Intermediate Algebra (12th Edition)
12th Edition
ISBN: 9780321924711
Author: Marvin L. Bittinger
Publisher: PEARSON
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Textbook Question
Chapter 9, Problem 87CR
Population Growth of Nevada. In 2012, the population of Nevada was 2,758,931. It had grown from a population of 1,998,257 in 2000. Assume that the population growth increases according to an exponential growth function.
Source: U.S. Census Bureau
Let
Use the function found in part (a) to predict the population of Nevada in 2015.
If growth continues at this rate, when will the population reach 3.5 million?
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Chapter 9 Solutions
Intermediate Algebra (12th Edition)
Ch. 9.1 - Prob. 1SRCh. 9.1 - Prob. 2SRCh. 9.1 - Prob. 1DECh. 9.1 - Prob. 2DECh. 9.1 - Prob. 1CCECh. 9.1 - Prob. 2CCECh. 9.1 - Prob. 3CCECh. 9.1 - Prob. 3DECh. 9.1 - Prob. 4DECh. 9.1 - Prob. 5DE
Ch. 9.1 - Prob. 6DECh. 9.1 - Prob. 7DECh. 9.1 - Prob. 8DECh. 9.1 - Prob. 9DECh. 9.1 - Prob. 10DECh. 9.1 - Prob. 11DECh. 9.1 - Prob. 1CCE1Ch. 9.1 - Prob. 2CCE1Ch. 9.1 - Prob. 3CCE1Ch. 9.1 - Prob. 4CCE1Ch. 9.1 - Prob. 5CCE1Ch. 9.1 - Prob. 1RCCh. 9.1 - Prob. 2RCCh. 9.1 - Prob. 3RCCh. 9.1 - Prob. 4RCCh. 9.1 - Prob. 5RCCh. 9.1 - Prob. 6RCCh. 9.1 - Prob. 1ESCh. 9.1 - Prob. 2ESCh. 9.1 - Prob. 3ESCh. 9.1 - Prob. 4ESCh. 9.1 - Prob. 5ESCh. 9.1 - Prob. 6ESCh. 9.1 - Prob. 7ESCh. 9.1 - Prob. 8ESCh. 9.1 - Prob. 9ESCh. 9.1 - Prob. 10ESCh. 9.1 - Prob. 11ESCh. 9.1 - Prob. 12ESCh. 9.1 - Prob. 13ESCh. 9.1 - Prob. 14ESCh. 9.1 - Prob. 15ESCh. 9.1 - Prob. 16ESCh. 9.1 - Prob. 17ESCh. 9.1 - Prob. 18ESCh. 9.1 - Prob. 19ESCh. 9.1 - Prob. 20ESCh. 9.1 - Prob. 21ESCh. 9.1 - Prob. 22ESCh. 9.1 - Prob. 23ESCh. 9.1 - Prob. 24ESCh. 9.1 - Prob. 25ESCh. 9.1 - Prob. 26ESCh. 9.1 - Prob. 27ESCh. 9.1 - Prob. 28ESCh. 9.1 - Prob. 29ESCh. 9.1 - Prob. 30ESCh. 9.1 - Prob. 31ESCh. 9.1 - Prob. 32ESCh. 9.1 - Prob. 33ESCh. 9.1 - Prob. 34ESCh. 9.1 - Prob. 35ESCh. 9.1 - Prob. 36ESCh. 9.1 - Prob. 37ESCh. 9.1 - Prob. 38ESCh. 9.1 - Prob. 39ESCh. 9.1 - Prob. 40ESCh. 9.1 - Prob. 41ESCh. 9.1 - Prob. 42ESCh. 9.1 - Prob. 43ESCh. 9.1 - Prob. 44ESCh. 9.1 - Prob. 45ESCh. 9.1 - Prob. 46ESCh. 9.1 - Prob. 47ESCh. 9.1 - Prob. 48ESCh. 9.1 - Prob. 49ESCh. 9.1 - Prob. 50ESCh. 9.1 - Prob. 51ESCh. 9.1 - Prob. 52ESCh. 9.1 - Prob. 53ESCh. 9.1 - Prob. 54ESCh. 9.1 - Prob. 55ESCh. 9.1 - Prob. 56ESCh. 9.1 - Prob. 57ESCh. 9.1 - Prob. 58ESCh. 9.1 - Prob. 59ESCh. 9.1 - Prob. 60ESCh. 9.1 - Prob. 61ESCh. 9.1 - Prob. 62ESCh. 9.1 - Prob. 63ESCh. 9.1 - Prob. 64ESCh. 9.1 - Prob. 65ESCh. 9.1 - Prob. 66ESCh. 9.1 - Prob. 67ESCh. 9.1 - Prob. 68ESCh. 9.1 - Prob. 69ESCh. 9.1 - Prob. 70ESCh. 9.1 - Prob. 71ESCh. 9.1 - Prob. 72ESCh. 9.2 - Prob. 1SRCh. 9.2 - Prob. 2SRCh. 9.2 - Prob. 1DECh. 9.2 - Prob. 2DECh. 9.2 - Prob. 3DECh. 9.2 - Prob. 1CCECh. 9.2 - Prob. 2CCECh. 9.2 - Prob. 3CCECh. 9.2 - Prob. 4DECh. 9.2 - Prob. 1RCCh. 9.2 - Prob. 2RCCh. 9.2 - Prob. 3RCCh. 9.2 - Prob. 4RCCh. 9.2 - Prob. 1ESCh. 9.2 - Prob. 2ESCh. 9.2 - Prob. 3ESCh. 9.2 - Prob. 4ESCh. 9.2 - Prob. 5ESCh. 9.2 - Prob. 6ESCh. 9.2 - Prob. 7ESCh. 9.2 - Prob. 8ESCh. 9.2 - Prob. 9ESCh. 9.2 - Prob. 10ESCh. 9.2 - Prob. 11ESCh. 9.2 - Prob. 12ESCh. 9.2 - Prob. 13ESCh. 9.2 - Prob. 14ESCh. 9.2 - Prob. 15ESCh. 9.2 - Prob. 16ESCh. 9.2 - Prob. 17ESCh. 9.2 - Prob. 18ESCh. 9.2 - Prob. 19ESCh. 9.2 - Prob. 20ESCh. 9.2 - Prob. 21ESCh. 9.2 - Prob. 22ESCh. 9.2 - Prob. 23ESCh. 9.2 - Prob. 24ESCh. 9.2 - Prob. 25ESCh. 9.2 - Prob. 26ESCh. 9.2 - Prob. 27ESCh. 9.2 - Prob. 28ESCh. 9.2 - Prob. 29ESCh. 9.2 - Prob. 30ESCh. 9.2 - Convert the exponential equation. [8.3b]...Ch. 9.2 - Prob. 32ESCh. 9.2 - Prob. 33ESCh. 9.2 - Prob. 34ESCh. 9.2 - Prob. 35ESCh. 9.2 - Prob. 36ESCh. 9.2 - Prob. 1MCRCh. 9.2 - Prob. 2MCRCh. 9.2 - Prob. 3MCRCh. 9.2 - Prob. 4MCRCh. 9.2 - Prob. 5MCRCh. 9.2 - Fill in each blank with the number or the...Ch. 9.2 - Prob. 7MCRCh. 9.2 - Prob. 8MCRCh. 9.2 - Prob. 9MCRCh. 9.2 - Prob. 10MCRCh. 9.2 - Prob. 11MCRCh. 9.2 - Prob. 12MCRCh. 9.2 - Prob. 13MCRCh. 9.2 - Prob. 14MCRCh. 9.2 - Prob. 15MCRCh. 9.2 - Prob. 16MCRCh. 9.2 - Prob. 17MCRCh. 9.2 - Prob. 18MCRCh. 9.2 - Prob. 19MCRCh. 9.2 - Prob. 20MCRCh. 9.2 - Prob. 21MCRCh. 9.2 - Prob. 22MCRCh. 9.2 - Prob. 23MCRCh. 9.2 - Prob. 24MCRCh. 9.2 - Prob. 25MCRCh. 9.2 - Prob. 26MCRCh. 9.2 - Prob. 27MCRCh. 9.2 - Prob. 28MCRCh. 9.2 - Prob. 29UTDWCh. 9.2 - Prob. 30UTDWCh. 9.2 - Prob. 31UTDWCh. 9.2 - Prob. 32UTDWCh. 9.3 - Prob. 1SRCh. 9.3 - Prob. 2SRCh. 9.3 - Prob. 1DECh. 9.3 - Prob. 2DECh. 9.3 - Prob. 3DECh. 9.3 - Prob. 1CCECh. 9.3 - Prob. 2CCECh. 9.3 - Prob. 3CCECh. 9.3 - Graph each hyperbola. 45x29y2=405Ch. 9.3 - Prob. 1VFSCh. 9.3 - Prob. 2VFSCh. 9.3 - Prob. 3VFSCh. 9.3 - Prob. 4VFSCh. 9.3 - Prob. 5VFSCh. 9.3 - Prob. 6VFSCh. 9.3 - Prob. 7VFSCh. 9.3 - Prob. 8VFSCh. 9.3 - Prob. 9VFSCh. 9.3 - Prob. 10VFSCh. 9.3 - Prob. 1RCCh. 9.3 - Prob. 2RCCh. 9.3 - Prob. 3RCCh. 9.3 - Prob. 4RCCh. 9.3 - Prob. 5RCCh. 9.3 - Prob. 6RCCh. 9.3 - Prob. 1ESCh. 9.3 - Prob. 2ESCh. 9.3 - Prob. 3ESCh. 9.3 - Prob. 4ESCh. 9.3 - Prob. 5ESCh. 9.3 - Prob. 6ESCh. 9.3 - Prob. 7ESCh. 9.3 - Prob. 8ESCh. 9.3 - Prob. 9ESCh. 9.3 - Prob. 10ESCh. 9.3 - Prob. 11ESCh. 9.3 - Prob. 12ESCh. 9.3 - Prob. 13ESCh. 9.3 - Prob. 14ESCh. 9.3 - Prob. 15ESCh. 9.3 - Prob. 16ESCh. 9.3 - Prob. 17ESCh. 9.3 - Prob. 18ESCh. 9.3 - b Graph each hyperbola. xy=12Ch. 9.3 - Prob. 20ESCh. 9.3 - Solve. 3(x1)4(x2)5+x [1.4c]Ch. 9.3 - Prob. 22ESCh. 9.3 - Prob. 23ESCh. 9.3 - Prob. 24ESCh. 9.3 - Prob. 25ESCh. 9.3 - Prob. 26ESCh. 9.3 - Prob. 27ESCh. 9.3 - Prob. 28ESCh. 9.3 - Prob. 29ESCh. 9.3 - Prob. 30ESCh. 9.3 - Prob. 31ESCh. 9.3 - Prob. 32ESCh. 9.3 - Prob. 33ESCh. 9.3 - Prob. 34ESCh. 9.3 - Prob. 35ESCh. 9.3 - Prob. 36ESCh. 9.3 - Classify the graph of each of the following...Ch. 9.3 - Classify the graph of each of the following...Ch. 9.3 - Classify the graph of each of the following...Ch. 9.3 - Classify the graph of each of the following...Ch. 9.3 - Classify the graph of each of the following...Ch. 9.3 - Classify the graph of each of the following...Ch. 9.4 - Solve systems of equations in two variables by the...Ch. 9.4 - Solve systems of equations in two variables by the...Ch. 9.4 - Prob. 1CCECh. 9.4 - Prob. 2CCECh. 9.4 - Solve. Sketch the graphs to confirm the...Ch. 9.4 - Solve. Sketch the graphs to confirm the solutions....Ch. 9.4 - Solve: y+3x=1,x22xy=5.Ch. 9.4 - Solve: 9x24y2=36,5x+2y=0. Solve 5x+2y=0forx:x=25y...Ch. 9.4 - Solve: 2y23x2=6,5y2+2x2=53. To eliminate the x2...Ch. 9.4 - Solve: x2+xy+y2=19,xy=6.Ch. 9.4 - 7. The perimeter of a rectangular mural is 34 m,...Ch. 9.4 - HDTV Dimensions. The ratio of the width to the...Ch. 9.4 - Determine whether each statement is true or false....Ch. 9.4 - Determine whether each statement is true or false....Ch. 9.4 - Determine whether each statement is true or false....Ch. 9.4 - Determine whether each statement is true or false....Ch. 9.4 - a Solve.
1.
Ch. 9.4 - a Solve.
2.
Ch. 9.4 - a Solve.
3.
Ch. 9.4 - a Solve. 4x2+9y2=36,3y+2x=6Ch. 9.4 - a Solve. y2=x+3,2y=x+4Ch. 9.4 - a Solve. y=x2,3x=y+2Ch. 9.4 - a Solve. x2xy+3y2=27,xy=2Ch. 9.4 - a Solve.
8.
Ch. 9.4 - a Solve. x2xy=3y2=5,xy=2Ch. 9.4 - a Solve.
10.
Ch. 9.4 - a Solve. a+b=6,ab=7Ch. 9.4 - a Solve. 2y2+xy=5,4y+x=7Ch. 9.4 - a Solve. 2a+b=1,b=4a2Ch. 9.4 - a Solve. 4x2+9y2=36,x+3y=3Ch. 9.4 - a Solve. x2+y2=5,xy=8Ch. 9.4 - a Solve.
16.
Ch. 9.4 - a Solve. x2+y2=25,y2=x+5Ch. 9.4 - a Solve. y=x2,x=y2Ch. 9.4 - a Solve. x2+y2=9,x2y2=9Ch. 9.4 - a Solve. y24x2=4,4x3+y2=4Ch. 9.4 - a Solve. x2+y2=20,xy=8Ch. 9.4 - a Solve. x2+y2=5,xy=2Ch. 9.4 - a Solve.
23.
Ch. 9.4 - a Solve. x2+y2+6y+5=0,x2+y22x8=0Ch. 9.4 - a Solve.
25.
Ch. 9.4 - a Solve.
26.
Ch. 9.4 - a Solve.
27.
Ch. 9.4 - Prob. 28ESCh. 9.4 - a Solve.
29.
Ch. 9.4 - a Solve. a2+b2=14,ab=35Ch. 9.4 - a Solve. x2+y2=25,9x2+4y2=36Ch. 9.4 - a Solve. x2+y2=1,9x216y2=144Ch. 9.4 - b Solve.
33. Art. Elliot is designing a...Ch. 9.4 - b Solve.
34. Dimensions of a Van. The cargo area...Ch. 9.4 - b Solve. A rectangle has an area of 14 in2 and a...Ch. 9.4 - b Solve.
36. A rectangle has an area of 40 yd2 and...Ch. 9.4 - b Solve. The diagonal of a rectangle is 1 ft...Ch. 9.4 - b Solve. It will take 210 yd of fencing to enclose...Ch. 9.4 - b Solve. The area of a rectangle is 2m2, and the...Ch. 9.4 - b Solve. The area of a rectangle is 3m2, and the...Ch. 9.4 - Garden Design. A garden contains two square peanut...Ch. 9.4 - HDTV Screens. The ratio of the length to the...Ch. 9.4 - 43. Computer Screens. The ratio of the length to...Ch. 9.4 -
44. Investments. At a local bank, an amount of...Ch. 9.4 - Find a formula for the inverse of each function,...Ch. 9.4 - Find a formula for the inverse of each function,...Ch. 9.4 - Find a formula for the inverse of each function,...Ch. 9.4 - Find a formula for the inverse of each function,...Ch. 9.4 - Find a formula for the inverse of each function,...Ch. 9.4 - Find a formula for the inverse of each function,...Ch. 9.4 - 51. Solve:
Ch. 9.4 - 52. Find the equation of an ellipse centered at...Ch. 9.4 - 53. A piece of wire 100cm long is to be cut into...Ch. 9.4 - Prob. 54ESCh. 9.4 - 55. Railing Sales. Fireside Castings finds that...Ch. 9 - Complete each statement with the correct term from...Ch. 9 - Complete each statement with the correct term from...Ch. 9 - Complete each statement with the correct term from...Ch. 9 - Complete each statement with the correct term from...Ch. 9 - Complete each statement with the correct term from...Ch. 9 - Complete each statement with the correct term from...Ch. 9 - Determine whether each statement is true or false....Ch. 9 - Determine whether each statement is true or false....Ch. 9 - Determine whether each statement is true or...Ch. 9 - Determine whether each statement is true or...Ch. 9 - Graph: y=x24x1.Ch. 9 - Find the distance between (2,10)and(1,7). Give an...Ch. 9 - 3. Find the midpoint of the segment with...Ch. 9 - Prob. 4SGPECh. 9 - Prob. 5SGPECh. 9 - Graph: 25x2+4y2=100.Ch. 9 - 7. Graph: .
Ch. 9 - 8. Solve:
Ch. 9 - Find the distance between each pair of points....Ch. 9 - Find the distance between each pair of points....Ch. 9 - Find the distance between each pair of points....Ch. 9 - Find the distance between each pair of points....Ch. 9 - Find the midpoint of the segment with the given...Ch. 9 - Find the midpoint of the segment with the given...Ch. 9 - Find the midpoint of the segment with the given...Ch. 9 - Find the midpoint of the segment with the given...Ch. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Graph. x216+y24=1 [9.2a]Ch. 9 - Graph.
16. [9.3a]
Ch. 9 - Graph. x2+y2=16 [9.1d]Ch. 9 - Graph.
18. [9.1a]
Ch. 9 - Graph. y=2x22x+3 [9.1a]Ch. 9 - Graph. x2=y2+2x4y4=0 [9.1d]Ch. 9 - Graph.
21. [9.2a]
Ch. 9 - Graph.
22. [9.3b]
Ch. 9 - Graph. x+y2=2y+1 [9.1a]Ch. 9 - Graph. x24y24=1 [9.3a]Ch. 9 - Solve. [9.4a] x2y2=33,x+y=11Ch. 9 - Solve. [9.4a]
26.
Ch. 9 - Solve. [9.4a]
27.
Ch. 9 - Solve. [9.4a] x2+y2=25,x2y2=7Ch. 9 - Solve. [9.4a] x2y2=3,y=x23Ch. 9 - Solve. [9.4a]
30.
Ch. 9 - Solve. [9.4a] x2+y2=100,2x23y2=120Ch. 9 - Solve. [9.4a]
32.
Ch. 9 - Solve. [9.4b] Carton Dimensions. One type of...Ch. 9 - Solve. [9.4b] Flower Beds. The sum of the areas of...Ch. 9 - 35. Find two positive integers whose sum is 12 and...Ch. 9 - Vegetable Garden. A rectangular vegetable garden...Ch. 9 - From the selections below, choose a graphical...Ch. 9 - Find the center and the radius of the circle...Ch. 9 - Solve: 4x2x3y2=9,x2+x+y2=2. [9.4a]Ch. 9 - Prob. 40RECh. 9 - 41. Find an equation of the ellipse with the...Ch. 9 - Find the point on the x-axis that is equidistant...Ch. 9 - Classify each graph as either a circle, an...Ch. 9 - Classify each graph as either a circle, an...Ch. 9 - Classify each graph as either a circle, an...Ch. 9 - Classify each graph as either a circle, an...Ch. 9 - Classify each graph as either a circle, an...Ch. 9 - Classify each graph as either a circle, an...Ch. 9 - We have studied techniques for solving systems of...Ch. 9 - 2. Consider the standard equations of a circle, a...Ch. 9 - How does the graph of a hyperbola differ from the...Ch. 9 - If, in x2a2y2b2=1, a=b, what are the asymptotes of...Ch. 9 - Find the distance between each pair of points....Ch. 9 - Find the distance between each pair of points....Ch. 9 - Find the midpoint of the segment with the given...Ch. 9 - Find the midpoint of the segment with the given...Ch. 9 - Prob. 5TCh. 9 - Prob. 6TCh. 9 - Prob. 7TCh. 9 - Graph. y=x24x1Ch. 9 - Graph. x2+y2=36Ch. 9 - Graph.
10.
Ch. 9 - Graph. (x+2)216+(y3)29=1Ch. 9 - Graph. x2+y24x+6y+4=0Ch. 9 - Graph.
13.
Ch. 9 - Graph. xy=4Ch. 9 - Graph.
15.
Ch. 9 - Solve x216+y29=1,3x+4y=12 [9.4a]Ch. 9 - Solve
17. [9.4a]
Ch. 9 - 18. Home Office. A rectangular home office has a...Ch. 9 - Prob. 19TCh. 9 - Prob. 20TCh. 9 - Prob. 21TCh. 9 - Prob. 22TCh. 9 - Prob. 23TCh. 9 - Prob. 24TCh. 9 - Prob. 25TCh. 9 - Prob. 26TCh. 9 - Prob. 1CRCh. 9 - Prob. 2CRCh. 9 - Prob. 3CRCh. 9 - Prob. 4CRCh. 9 - Prob. 5CRCh. 9 - Prob. 6CRCh. 9 - Prob. 7CRCh. 9 - Prob. 8CRCh. 9 - Prob. 9CRCh. 9 - Prob. 10CRCh. 9 - Prob. 11CRCh. 9 - Prob. 12CRCh. 9 - Prob. 13CRCh. 9 - Prob. 14CRCh. 9 - Solve. log2x+log2(x+7)=3Ch. 9 - Prob. 16CRCh. 9 - Prob. 17CRCh. 9 - Prob. 18CRCh. 9 - Prob. 19CRCh. 9 - Prob. 20CRCh. 9 - Prob. 21CRCh. 9 - Prob. 22CRCh. 9 - Prob. 23CRCh. 9 - Prob. 24CRCh. 9 - Prob. 25CRCh. 9 - Prob. 26CRCh. 9 - Prob. 27CRCh. 9 - Prob. 28CRCh. 9 - Prob. 29CRCh. 9 - Prob. 30CRCh. 9 - Prob. 31CRCh. 9 - Prob. 32CRCh. 9 - Prob. 33CRCh. 9 - Prob. 34CRCh. 9 - Prob. 35CRCh. 9 - Prob. 36CRCh. 9 - Prob. 37CRCh. 9 - Prob. 38CRCh. 9 - Prob. 39CRCh. 9 - Prob. 40CRCh. 9 - Prob. 41CRCh. 9 - Prob. 42CRCh. 9 - Prob. 43CRCh. 9 - Prob. 44CRCh. 9 - Prob. 45CRCh. 9 - Prob. 46CRCh. 9 - Prob. 47CRCh. 9 - Prob. 48CRCh. 9 - Prob. 49CRCh. 9 - Prob. 50CRCh. 9 - Prob. 51CRCh. 9 - Prob. 52CRCh. 9 - Prob. 53CRCh. 9 - Prob. 54CRCh. 9 - Prob. 55CRCh. 9 - Prob. 56CRCh. 9 - Prob. 57CRCh. 9 - Prob. 58CRCh. 9 - Prob. 59CRCh. 9 - Prob. 60CRCh. 9 - Prob. 61CRCh. 9 - Prob. 62CRCh. 9 - Prob. 63CRCh. 9 - Prob. 64CRCh. 9 - Prob. 65CRCh. 9 - 66. Book Club. A book club offers two types of...Ch. 9 - Prob. 67CRCh. 9 - Prob. 68CRCh. 9 - Prob. 69CRCh. 9 - Prob. 70CRCh. 9 - Prob. 71CRCh. 9 - Prob. 72CRCh. 9 - Prob. 73CRCh. 9 - Prob. 74CRCh. 9 - Prob. 75CRCh. 9 - Prob. 76CRCh. 9 - 77. Beam Load. The weight W that a horizontal beam...Ch. 9 - 78. Fit a linear function to the data points.
Ch. 9 - 79. Fit a quadratic function to the data points.
...Ch. 9 - Convert to a logarithmic equation: 106=r.Ch. 9 - 81. Convert to an exponential equation: .
Ch. 9 - Express as a single logarithm:...Ch. 9 - Express in terms of logarithms of x, y, and z:...Ch. 9 -
84. What is the maximum product of two numbers...Ch. 9 - Determine whether the function f(x)=4x2 is...Ch. 9 - 86. For the graph of function f shown here,...Ch. 9 - 87. Population Growth of Nevada. In 2012, the...Ch. 9 - 88. Solve:
Ch. 9 - Solve: log2(log3x)=2Ch. 9 - 90. Describe the graph of
When a
Ch. 9 - Diaphantos, a famous mathematician, spent 16 of is...
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- Select the best statement. A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors are distinct. n B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0 excluded spans Rª. ○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n vectors. ○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors spans Rn. E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn. F. none of the abovearrow_forwardWhich of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) ☐ A. { 7 4 3 13 -9 8 -17 7 ☐ B. 0 -8 3 ☐ C. 0 ☐ D. -5 ☐ E. 3 ☐ F. 4 THarrow_forward3 and = 5 3 ---8--8--8 Let = 3 U2 = 1 Select all of the vectors that are in the span of {u₁, u2, u3}. (Check every statement that is correct.) 3 ☐ A. The vector 3 is in the span. -1 3 ☐ B. The vector -5 75°1 is in the span. ГОЛ ☐ C. The vector 0 is in the span. 3 -4 is in the span. OD. The vector 0 3 ☐ E. All vectors in R³ are in the span. 3 F. The vector 9 -4 5 3 is in the span. 0 ☐ G. We cannot tell which vectors are i the span.arrow_forward
- (20 p) 1. Find a particular solution satisfying the given initial conditions for the third-order homogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y(3)+2y"-y-2y = 0; y(0) = 1, y'(0) = 2, y"(0) = 0; y₁ = e*, y2 = e¯x, y3 = e−2x (20 p) 2. Find a particular solution satisfying the given initial conditions for the second-order nonhomogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y"-2y-3y = 6; y(0) = 3, y'(0) = 11 yc = c₁ex + c2e³x; yp = −2 (60 p) 3. Find the general, and if possible, particular solutions of the linear systems of differential equations given below using the eigenvalue-eigenvector method. (See Section 7.3 in your textbook if you need a review of the subject.) = a) x 4x1 + x2, x2 = 6x1-x2 b) x=6x17x2, x2 = x1-2x2 c) x = 9x1+5x2, x2 = −6x1-2x2; x1(0) = 1, x2(0)=0arrow_forwardFind the perimeter and areaarrow_forwardAssume {u1, U2, us} spans R³. Select the best statement. A. {U1, U2, us, u4} spans R³ unless u is the zero vector. B. {U1, U2, us, u4} always spans R³. C. {U1, U2, us, u4} spans R³ unless u is a scalar multiple of another vector in the set. D. We do not have sufficient information to determine if {u₁, u2, 43, 114} spans R³. OE. {U1, U2, 3, 4} never spans R³. F. none of the abovearrow_forward
- Assume {u1, U2, 13, 14} spans R³. Select the best statement. A. {U1, U2, u3} never spans R³ since it is a proper subset of a spanning set. B. {U1, U2, u3} spans R³ unless one of the vectors is the zero vector. C. {u1, U2, us} spans R³ unless one of the vectors is a scalar multiple of another vector in the set. D. {U1, U2, us} always spans R³. E. {U1, U2, u3} may, but does not have to, span R³. F. none of the abovearrow_forwardLet H = span {u, v}. For each of the following sets of vectors determine whether H is a line or a plane. Select an Answer u = 3 1. -10 8-8 -2 ,v= 5 Select an Answer -2 u = 3 4 2. + 9 ,v= 6arrow_forwardSolve for the matrix X: X (2 7³) x + ( 2 ) - (112) 6 14 8arrow_forward
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