PREALGEBRA
15th Edition
ISBN: 9781938168994
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 5.3, Problem 276E
In the following exercises, approximate the(a) circumference and (b) area of each
radius =
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Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
F. none of the above
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 above
Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
F. none of the above
Chapter 5 Solutions
PREALGEBRA
Ch. 5.1 - TRY IT : 5.1 Name each decimal: 6.7 (b) 19.58 (c)...Ch. 5.1 - TRY IT : 5.2 Name each decimal: 5.8 (b) 3.57 (c)...Ch. 5.1 - TRY IT : 5,3 Write as a decimal: thirteen and...Ch. 5.1 - TRY IT : 5.4 Write as a decimal: five and eight...Ch. 5.1 - TRY IT : 5.5 Write as a decimal: fifty-eight...Ch. 5.1 - TRY IT : 5.6 Write as a decimal: sixty-seven...Ch. 5.1 - TRY IT: 5.7 Write as a fraction or mixed number....Ch. 5.1 - TRY IT : 5.8 Write as a fraction or mixed number....Ch. 5.1 - TRY IT: 5.9 Locate 0.6 on a number line.Ch. 5.1 - TRY IT: 5.10 Locate 0.9 on a number line.
Ch. 5.1 - TRY IT: 5.10 Locate -0.63 on a number line.Ch. 5.1 - TRY IT: 5.12 Locate -0.25 on a number line.Ch. 5.1 - TRY IT: 5.13 Order each of the following pairs of...Ch. 5.1 - TRY IT: 5.14 Order each of the following pairs of...Ch. 5.1 - TRY IT: 5.15 Order each of the following pairs of...Ch. 5.1 - TRY IT: 5.16 Order each of the following pairs of...Ch. 5.1 - TRY IT: 5.17 Round to the nearest hundredth:...Ch. 5.1 - TRY IT: 5.18 Round to the nearest hundredth:...Ch. 5.1 - TRY IT: 5.19 Round 6.582 to the nearest (a)...Ch. 5.1 - TRY IT: 5.20 Round 15.2175 to the nearest...Ch. 5.1 - In the following exercises, name each decimal....Ch. 5.1 - In the following exercises, name each decimal. 2....Ch. 5.1 - In the following exercises, name each decimal. 3....Ch. 5.1 - In the following exercises, name each decimal. 4....Ch. 5.1 - In the following exercises, name each decimal....Ch. 5.1 - In the following exercises, name each decimal. 6....Ch. 5.1 - In the following exercises, name each decimal....Ch. 5.1 - 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She bought a...Ch. 5.1 - Sales Tax Jennifer bought a $1,038,99 dining room...Ch. 5.1 - How does your knowledge of money help you learn...Ch. 5.1 - Explain how you write "three and nine hundredths"...Ch. 5.1 - Jim ran a l(X)-meter race in 12.32 seconds, Tim...Ch. 5.1 - Gerry saw a sign advertising postcards marked for...Ch. 5.2 - TRY IT : 5.21 Add: 5.7 + 11.9.Ch. 5.2 - TRY IT : 5.22 Add: 18.32 + 14.79.Ch. 5.2 - TRY IT : 5.23 Add: 4.8 + 11.69.Ch. 5.2 - TRY IT: : 5.24 Add: 5.123 + 18.47Ch. 5.2 - TRY IT : 5.25 Subtract: 10 9.58.Ch. 5.2 - TRY IT : 5.26 Subtract: 50 37.42.Ch. 5.2 - TRY IT : 5.27 Subtract: 4.77 6.3.Ch. 5.2 - TRY IT : 5.28 Subtract: 8.12 11.7.Ch. 5.2 - TRY IT : 5.29 Multiply : 4.5(6.107).Ch. 5.2 - TRY IT : 5.30 Multiply: 10.79(8.12).Ch. 5.2 - TRY IT : 5.31 Multiply: (4.63)(-2.9).Ch. 5.2 - TRY IT : 5.31 Multiply: (-7.78)(4.9).Ch. 5.2 - TRY IT : 5.33 Multiply: (0.04)(0.087).Ch. 5.2 - TRY IT : 5.34 Multiply: (0.09)(0.067).Ch. 5.2 - TRY IT : 5.35 Multiply 2.58 by factors of (a) 10...Ch. 5.2 - TRY IT : 5.36 Multiply 14.2 by factors of (a) 10...Ch. 5.2 - TRY IT : 5.37 Divide: 0.28 4.Ch. 5.2 - TRY IT : 5.38 Divide: 0.56 7.Ch. 5.2 - TRY IT : 5.39 Divide: $6.99 36.Ch. 5.2 - TRY IT : 5.40 Divide: $4.99 12.Ch. 5.2 - TRY IT : 5.41 Divide: -1.989 5.1.Ch. 5.2 - TRY IT : 5.45 Divide: -2.04 5-1.Ch. 5.2 - TRY IT : 5.43 Divide: -23.492 (-0-04).Ch. 5.2 - TRY IT : 5.44 Divide: -4.11 (-0-12).Ch. 5.2 - TRY IT : 5.45 Divide: 6 0-03.Ch. 5.2 - TRY IT : 5.46 Divide: 7 0-02.Ch. 5.2 - TRY IT : 5 47 Nicole earned $35 for babysitting...Ch. 5.2 - TRY IT : 5 48 Amber bought a pair of shoes for...Ch. 5.2 - TRY IT : 5 49 Hector put 13 gallons of gas into...Ch. 5.2 - TRY IT : 5 50 Christopher bought 5 pizzas for the...Ch. 5.2 - TRY IT : 5 51 Six friends went out for dinner. The...Ch. 5.2 - TRY IT : 5.52 Chad worked 40 hours last week and...Ch. 5.2 - TRY IT : 5.53 Suzanne buys 3 cans of beans that...Ch. 5.2 - TRY IT : 5.54 Lydia bought movie tickets for the...Ch. 5.2 - In the following exercises, add or subtract. 16.92...Ch. 5.2 - In the following exercises, add or subtract. 18.37...Ch. 5.2 - In the following exercises, add or subtract....Ch. 5.2 - In the following exercises, add or subtract....Ch. 5.2 - In the following exercises, add or subtract. 21.76...Ch. 5.2 - In the following exercises, add or subtract. 15.35...Ch. 5.2 - In the following exercises, add or subtract. 37.5...Ch. 5.2 - In the following exercises, add or subtract. 38.6...Ch. 5.2 - In the following exercises, add or subtract....Ch. 5.2 - In the following exercises, add or subtract....Ch. 5.2 - In the following exercises, add or subtract....Ch. 5.2 - In the following exercises, add or subtract. 29.83...Ch. 5.2 - In the following exercises, add or subtract. -4.2...Ch. 5.2 - In the following exercises, add or subtract. -8.6...Ch. 5.2 - In the following exercises, add or subtract. 100 ...Ch. 5.2 - In the following exercises, add or subtract. 100 ...Ch. 5.2 - In the following exercises, add or subtract. 72.5 ...Ch. 5.2 - In the following exercises, add or subtract. 86.2 ...Ch. 5.2 - In the following exercises, add or subtract. 15 +...Ch. 5.2 - In the following exercises, add or subtract. 27 +...Ch. 5.2 - In the following exercises, add or subtract. 2.51...Ch. 5.2 - In the following exercises, add or subtract. 9.38...Ch. 5.2 - In the following exercises, add or subtract....Ch. 5.2 - In the following exercises, add or subtract. 94.69...Ch. 5.2 - In the following exercises, add or subtract. 55.01...Ch. 5.2 - In the following exercises, add or subtract. 59.08...Ch. 5.2 - In the following exercises, add or subtract. 2.51 ...Ch. 5.2 - In the following exercises, add or subtract. 3.84...Ch. 5.2 - In the following exercises, multiply. (0.3) (0.4)Ch. 5.2 - In the following exercises, multiply. (0.6) (0.7)Ch. 5.2 - In the following exercises, multiply. (0.24)(0.6)Ch. 5.2 - In the following exercises, multiply. (0.81)(0.3)Ch. 5.2 - In the following exercises, multiply. (5.9)(7.12)Ch. 5.2 - In the following exercises, multiply. (2.3)(9.41)Ch. 5.2 - In the following exercises, multiply. (8.52)(3.14)Ch. 5.2 - In the following exercises, multiply. (5.32)(4.86)Ch. 5.2 - In the following exercises, multiply. (-4.3)...Ch. 5.2 - In the following exercises, multiply. (-8.5)...Ch. 5.2 - In the following exercises, multiply....Ch. 5.2 - In the following exercises, multiply. (-9.16)...Ch. 5.2 - In the following exercises, multiply....Ch. 5.2 - In the following exercises, multiply....Ch. 5.2 - In the following exercises, multiply....Ch. 5.2 - In the following exercises, multiply....Ch. 5.2 - In the following exercises, multiply. (9.24)(10)Ch. 5.2 - In the following exercises, multiply. (6.531)(10)Ch. 5.2 - In the following exercises, multiply....Ch. 5.2 - In the following exercises, multiply....Ch. 5.2 - In the following exercises, divide. 0.15 5Ch. 5.2 - In the following exercises, divide. 0.27 3Ch. 5.2 - In the following exercises, divide. 4.75 25Ch. 5.2 - In the following exercises, divide. 12.04 43Ch. 5.2 - In the following exercises, divide. $8.49 12Ch. 5.2 - In the following exercises, divide. $16.99 9Ch. 5.2 - In the following exercises, divide. $1174.25 48Ch. 5.2 - In the following exercises, divide. $109.24 36Ch. 5.2 - In the following exercises, divide. 0.6 0.2Ch. 5.2 - In the following exercises, divide. 0.8 0.4Ch. 5.2 - In the following exercises, divide. 1.44 (-0.3)Ch. 5.2 - In the following exercises, divide. 1.25 (-0.5)Ch. 5.2 - In the following exercises, divide. 1.75 (-0.05)Ch. 5.2 - In the following exercises, divide. -1.15 (-0.05)Ch. 5.2 - In the following exercises, divide. 5.2 2.5Ch. 5.2 - In the following exercises, divide. 6.5 3.25Ch. 5.2 - In the following exercises, divide. 12 0.08Ch. 5.2 - In the following exercises, divide. 5 0.04Ch. 5.2 - In the following exercises, divide. 11 0.55Ch. 5.2 - In the following exercises, divide. 14 0.35Ch. 5.2 - In the following exercises, simplify. 6(12.4-9.2)Ch. 5.2 - In the following exercises, simplify. 3(15.7 —...Ch. 5.2 - In the following exercises, simplify. 24(0.5)+...Ch. 5.2 - In the following exercises, simplify. 35(0.2) +...Ch. 5.2 - In the following exercises, simplify. 1.15(26.83+...Ch. 5.2 - In the following exercises, simplify. 1.18(46.22 +...Ch. 5.2 - In the following exercises, simplify. $45 4-...Ch. 5.2 - In the following exercises, simplify. $63 +...Ch. 5.2 - In the following exercises, simplify.Ch. 5.2 - In the following exercises, simplify. 27 (0.55 +...Ch. 5.2 - In the following exercises, simplify. (1.43 +0.27)...Ch. 5.2 - In the following exercises, simplify. (1.5 0.06) ...Ch. 5.2 - In the following exercises, simplify. [$75.42 +...Ch. 5.2 - In the following exercises, simplify. [$56,31 +...Ch. 5.2 - In the following exercises, use the strategy for...Ch. 5.2 - In the following exercises, use the strategy for...Ch. 5.2 - In the following exercises, use the strategy for...Ch. 5.2 - In the following exercises, use the strategy for...Ch. 5.2 - In the following exercises, use the strategy for...Ch. 5.2 - In the following exercises, use the strategy for...Ch. 5.2 - In the following exercises, use the strategy for...Ch. 5.2 - In the following exercises, use the strategy for...Ch. 5.2 - In the following exercises, use the strategy for...Ch. 5.2 - In the following exercises, use the strategy for...Ch. 5.2 - In the following exercises, use the strategy for...Ch. 5.2 - In the following exercises, use the strategy for...Ch. 5.2 - In the following exercises, use the strategy for...Ch. 5.2 - In the following exercises, use the strategy for...Ch. 5.2 - In the following exercises, use the strategy for...Ch. 5.2 - In the following exercises, use the strategy for...Ch. 5.2 - In the following exercises, use the strategy for...Ch. 5.2 - 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TRY IT : 5.66 Order each of the following pairs of...Ch. 5.3 - TRY IT : 5.67 Write each set of numbers in order...Ch. 5.3 - TRY IT : 5.68 Write each set of numbers in order...Ch. 5.3 - TRY IT : 5.69 Simplify: 8(14.6 37.5) 35 (9.6...Ch. 5.3 - TRY IT : 5.70 Simplify: 25(25.69 56.74) 27(11.9...Ch. 5.3 - TRY IT : 5.69 Simplify: 9 0.9 + (0.4)3 (0.2)2.Ch. 5.3 - TRY IT : 5.72 Simplify: (12)2+(0.3)(4.2) .Ch. 5.3 - TRY IT : 5.73 A circle has radius 50 inches,...Ch. 5.3 - TRY IT : 5.74 A circle has radius 100 feet....Ch. 5.3 - TRY IT : 5.75 A circle has radius 51.8...Ch. 5.3 - TRY IT : 5.76 A circle has radius 26.4 meters....Ch. 5.3 - TRY IT : 5.77 A circle has radius 521 meters....Ch. 5.3 - TRY IT : 5.78 A circle has radius 1033 inches....Ch. 5.3 - In the following exercises, convert each fraction...Ch. 5.3 - In the following exercises, convert each fraction...Ch. 5.3 - In the following exercises, convert each fraction...Ch. 5.3 - Y13In the following exercises, convert each...Ch. 5.3 - In the following exercises, convert each fraction...Ch. 5.3 - 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TRY IT : 5.85 Solve: - 8.4 = 0.7b.Ch. 5.4 - TRY IT : 5.86 Solve: -5.6 = 0.7c.Ch. 5.4 - TRY IT : 5.87 Solve: c2.6=4.5 .Ch. 5.4 - TRY IT : 5.88 Solve: b1.2=5.4 .Ch. 5.4 - TRY IT: 5.89 Trans and solve: The difference of y...Ch. 5.4 - TRY IT : 5.89 Trans and solve: The difference of z...Ch. 5.4 - TRY IT : 5.91 Trans and solve: The product of -4.3...Ch. 5.4 - TRY IT : 5.92 Trans and solve: The product of -3.1...Ch. 5.4 - TRY IT : 5.93 Trans and solve: The quotient of q...Ch. 5.4 - TRY IT : 5.94 Trans and solve: The quotient of r...Ch. 5.4 - TRY IT : 5.95 Trans and solve: The sum of j and...Ch. 5.4 - TRY IT : 5.96 Trans and solve: The sum of k and...Ch. 5.4 - In the following exercises, determine whether each...Ch. 5.4 - In the following exercises, determine whether each...Ch. 5.4 - In the following exercises, determine whether each...Ch. 5.4 - In the following exercises, determine whether each...Ch. 5.4 - In the following exercises, solve the equation....Ch. 5.4 - In the following exercises, solve the equation....Ch. 5.4 - 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The total price...Ch. 5.4 - Think abaout solving the equation 1.2y = 60, but...Ch. 5.4 - Think about solving the equation 0.8x = 200, but...Ch. 5.5 - TRY IT: 5.97 Find the mean of the numbers: 8, 9,...Ch. 5.5 - TRY IT: 5.98 Find the mean of the numbers: 9, 13,...Ch. 5.5 - TRY IT: 5.99 The ages of the four students in...Ch. 5.5 - TRY IT : 5.100 Yen counted the number of emails...Ch. 5.5 - TRY IT : 5.101 Last week Ray recorded how much he...Ch. 5.5 - TRY IT : 5.102 Lisa has kept the receipts from the...Ch. 5.5 - TRY IT : 5.103 Find the median of the data set:...Ch. 5.5 - TRY IT : 5.104 Find the median of the data set:...Ch. 5.5 - TRY IT : 5.105 Find the median of the data set: 8,...Ch. 5.5 - TRY IT: 5.106 Find the median of the data set: 21,...Ch. 5.5 - TRY IT: 5.107 The number of sick days employees...Ch. 5.5 - TRY IT: 5.108 The number of handbags owned by...Ch. 5.5 - TRY IT: 5.109 The ages of the students in a...Ch. 5.5 - TRY IT: 5.110 Students listed the number of...Ch. 5.5 - TRY IT: 5.111 Ignaly is attending a fashion show...Ch. 5.5 - TRY IT: 5.112 Hoang is among 20 people available...Ch. 5.5 - TRY IT: 513 A bowl of Halloween candy contains 5...Ch. 5.5 - TRY IT: 5114 Dan has 2 pairs of black socks and 6...Ch. 5.5 - In the following exercises, find the mean....Ch. 5.5 - In the following exercises, find the mean. 6, 1,...Ch. 5.5 - In the following exercises, find the mean. 65, 13,...Ch. 5.5 - In the following exercises, find the mean. 34, 45,...Ch. 5.5 - In the following exercises, find the mean. 202,...Ch. 5.5 - In the following exercises, find the mean. 525,...Ch. 5.5 - In the following exercises, find the mean. 12.45,...Ch. 5.5 - In the following exercises, find the mean. 28.8,...Ch. 5.5 - In the following exercises, find the mean. 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FI is paychecks...Ch. 5.5 - The cash register receipts each day last week at a...Ch. 5.5 - Explain in your own words the difference between...Ch. 5.5 - Make an example of probability that relates to...Ch. 5.6 - TRY IT : 5.115 Write each ratio as a fraction: (a)...Ch. 5.6 - TRY IT : 5.116 Write each ratio as a fraction: (a)...Ch. 5.6 - TRY IT : 5.117 Write each ratio as a fraction: (a)...Ch. 5.6 - TRY IT: 5.118 Write each ratio as a fraction: (a)...Ch. 5.6 - TRY IT : ; 5.119 Write each ratio as a fraction:...Ch. 5.6 - TRY IT : 5.120 Write each ratio as a fraction :...Ch. 5.6 - TRY IT : 5.121 Find the patient's ratio of total...Ch. 5.6 - TRY IT : 5.122 Find the patient's ratio of total...Ch. 5.6 - TRY IT: 5.123 Find the ratio of the first length...Ch. 5.6 - TRY IT: 5.124 Find the ratio of the first length...Ch. 5.6 - TRY IT : 5.125 Write the rate as a fraction: 492...Ch. 5.6 - TRY IT : 5.126 Write the rate as a fraction: 242...Ch. 5.6 - TRY IT : 5127 Find the unit rate: $630 for 35...Ch. 5.6 - TRY IT : 5.128 Find the unit rate: $684 for 36...Ch. 5.6 - TRY IT: 5129 Find the unit rate: 423 miles to 18...Ch. 5.6 - TRY IT : 5.130 Find the unit rate: 406 miles to...Ch. 5.6 - TRY IT : 5.131 Find the unit price. 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The average American produces about 1,600 pounds...Ch. 5.6 - A popular fast food burger weighs 7.5 ounces and...Ch. 5.6 - A 16-ounee chocolate mocha coffee with whipped...Ch. 5.6 - Would you prefer the ratio of your income to your...Ch. 5.6 - The parking lot at the airport charges $0.75 for...Ch. 5.6 - Kathryn ate a 4-ounce cup of frozen yogurt and...Ch. 5.6 - Mollie had a 16-ounce cappuccino at her...Ch. 5.7 - TRY IT: : 5.137 Simplify: (a) 36 (b) 169Ch. 5.7 - TRY IT: : 5.138 Simplify: (a) 16 (b) 196Ch. 5.7 - TRY IT: 5.139 Simplify: (a) 4 (b) 225Ch. 5.7 - TRY IT: : 5.140 Simplify: (a) 81 (b) 64Ch. 5.7 - TRY IT: 5.141 Simplify: (a) 196 (b) 81 .Ch. 5.7 - TRY IT: 5.142 Simplify: (a) 49 (b) 121 .Ch. 5.7 - TRY IT: 5.143 Simplify: (a) 9+16 (b) 9+16 .Ch. 5.7 - TRY IT: 5.144 Simplify: (a) 64+225s (b) 64+225 .Ch. 5.7 - TRY IT: 5.145 Estimate 38 between two consecutive...Ch. 5.7 - TRY IT: 5.145 Estimate 84 between two consecutive...Ch. 5.7 - TRY IT: 5.147 Estimate 11 to two decimal places.Ch. 5.7 - TRY IT: 5.148 Round 13 to two decimal places.Ch. 5.7 - TRY IT: 5.149 Simplify: y2Ch. 5.7 - TRY IT: 5.150 Simplify: m2 .Ch. 5.7 - TRY IT: 5.151 Simplify: 642.Ch. 5.7 - TRY IT: 5.152 Simplify: 169y2.Ch. 5.7 - TRY IT: 5.153 Simplify: 121y2.Ch. 5.7 - TRY IT: 5.154 Simplify: 100p2.Ch. 5.7 - TRY IT: 5.155 Simplify: 100a2b2.Ch. 5.7 - TRY IT: 5.156 Simplify: 225m2n2.Ch. 5.7 - TRY IT : 5.157 Katie wants to plant a square lawn...Ch. 5.7 - TRY IT : 5.158 Katie wants to plant a square lawn...Ch. 5.7 - TRY IT : 5.159 A helicopter drops a rescue package...Ch. 5.7 - TRY IT : 5.160 A window washer drops a squeegee...Ch. 5.7 - TRY IT : 5.161 An accident investigator measured...Ch. 5.7 - TRY IT: 5.162 The skid marks of a vehicle involved...Ch. 5.7 - In the following exercises, simplify. 36Ch. 5.7 - In the following exercises, simplify. 4Ch. 5.7 - In the following exercises, simplify. 64Ch. 5.7 - In the following exercises, simplify. 144Ch. 5.7 - In the following exercises, simplify. 4Ch. 5.7 - In the following exercises, simplify. 100Ch. 5.7 - 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- Which 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_forward
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- 5. Solve for the matrix X. (Hint: we can solve AX -1 = B whenever A is invertible) 2 3 0 Χ 2 = 3 1arrow_forwardWrite p(x) = 6+11x+6x² as a linear combination of ƒ (x) = 2+x+4x² and g(x) = 1−x+3x² and h(x)=3+2x+5x²arrow_forward3. Let M = (a) - (b) 2 −1 1 -1 2 7 4 -22 Find a basis for Col(M). Find a basis for Null(M).arrow_forward
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