. 7.2 - Prob. 5CVCCh. 7.2 - Prob. 6CVCCh. 7.2 - Prob. 7CVCCh. 7.2 - Prob. 8CVCCh. 7.2 - Prob. 9CVCCh. 7.2 - In the equation 9(x2 - 8x) - 16(y2 + 2y) = 16, we...Ch. 7.2 - Prob. 1ECh. 7.2 - Prob. 2ECh. 7.2 - Prob. 3ECh. 7.2 - Prob. 4ECh. 7.2 - Prob. 5ECh. 7.2 - Prob. 6ECh. 7.2 - Prob. 7ECh. 7.2 - Prob. 8ECh. 7.2 - In Exercises 5-12, find the standard form of the...Ch. 7.2 - Prob. 10ECh. 7.2 - Prob. 11ECh. 7.2 - Prob. 12ECh. 7.2 - Prob. 13ECh. 7.2 - Prob. 14ECh. 7.2 - Prob. 15ECh. 7.2 - Prob. 16ECh. 7.2 - Prob. 17ECh. 7.2 - Prob. 18ECh. 7.2 - Prob. 19ECh. 7.2 - Prob. 20ECh. 7.2 - Prob. 21ECh. 7.2 - Prob. 22ECh. 7.2 - Prob. 23ECh. 7.2 - Prob. 24ECh. 7.2 - Prob. 25ECh. 7.2 - Prob. 26ECh. 7.2 - Prob. 27ECh. 7.2 - Prob. 28ECh. 7.2 - Prob. 29ECh. 7.2 - Prob. 30ECh. 7.2 - Prob. 31ECh. 7.2 - Prob. 32ECh. 7.2 - Prob. 33ECh. 7.2 - Prob. 34ECh. 7.2 - Prob. 35ECh. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - Prob. 39ECh. 7.2 - Prob. 40ECh. 7.2 - Prob. 41ECh. 7.2 - Prob. 42ECh. 7.2 - Prob. 43ECh. 7.2 - Prob. 44ECh. 7.2 - Prob. 45ECh. 7.2 - Prob. 46ECh. 7.2 - Prob. 47ECh. 7.2 - Prob. 48ECh. 7.2 - Prob. 49ECh. 7.2 - Prob. 50ECh. 7.2 - Prob. 51ECh. 7.2 - Prob. 52ECh. 7.2 - Prob. 53ECh. 7.2 - Prob. 54ECh. 7.2 - Prob. 55ECh. 7.2 - Prob. 56ECh. 7.2 - Prob. 57ECh. 7.2 - Prob. 58ECh. 7.2 - Prob. 59ECh. 7.2 - Prob. 60ECh. 7.2 - Prob. 61ECh. 7.2 - Radio lowers a and b, 200 kilometers apart, are...Ch. 7.2 - Prob. 63ECh. 7.2 - Prob. 64ECh. 7.2 - Prob. 65ECh. 7.2 - Prob. 66ECh. 7.2 - Prob. 67ECh. 7.2 - Prob. 68ECh. 7.2 - Prob. 69ECh. 7.2 - Describe one similarity and one difference between...Ch. 7.2 - Describe one similarity and one difference between...Ch. 7.2 - Prob. 72ECh. 7.2 - In 1992, a NASA team began a project called...Ch. 7.2 - Prob. 74ECh. 7.2 - Prob. 75ECh. 7.2 - Prob. 76ECh. 7.2 - Prob. 77ECh. 7.2 - Prob. 78ECh. 7.2 - Prob. 79ECh. 7.2 - Prob. 80ECh. 7.2 - Prob. 81ECh. 7.2 - Prob. 82ECh. 7.2 - Prob. 83ECh. 7.2 - Prob. 84ECh. 7.2 - Prob. 85ECh. 7.2 - In Exercises 85-88, determine whether each...Ch. 7.2 - Prob. 87ECh. 7.2 - In Exercises 85- determine whether each statement...Ch. 7.2 - What happens to the shape of the graph of...Ch. 7.2 - Prob. 90ECh. 7.2 - Prob. 91ECh. 7.2 - Prob. 92ECh. 7.2 - Prob. 93ECh. 7.2 - Prob. 94ECh. 7.2 - Prob. 95ECh. 7.2 - Prob. 96ECh. 7.2 - Isolate the terms involving y on the left side of...Ch. 7.3 - The set of all points in a plane that are...Ch. 7.3 - The equation of the parabola is of the form a. y2...Ch. 7.3 - Prob. 3CVCCh. 7.3 - Prob. 4CVCCh. 7.3 - Prob. 5CVCCh. 7.3 - Prob. 6CVCCh. 7.3 - Prob. 7CVCCh. 7.3 - Prob. 8CVCCh. 7.3 - Use the graph shown to answer Exercises 6-9. If 4p...Ch. 7.3 - Prob. 10CVCCh. 7.3 - Prob. 1ECh. 7.3 - Prob. 2ECh. 7.3 - Prob. 3ECh. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - In Exercises 5-16, find me focus and directrix of...Ch. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - Prob. 10ECh. 7.3 - Prob. 11ECh. 7.3 - Prob. 12ECh. 7.3 - Prob. 13ECh. 7.3 - Prob. 14ECh. 7.3 - Prob. 15ECh. 7.3 - Prob. 16ECh. 7.3 - Prob. 17ECh. 7.3 - Prob. 18ECh. 7.3 - Prob. 19ECh. 7.3 - In Exercises 17-30, find the standard form of the...Ch. 7.3 - In Exercises 17-30. find the standard form of the...Ch. 7.3 - In Exercises 17-30, find the standard form of the...Ch. 7.3 - In Exercises 17-30, find the standard form of the...Ch. 7.3 - Prob. 24ECh. 7.3 - Prob. 25ECh. 7.3 - Prob. 26ECh. 7.3 - Prob. 27ECh. 7.3 - Prob. 28ECh. 7.3 - Prob. 29ECh. 7.3 - Prob. 30ECh. 7.3 - Prob. 31ECh. 7.3 - Prob. 32ECh. 7.3 - Prob. 33ECh. 7.3 - Prob. 34ECh. 7.3 - In Exercises 42, find the vertex, focus, and...Ch. 7.3 - Prob. 36ECh. 7.3 - Prob. 37ECh. 7.3 - Prob. 38ECh. 7.3 - Prob. 39ECh. 7.3 - Prob. 40ECh. 7.3 - Prob. 41ECh. 7.3 - Prob. 42ECh. 7.3 - Prob. 43ECh. 7.3 - Prob. 44ECh. 7.3 - Prob. 45ECh. 7.3 - Prob. 46ECh. 7.3 - Prob. 47ECh. 7.3 - Prob. 48ECh. 7.3 - Prob. 49ECh. 7.3 - Prob. 50ECh. 7.3 - Prob. 51ECh. 7.3 - Prob. 52ECh. 7.3 - In Exercises 49-56, identify each equation without...Ch. 7.3 - Prob. 54ECh. 7.3 - Prob. 55ECh. 7.3 - Prob. 56ECh. 7.3 - Prob. 57ECh. 7.3 - Prob. 58ECh. 7.3 - In Exercises 57-62, use the vertex and the...Ch. 7.3 - Prob. 60ECh. 7.3 - Prob. 61ECh. 7.3 - In Exercises 57- use the vertex and the direction...Ch. 7.3 - Prob. 63ECh. 7.3 - Prob. 64ECh. 7.3 - Prob. 65ECh. 7.3 - Prob. 66ECh. 7.3 - Prob. 67ECh. 7.3 - Prob. 68ECh. 7.3 - Prob. 69ECh. 7.3 - The reflector of a flashlight is in the shape of a...Ch. 7.3 - Prob. 71ECh. 7.3 - Prob. 72ECh. 7.3 - Prob. 73ECh. 7.3 - Prob. 74ECh. 7.3 - Prob. 75ECh. 7.3 - Prob. 76ECh. 7.3 - Prob. 77ECh. 7.3 - Explain how to use y2 = 8x to find the parabolas...Ch. 7.3 - Prob. 79ECh. 7.3 - Describe one similarity and one difference between...Ch. 7.3 - Prob. 81ECh. 7.3 - Prob. 82ECh. 7.3 - Prob. 83ECh. 7.3 - Prob. 84ECh. 7.3 - Prob. 85ECh. 7.3 - Prob. 86ECh. 7.3 - Prob. 87ECh. 7.3 - Prob. 88ECh. 7.3 - Prob. 89ECh. 7.3 - Prob. 90ECh. 7.3 - Prob. 91ECh. 7.3 - Prob. 92ECh. 7.3 - Prob. 93ECh. 7.3 - In Exercises 97, determine whether each statement...Ch. 7.3 - In Exercises 94-97, determine whether each...Ch. 7.3 - Prob. 96ECh. 7.3 - Prob. 97ECh. 7.3 - Prob. 98ECh. 7.3 - Prob. 99ECh. 7.3 - Consult the research department of your library or...Ch. 7.3 - Prob. 101ECh. 7.3 - Prob. 102ECh. 7.3 - Prob. 103ECh. 7.3 - Prob. 104ECh. 7.3 - Exercises 104-106 will help you prepare for the...Ch. 7.3 - Exercises 104-will help you prepare for the...Ch. 7 - In Exercises 1-5, graph each ellipse. Give the...Ch. 7 - Prob. 2MCCPCh. 7 - Prob. 3MCCPCh. 7 - Prob. 4MCCPCh. 7 - Prob. 5MCCPCh. 7 - Prob. 6MCCPCh. 7 - Prob. 7MCCPCh. 7 - Prob. 8MCCPCh. 7 - In Exercises 6-11. graph each hyperbola. Give the...Ch. 7 - Prob. 10MCCPCh. 7 - Prob. 11MCCPCh. 7 - Prob. 12MCCPCh. 7 - Prob. 13MCCPCh. 7 - Prob. 14MCCPCh. 7 - In Exercises 12-18, graph each equation, x2 + 4y2...Ch. 7 - Prob. 16MCCPCh. 7 - In Exercises 12-18, graph each equation. x2 + 4(y...Ch. 7 - Prob. 18MCCPCh. 7 - Prob. 19MCCPCh. 7 - Prob. 20MCCPCh. 7 - Prob. 21MCCPCh. 7 - Prob. 22MCCPCh. 7 - A semielliptical archway over a one-way road has a...Ch. 7 - Prob. 24MCCPCh. 7 - Prob. 25MCCPCh. 7 - Prob. 1RECh. 7 - Prob. 2RECh. 7 - In Exercises 1-8, graph each ellipse and locate...Ch. 7 - In Exercises 1-8, graph each ellipse and locate...Ch. 7 - Prob. 5RECh. 7 - Prob. 6RECh. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - An elliptical pool table has a ball placed at each...Ch. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - In Exercises 15-22, graph each hyperbola. Locate...Ch. 7 - Prob. 20RECh. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - In Exercises 24, find the standard form of the...Ch. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - Prob. 32RECh. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - In Exercises 34- find the standard form of the...Ch. 7 - Prob. 36RECh. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Prob. 39RECh. 7 - Prob. 40RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - Prob. 1TCh. 7 - Prob. 2TCh. 7 - Prob. 3TCh. 7 - Prob. 4TCh. 7 - Prob. 5TCh. 7 - Prob. 6TCh. 7 - Prob. 7TCh. 7 - Prob. 8TCh. 7 - Identify the conic represented by x2 + 9y2 + 10x -...Ch. 7 - Prob. 10TCh. 7 - Prob. 11TCh. 7 - Prob. 1CRECh. 7 - Prob. 2CRECh. 7 - Prob. 3CRECh. 7 - Prob. 4CRECh. 7 - Prob. 5CRECh. 7 - Prob. 6CRECh. 7 - Prob. 7CRECh. 7 - Prob. 8CRECh. 7 - Prob. 9CRECh. 7 - Prob. 10CRECh. 7 - Prob. 11CRECh. 7 - Prob. 12CRECh. 7 - Prob. 13CRECh. 7 - Prob. 14CRECh. 7 - Prob. 15CRECh. 7 - Prob. 16CRECh. 7 - Expand using logarithmic properties. Where...Ch. 7 - Prob. 18CRECh. 7 - Prob. 19CRECh. 7 - The local cable television company offers two...Ch. 7 - Prob. 21CRE
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- 4. [9 points] Assume that B, C, E are all 3 x 3 matrices such that BC == -64 -1 0 3 4 4 4 -2 2 CB=-1-2 4 BE -2 1 3 EC = 1 3 2 -7, 1 6 -6 2-5 -7 -2 Explicitly compute the following by hand. (I.e., write out the entries of the 3 × 3 matrix.) (a) [3 points] B(E+C) (b) [3 points] (E+B)C (c) [3 points] ETBTarrow_forward6. Consider the matrices G = 0 (3) -3\ -3 2 and H = -1 2 0 5 0 5 5 noting that H(:, 3) = 2H(:,1) + H(:, 2). Is G invertible? Explain your answer. Is H invertible? Explain your answer. Use co-factor expansion to find the determinant of H. (Hint: expand the 2nd or 3rd row)arrow_forwardFor the matrix A = = ( 6 }) . explicitly compute by hand (with work shown) the following. I2A, where I2 is the 2 × 2 identity matrix. A-1 solving the following linear systems by using A-¹: c+y= 1 y = 1 (d) (e) (f) A² find the diagonal entries of Aarrow_forward
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