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WebAssign with Corequisite Support for Gustafson/Hughes' College Algebra, 12th Edition [Instant Access], Single-Term
12th Edition
ISBN: 9780357422533
Author: Gustafson; R. David; Hughes; Jeff
Publisher: Cengage Learning US
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Chapter 7.CM, Problem 47CM
To determine
To Find:
The approximate value of
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[25 points] Given the vector let v = ER² and the collection of vectors
ε =
E-{)·()}-{☹) (9)}
= {(A)·(9)}·
B: =
and C =
· {(6)·(})}·
answer the following question.
(a)
(b)
(c)
(d)
(e)
verify
Verify is a basis for R² and find the coordinate [] of under ε.
Verify B is a basis for R2 and find the coordinate []B of ʊ
Verify C is a basis for R2 and find the coordinate []c of
under ε.
under ε.
Find the change-of-basis matrix [I]+B from basis B to basis ε, and
EE+BUB
Find the change-of-basis matrix [I]B+ε from basis Ɛ to basis B, and
verify [U]B= [] B+EVE
Explain the following terms |
(a) linear span
(b) dimension of vector space
(c) linearly independent
(d) linearly dependent
(e) rank of matrix A
3.
Let
u = 3/5
√ =
and =
-4/5
-()
Define V span{ū, }.
(a)
(b)
(c)
Show that {u, } is orthonormal and forms a basis for V.
Explicitly compute Projy w.
Explicitly give a non-zero vector in V+.
Chapter 7 Solutions
WebAssign with Corequisite Support for Gustafson/Hughes' College Algebra, 12th Edition [Instant Access], Single-Term
Ch. 7.1 - Prob. 1SCCh. 7.1 - Prob. 2SCCh. 7.1 - Prob. 3SCCh. 7.1 - Prob. 4SCCh. 7.1 - Prob. 5SCCh. 7.1 - Prob. 6SCCh. 7.1 - Find the vertex and yintercepts of the parabola...Ch. 7.1 - Prob. 8SCCh. 7.1 - Prob. 9SCCh. 7.1 - Prob. 1E
Ch. 7.1 - Prob. 2ECh. 7.1 - Prob. 3ECh. 7.1 - Prob. 4ECh. 7.1 - Prob. 5ECh. 7.1 - Determine whether the graph of the parabola opens...Ch. 7.1 - Prob. 7ECh. 7.1 - Determine whether the graph of the parabola opens...Ch. 7.1 - Fill in the blanks. A parabola is the set of all...Ch. 7.1 - Prob. 10ECh. 7.1 - Prob. 11ECh. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 7.1 - Prob. 14ECh. 7.1 - Prob. 15ECh. 7.1 - Prob. 16ECh. 7.1 - Prob. 17ECh. 7.1 - Prob. 18ECh. 7.1 - Prob. 19ECh. 7.1 - Prob. 20ECh. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Prob. 27ECh. 7.1 - Prob. 28ECh. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 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 - Ripples in a pond When a stone is thrown into the...Ch. 7.1 - Prob. 69ECh. 7.1 - Prob. 70ECh. 7.1 - Meshing gear For design purpose, the large gear is...Ch. 7.1 - Prob. 72ECh. 7.1 - Prob. 73ECh. 7.1 - Searchlight reflectors A parabolic mirror reflect...Ch. 7.1 - Writing equation of the parabolas Derive the...Ch. 7.1 - Projectiles The cannonball in the illustration...Ch. 7.1 - Satellite antennas The cross section of the...Ch. 7.1 - Design of a satellite antenna The cross section of...Ch. 7.1 - Prob. 79ECh. 7.1 - Operating a resort A resort owner plans to build...Ch. 7.1 - Design of a parabolic reflector Find the outer...Ch. 7.1 - Design of a suspension bridge The cable between...Ch. 7.1 - Gateway Arch The gateway Arch in St.Louis has a...Ch. 7.1 - Building tunnels A construction firm plans to...Ch. 7.1 - Prob. 85ECh. 7.1 - Prob. 86ECh. 7.1 - Prob. 87ECh. 7.1 - Prob. 88ECh. 7.1 - Prob. 89ECh. 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 - Prob. 96ECh. 7.1 - Prob. 97ECh. 7.1 - In Exercises 95-98, match the equation of the...Ch. 7.1 - Prob. 99ECh. 7.1 - Prob. 100ECh. 7.1 - Prob. 101ECh. 7.1 - Prob. 102ECh. 7.2 - Self Check Find an equation in the standard form...Ch. 7.2 - Prob. 2SCCh. 7.2 - Prob. 3SCCh. 7.2 - Prob. 4SCCh. 7.2 - Prob. 5SCCh. 7.2 - Prob. 6SCCh. 7.2 - Prob. 7SCCh. 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 - Prob. 9ECh. 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 - Graph each ellipse. x225+y29=1Ch. 7.2 - Graph each ellipse. x236+y225=1Ch. 7.2 - Graph each ellipse. x225+y249=1Ch. 7.2 - Graph each ellipse. 4x2+y2=4Ch. 7.2 - Graph each ellipse. x216+(y+2)236=1Ch. 7.2 - Graph each ellipse. (x1)2+4y225=4Ch. 7.2 - Graph each ellipse. (x4)249+(y2)29=1Ch. 7.2 - Graph each ellipse. (x1)225+y24=1Ch. 7.2 - Write each ellipse in standard form. 4x2+y22y=15Ch. 7.2 - Prob. 42ECh. 7.2 - Write each ellipse in standard form....Ch. 7.2 - Prob. 44ECh. 7.2 - Graph each ellipse. x2+4y24x+8y+4=0Ch. 7.2 - Prob. 46ECh. 7.2 - Prob. 47ECh. 7.2 - Prob. 48ECh. 7.2 - Prob. 49ECh. 7.2 - Prob. 50ECh. 7.2 - Pool tables Find an equation in standard form of...Ch. 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 - Prob. 62ECh. 7.2 - Discovery and Writing If F is a focus of the...Ch. 7.2 - Finding the focal width In the ellipse shown,...Ch. 7.2 - Prove that segment FV in Example 7 is the shortest...Ch. 7.2 - Prob. 66ECh. 7.2 - The distance between point P(x,y) and the point...Ch. 7.2 - Prob. 68ECh. 7.2 - Prob. 69ECh. 7.2 - Prob. 70ECh. 7.2 - Prob. 71ECh. 7.2 - Prob. 72ECh. 7.2 - Prob. 73ECh. 7.2 - Prob. 74ECh. 7.2 - Prob. 75ECh. 7.2 - Prob. 76ECh. 7.2 - Prob. 77ECh. 7.2 - Prob. 78ECh. 7.3 - Write an equation in standard form of the...Ch. 7.3 - Prob. 2SCCh. 7.3 - Prob. 3SCCh. 7.3 - Prob. 4SCCh. 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 - Prob. 7ECh. 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 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Prob. 22ECh. 7.3 - Prob. 23ECh. 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 - Write an equation in standard form of each...Ch. 7.3 - Prob. 34ECh. 7.3 - Graph each hyperbola. x29y24=1Ch. 7.3 - Prob. 36ECh. 7.3 - Graph each hyperbola. 4x23y2=36Ch. 7.3 - Graph each hyperbola. 3x24y2=36Ch. 7.3 - Graph each hyperbola. y2x2=1Ch. 7.3 - Graph each hyperbola. x2y24=1Ch. 7.3 - Graph each hyperbola. (x+2)92y24=1Ch. 7.3 - Graph each hyperbola. y29(x2)236=1Ch. 7.3 - Graph each hyperbola. 4(y2)29(x+1)2=36Ch. 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 - Prob. 53ECh. 7.3 - Prob. 54ECh. 7.3 - Prob. 55ECh. 7.3 - Prob. 56ECh. 7.3 - Prob. 57ECh. 7.3 - Astronomy Some comets have a hyperbolic orbit,...Ch. 7.3 - Prob. 59ECh. 7.3 - Prob. 60ECh. 7.3 - Navigation The LORAN LOng RAnge Navigation system...Ch. 7.3 - Prob. 62ECh. 7.3 - Prob. 63ECh. 7.3 - Sonic boom The position of a sonic boom caused by...Ch. 7.3 - Discovery and Writing Describe a hyperbola.Ch. 7.3 - Prob. 66ECh. 7.3 - Prob. 67ECh. 7.3 - Prob. 68ECh. 7.3 - Prob. 69ECh. 7.3 - Prob. 70ECh. 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 - Prob. 78ECh. 7.3 - Prob. 79ECh. 7.3 - Prob. 80ECh. 7.4 - Prob. 1SCCh. 7.4 - Prob. 2SCCh. 7.4 - Prob. 3SCCh. 7.4 - Prob. 4SCCh. 7.4 - Prob. 5SCCh. 7.4 - Prob. 1ECh. 7.4 - Prob. 2ECh. 7.4 - Prob. 3ECh. 7.4 - Prob. 4ECh. 7.4 - Prob. 5ECh. 7.4 - Prob. 6ECh. 7.4 - Prob. 7ECh. 7.4 - Prob. 8ECh. 7.4 - Prob. 9ECh. 7.4 - Prob. 10ECh. 7.4 - Prob. 11ECh. 7.4 - Prob. 12ECh. 7.4 - Prob. 13ECh. 7.4 - Prob. 14ECh. 7.4 - Prob. 15ECh. 7.4 - Prob. 16ECh. 7.4 - Prob. 17ECh. 7.4 - Prob. 18ECh. 7.4 - Prob. 19ECh. 7.4 - Prob. 20ECh. 7.4 - Prob. 21ECh. 7.4 - Prob. 22ECh. 7.4 - Prob. 23ECh. 7.4 - Prob. 24ECh. 7.4 - Prob. 25ECh. 7.4 - Prob. 26ECh. 7.4 - Prob. 27ECh. 7.4 - Prob. 28ECh. 7.4 - Prob. 29ECh. 7.4 - Prob. 30ECh. 7.4 - Prob. 31ECh. 7.4 - Prob. 32ECh. 7.4 - Prob. 33ECh. 7.4 - Prob. 34ECh. 7.4 - Prob. 35ECh. 7.4 - Prob. 36ECh. 7.4 - Prob. 37ECh. 7.4 - Prob. 38ECh. 7.4 - Prob. 39ECh. 7.4 - Prob. 40ECh. 7.4 - Prob. 41ECh. 7.4 - Prob. 42ECh. 7.4 - Prob. 43ECh. 7.4 - Prob. 44ECh. 7.4 - Prob. 45ECh. 7.4 - Prob. 46ECh. 7.4 - Prob. 47ECh. 7.4 - Prob. 48ECh. 7.4 - Prob. 49ECh. 7.4 - Prob. 50ECh. 7.4 - Prob. 51ECh. 7.4 - Prob. 52ECh. 7.4 - Prob. 53ECh. 7.4 - Prob. 54ECh. 7.4 - Prob. 55ECh. 7.4 - Prob. 56ECh. 7.4 - Prob. 57ECh. 7.4 - Prob. 58ECh. 7.4 - Prob. 59ECh. 7.4 - Prob. 60ECh. 7.4 - Prob. 61ECh. 7.4 - Prob. 62ECh. 7.4 - Prob. 63ECh. 7.4 - Determine if the statement is true or false. If...Ch. 7.4 - Prob. 65ECh. 7.4 - Prob. 66ECh. 7.CR - Prob. 1ECh. 7.CR - Prob. 2ECh. 7.CR - Prob. 3ECh. 7.CR - Prob. 4ECh. 7.CR - Prob. 5ECh. 7.CR - Prob. 6ECh. 7.CR - Prob. 7ECh. 7.CR - Prob. 8ECh. 7.CR - Prob. 9ECh. 7.CR - Prob. 10ECh. 7.CR - Prob. 11ECh. 7.CR - Prob. 12ECh. 7.CR - Prob. 13ECh. 7.CR - Prob. 14ECh. 7.CR - Prob. 15ECh. 7.CR - Prob. 16ECh. 7.CR - Prob. 17ECh. 7.CR - Prob. 18ECh. 7.CR - Prob. 19ECh. 7.CR - Prob. 20ECh. 7.CR - Prob. 21ECh. 7.CR - Prob. 22ECh. 7.CR - Prob. 23ECh. 7.CR - Prob. 24ECh. 7.CR - Prob. 25ECh. 7.CR - Prob. 26ECh. 7.CR - Prob. 27ECh. 7.CR - Prob. 28ECh. 7.CR - Prob. 29ECh. 7.CR - Prob. 30ECh. 7.CT - Prob. 1CTCh. 7.CT - Prob. 2CTCh. 7.CT - Prob. 3CTCh. 7.CT - Prob. 4CTCh. 7.CT - Prob. 5CTCh. 7.CT - Prob. 6CTCh. 7.CT - Prob. 7CTCh. 7.CT - Prob. 8CTCh. 7.CT - Prob. 9CTCh. 7.CT - Prob. 10CTCh. 7.CT - Prob. 11CTCh. 7.CT - Prob. 12CTCh. 7.CT - Prob. 13CTCh. 7.CT - Prob. 14CTCh. 7.CT - Prob. 15CTCh. 7.CT - Prob. 16CTCh. 7.CT - Solve each system using substitution and...Ch. 7.CT - Prob. 18CTCh. 7.CT - Prob. 19CTCh. 7.CT - Prob. 20CTCh. 7.CM - Prob. 1CMCh. 7.CM - Prob. 2CMCh. 7.CM - Prob. 3CMCh. 7.CM - Prob. 4CMCh. 7.CM - Simplify each expression Assume that all variables...Ch. 7.CM - Prob. 6CMCh. 7.CM - Prob. 7CMCh. 7.CM - Prob. 8CMCh. 7.CM - Prob. 9CMCh. 7.CM - Prob. 10CMCh. 7.CM - Prob. 11CMCh. 7.CM - Prob. 12CMCh. 7.CM - Prob. 13CMCh. 7.CM - Prob. 14CMCh. 7.CM - Prob. 15CMCh. 7.CM - Prob. 16CMCh. 7.CM - Prob. 17CMCh. 7.CM - Prob. 18CMCh. 7.CM - Prob. 19CMCh. 7.CM - Prob. 20CMCh. 7.CM - Prob. 21CMCh. 7.CM - Prob. 22CMCh. 7.CM - Prob. 23CMCh. 7.CM - Prob. 24CMCh. 7.CM - Prob. 25CMCh. 7.CM - Prob. 26CMCh. 7.CM - Prob. 27CMCh. 7.CM - Prob. 28CMCh. 7.CM - Prob. 29CMCh. 7.CM - Prob. 30CMCh. 7.CM - Prob. 31CMCh. 7.CM - Prob. 32CMCh. 7.CM - Prob. 33CMCh. 7.CM - Prob. 34CMCh. 7.CM - Prob. 35CMCh. 7.CM - Prob. 36CMCh. 7.CM - Prob. 37CMCh. 7.CM - Prob. 38CMCh. 7.CM - Prob. 39CMCh. 7.CM - Prob. 40CMCh. 7.CM - Prob. 41CMCh. 7.CM - Prob. 42CMCh. 7.CM - Prob. 43CMCh. 7.CM - Prob. 44CMCh. 7.CM - Prob. 45CMCh. 7.CM - Prob. 46CMCh. 7.CM - Prob. 47CMCh. 7.CM - Prob. 48CMCh. 7.CM - Prob. 49CMCh. 7.CM - Prob. 50CMCh. 7.CM - Prob. 51CMCh. 7.CM - Prob. 52CMCh. 7.CM - Prob. 53CMCh. 7.CM - Prob. 54CMCh. 7.CM - Prob. 55CMCh. 7.CM - Prob. 56CMCh. 7.CM - Prob. 57CMCh. 7.CM - Prob. 58CMCh. 7.CM - Prob. 59CMCh. 7.CM - Prob. 60CMCh. 7.CM - Prob. 61CMCh. 7.CM - Prob. 62CMCh. 7.CM - Prob. 63CMCh. 7.CM - Prob. 64CM
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