Pearson eText for Thinking Mathematically -- Instant Access (Pearson+)
7th Edition
ISBN: 9780137502240
Author: ROBERT BLITZER
Publisher: PEARSON+
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Chapter 9.3, Problem 92E
To determine
Whether the given statement makes sense or not.
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The total profit P(X) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In (-x+6x² + 63x+1) (0≤x≤10). a)
Find the number of units that should be sold in order to maximize the total profit. b) What is the maximum profit?
a) The number of units that should be sold in order to maximize the total profit is ☐
(Simplify your answer.)
Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema.
f(x) = -x3+3x² +24x-4
Select the correct choice below and, if necessary, fill in any answer boxes within your choice.
OA. There are no relative maxima. The function has a relative minimum of
at x=
(Use a comma to separate answers as needed.)
OB. The function has relative minimum of at x=
and a relative maximum of
at x=
(Use a comma to separate answers as needed.)
OC. There are no relative minima. The function has a relative maximum of
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OD. There are no relative extrema.
at x=
33
(a)
(b)
Let
A(t) =
=
et
0
0
0 cos(t) sin(t)
0-sin(t) cos(t))
For any fixed tЄR, find det(A(t)).
Show that the matrix A(t) is invertible for any tЄ R, and find the
inverse (A(t))¹.
Chapter 9 Solutions
Pearson eText for Thinking Mathematically -- Instant Access (Pearson+)
Ch. 9.1 - CHECK POINT 1 Convert: a. 78 inches to feet b....Ch. 9.1 - CHECK POINT 2
a. Convert 8000 meters to...Ch. 9.1 - CHECK POINT 3 a. Convert 8 feet to centimeters. b....Ch. 9.1 - CHECK POINT 4 A road in Europe has a speed limit...Ch. 9.1 - The result obtained from measuring length is...Ch. 9.1 - In the English system, _________ in. = 1 ft,...Ch. 9.1 - Fractions such as 12 in . 1 ft and 1 yd 3 ...Ch. 9.1 - In the metric system, 1 km= __________ m, l hm =...Ch. 9.1 - In Exercises 5-8, determine whether each statement...Ch. 9.1 - In Exercises 5-8, determine whether each statement...
Ch. 9.1 - Prob. 7CVCCh. 9.1 - Prob. 8CVCCh. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 1-16, use dimensional analysis to...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 17-26, use the diagram in the box on...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - Prob. 33ECh. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - Prob. 36ECh. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - Prob. 42ECh. 9.1 - In Exercises 27-44, use the following English and...Ch. 9.1 - Prob. 44ECh. 9.1 - Use 1 mi ≈ 1 .6 km to solve Exercises 45-48....Ch. 9.1 - Prob. 46ECh. 9.1 - Use 1 mi ≈ 1 .6 km to solve Exercises 45-48....Ch. 9.1 - Use 1 mi ≈ 1 .6 km to solve Exercises 45-48....Ch. 9.1 - In Exercises 49-52, use the unit fractions 36 in...Ch. 9.1 - In Exercises 49-52, use the unit fractions 36 in...Ch. 9.1 - In Exercises 49-52, use the unit fractions
51....Ch. 9.1 - In Exercises 49-52, use the unit fractions 36 in...Ch. 9.1 - In Exercises 53-54, use the unit fractions
53....Ch. 9.1 - In Exercises 53-54, use the unit fractions 5280 ...Ch. 9.1 - Use unit fractions to express 120 miles per hour...Ch. 9.1 - Prob. 56ECh. 9.1 - In Exercises 57-66, selecting from millimeter,...Ch. 9.1 - In Exercises 57-66, selecting from millimeter,...Ch. 9.1 - In Exercises 57-66, selecting from millimeter,...Ch. 9.1 - In Exercises 57-66, selecting from millimeter,...Ch. 9.1 - Prob. 61ECh. 9.1 - Prob. 62ECh. 9.1 - In Exercises 57-66, selecting from millimeter,...Ch. 9.1 - In Exercises 57-66, selecting from millimeter,...Ch. 9.1 - In Exercises 57-66, selecting from millimeter,...Ch. 9.1 - In Exercises 57-66, selecting from millimeter,...Ch. 9.1 - Prob. 67ECh. 9.1 - Prob. 68ECh. 9.1 - Prob. 69ECh. 9.1 - Prob. 70ECh. 9.1 - Prob. 71ECh. 9.1 - In Exercises 67-74, select the best estimate for...Ch. 9.1 - In Exercises 67-74, select the best estimate for...Ch. 9.1 - Prob. 74ECh. 9.1 - Prob. 75ECh. 9.1 - Prob. 76ECh. 9.1 - Prob. 77ECh. 9.1 - Prob. 78ECh. 9.1 - Prob. 79ECh. 9.1 - Exercises 79-80 give the approximate length of...Ch. 9.1 - Prob. 81ECh. 9.1 - Exercises 81-82 give the approximate height of...Ch. 9.1 - Exercises 83-84 give the average rainfall of some...Ch. 9.1 - Prob. 84ECh. 9.1 - Prob. 85ECh. 9.1 - 86. Describe how to use dimensional analysis to...Ch. 9.1 - Prob. 87ECh. 9.1 - Prob. 88ECh. 9.1 - Prob. 89ECh. 9.1 - What kind of difficulties might arise if the...Ch. 9.1 - Prob. 91ECh. 9.1 - Prob. 92ECh. 9.1 - Make Sense? In Exercises 92-95, determine whether...Ch. 9.1 - Prob. 94ECh. 9.1 - Prob. 95ECh. 9.1 - Prob. 96ECh. 9.1 - Prob. 97ECh. 9.1 - Prob. 98ECh. 9.1 - Prob. 99ECh. 9.1 - Prob. 100ECh. 9.2 - CHECK POINT 1 What is the area of the region...Ch. 9.2 - CHECK POINT 2 The population of California is...Ch. 9.2 - Prob. 3CPCh. 9.2 - CHECK POINT 4 A property in northern California is...Ch. 9.2 - CHECK POINT 5 What is the volume of the region...Ch. 9.2 - CHECK POINT 6 A pool has a volume of 10,000 cubic...Ch. 9.2 - CHECK POINT 7 A fish pond has a volume of 220,000...Ch. 9.2 - CHECK POINT 8 A physician orders 20 cc of the...Ch. 9.2 - Prob. 1CVCCh. 9.2 - Prob. 2CVCCh. 9.2 - Because 1 mi 2 = 640 acres, the unit fraction...Ch. 9.2 - Prob. 4CVCCh. 9.2 - Prob. 5CVCCh. 9.2 - Prob. 6CVCCh. 9.2 - Prob. 7CVCCh. 9.2 - In Exercises 8-10, determine whether each...Ch. 9.2 - In Exercises 8-10, determine whether each...Ch. 9.2 - In Exercises 8-10, determine whether each...Ch. 9.2 - Prob. 1ECh. 9.2 - In Exercises 1-4, use the given figure to find its...Ch. 9.2 - In Exercises 1-4, use the given figure to find its...Ch. 9.2 - In Exercises 1-4, use the given figure to find its...Ch. 9.2 - In Exercises 5-12, use Table 9.4 on page 588,...Ch. 9.2 - In Exercises 5-12, use Table 9.4 on page 588,...Ch. 9.2 - In Exercises 5-12, use Table 9.4 on page 588,...Ch. 9.2 - In Exercises 5-12, use Table 9.4 on page 588,...Ch. 9.2 - In Exercises 5-12, use Table 9.4 on page 588,...Ch. 9.2 - Prob. 10ECh. 9.2 - In Exercises 5-12, use Table 9.4 on page 588,...Ch. 9.2 - Prob. 12ECh. 9.2 - In Exercises 13-14, use the given figure to find...Ch. 9.2 - In Exercises 13-14, use the given figure to find...Ch. 9.2 - In Exercises 15-22, use Table 9.5 on page590,...Ch. 9.2 - In Exercises 15-22, use Table 9.5 on page590,...Ch. 9.2 - In Exercises 15-22, use Table 9.5 on page590,...Ch. 9.2 - In Exercises 15-22, use Table 9.5 on page590,...Ch. 9.2 - In Exercises 15-22, use Table 9.5 on page590,...Ch. 9.2 - In Exercises 15-22, use Table 9.5 on page590,...Ch. 9.2 - In Exercises 15-22, use Table 9.5 on page590,...Ch. 9.2 - In Exercises 15-22, use Table 9.5 on page590,...Ch. 9.2 - In Exercises 23-32, use Table 9.7 on page 591,...Ch. 9.2 - Prob. 24ECh. 9.2 - In Exercises 23-32, use Table 9.7 on page 591,...Ch. 9.2 - Prob. 26ECh. 9.2 - In Exercises 23-32, use Table 9.7 on page 591,...Ch. 9.2 - Prob. 28ECh. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - In Exercises 33-48, use Table 9.8 on page 591,...Ch. 9.2 - Prob. 34ECh. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 - In Exercises 33-48, use Table 9.8 on page 591,...Ch. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - In Exercises 33-48, use Table 9.8 on page 591,...Ch. 9.2 - Prob. 43ECh. 9.2 - Prob. 44ECh. 9.2 - In Exercises 33-48, use Table 9.8 on page 591,...Ch. 9.2 - Prob. 46ECh. 9.2 - In Exercises 33-48, use Table 9.8 on page 591,...Ch. 9.2 - In Exercises 33-48, use Table 9.8 on page 591,...Ch. 9.2 - The bar graph shows the resident population and...Ch. 9.2 - The bar graph shows the resident population and...Ch. 9.2 - The bar graph shows the resident population and...Ch. 9.2 - Prob. 52ECh. 9.2 - In Exercises 53-54, find the population density,...Ch. 9.2 - In Exercises 53-54, find the population density,...Ch. 9.2 - Prob. 55ECh. 9.2 - Prob. 56ECh. 9.2 - A property that measures 8 hectares is for sale....Ch. 9.2 - Prob. 58ECh. 9.2 - Prob. 59ECh. 9.2 - Prob. 60ECh. 9.2 - Prob. 61ECh. 9.2 - Prob. 62ECh. 9.2 - Prob. 63ECh. 9.2 - Prob. 64ECh. 9.2 - Prob. 65ECh. 9.2 - Prob. 66ECh. 9.2 - Prob. 67ECh. 9.2 - Prob. 68ECh. 9.2 - Prob. 69ECh. 9.2 - Prob. 70ECh. 9.2 - Prob. 71ECh. 9.2 - Prob. 72ECh. 9.2 - Exercises 73-74 give the approximate area of some...Ch. 9.2 - Exercises 73-74 give the approximate area of some...Ch. 9.2 - (Source for Exercises 71-74: Russell Ash, The Top...Ch. 9.2 - Prob. 76ECh. 9.2 - Prob. 77ECh. 9.2 - Prob. 78ECh. 9.2 - Prob. 79ECh. 9.2 - Prob. 80ECh. 9.2 - Prob. 81ECh. 9.2 - Prob. 82ECh. 9.2 - Prob. 83ECh. 9.2 - Prob. 84ECh. 9.2 - Prob. 85ECh. 9.2 - Prob. 86ECh. 9.2 - Prob. 87ECh. 9.2 - 88. Nebraska has a population density of 23.8...Ch. 9.2 - Prob. 89ECh. 9.2 - Prob. 90ECh. 9.2 - Prob. 91ECh. 9.2 - Prob. 92ECh. 9.2 - Prob. 93ECh. 9.3 - CHECK POINT I a. Convert 4.2 dg to mg. b. Convert...Ch. 9.3 - Prob. 2CPCh. 9.3 - Prob. 3CPCh. 9.3 - Prob. 4CPCh. 9.3 - Prob. 5CPCh. 9.3 - Prob. 6CPCh. 9.3 - Prob. 1CVCCh. 9.3 - Prob. 2CVCCh. 9.3 - Prob. 3CVCCh. 9.3 - Prob. 4CVCCh. 9.3 - On the Fahrenheit temperature scale, water freezes...Ch. 9.3 - 6. On the Celsius temperature scale, water freezes...Ch. 9.3 - Prob. 7CVCCh. 9.3 - Prob. 8CVCCh. 9.3 - Prob. 9CVCCh. 9.3 - Prob. 10CVCCh. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 1-10, convert the given unit of...Ch. 9.3 - In Exercises 11-18, use Table 9.10 on page 598 to...Ch. 9.3 - In Exercises 11-18, use Table 9.10 on page 598 to...Ch. 9.3 - In Exercises 11-18, use Table 9.10 on page 598 to...Ch. 9.3 - In Exercises 11-18, use Table 9.10 on page 598 to...Ch. 9.3 - In Exercises 11-18, use Table 9.10 on page 598 to...Ch. 9.3 - In Exercises 11-18, use Table 9.10 on page 598 to...Ch. 9.3 - In Exercises 11-18, use Table 9.10 on page 598 to...Ch. 9.3 - In Exercises 11-18, use Table 9.10 on page 598 to...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 19-30, use the following equivalents,...Ch. 9.3 - In Exercises 31-38, convert the given Celsius...Ch. 9.3 - In Exercises 31-38, convert the given Celsius...Ch. 9.3 - In Exercises 31—38, convert the given Celsius...Ch. 9.3 - In Exercises 31-38, convert the given Celsius...Ch. 9.3 - In Exercises 31-38, convert the given Celsius...Ch. 9.3 - In Exercises 31-38, convert the given Celsius...Ch. 9.3 - In Exercises 31-38, convert the given Celsius...Ch. 9.3 - In Exercises 31—38, convert the given Celsius...Ch. 9.3 - Prob. 39ECh. 9.3 - Prob. 40ECh. 9.3 - In Exercises 39-50, convert the given Fahrenheit...Ch. 9.3 - In Exercises 39-50, convert the given Fahrenheit...Ch. 9.3 - Prob. 43ECh. 9.3 - In Exercises 39-50, convert the given Fahrenheit...Ch. 9.3 - In Exercises 39-50, convert the given Fahrenheit...Ch. 9.3 - 46.
In Exercises 39-50, convert the given...Ch. 9.3 - In Exercises 39-50, convert the given Fahrenheit...Ch. 9.3 - Prob. 48ECh. 9.3 - Prob. 49ECh. 9.3 - Prob. 50ECh. 9.3 - Prob. 51ECh. 9.3 - Prob. 52ECh. 9.3 - Prob. 53ECh. 9.3 - Prob. 54ECh. 9.3 - Prob. 55ECh. 9.3 - Prob. 56ECh. 9.3 - Prob. 57ECh. 9.3 - Prob. 58ECh. 9.3 - Prob. 59ECh. 9.3 - Prob. 60ECh. 9.3 - Prob. 61ECh. 9.3 - Prob. 62ECh. 9.3 - Prob. 63ECh. 9.3 - Prob. 64ECh. 9.3 - Prob. 65ECh. 9.3 - Prob. 66ECh. 9.3 -
Ch. 9.3 - Prob. 68ECh. 9.3 - Prob. 69ECh. 9.3 - Prob. 70ECh. 9.3 - Which is more economical: purchasing the economy...Ch. 9.3 - Exercises 72-73 ask you to determine drug dosage...Ch. 9.3 -
Ch. 9.3 - Prob. 74ECh. 9.3 - The label on a bottle of Emetrol (“for food or...Ch. 9.3 - Prob. 76ECh. 9.3 - Prob. 77ECh. 9.3 - Prob. 78ECh. 9.3 - Prob. 79ECh. 9.3 - Prob. 80ECh. 9.3 - Prob. 81ECh. 9.3 - Prob. 82ECh. 9.3 - Prob. 83ECh. 9.3 - Prob. 84ECh. 9.3 - Prob. 85ECh. 9.3 - Prob. 86ECh. 9.3 - Prob. 87ECh. 9.3 - Prob. 88ECh. 9.3 - Prob. 89ECh. 9.3 - Prob. 90ECh. 9.3 - Prob. 91ECh. 9.3 - Prob. 92ECh. 9.3 - Prob. 93ECh. 9.3 - Prob. 94ECh. 9.3 - Prob. 95ECh. 9.3 - Prob. 96ECh. 9.3 - Prob. 97ECh. 9.3 - Prob. 98ECh. 9.3 - Prob. 99ECh. 9.3 - Prob. 100ECh. 9.3 - Prob. 101ECh. 9.3 - Prob. 102ECh. 9 - In Exercises 1-4, use dimensional analysis to...Ch. 9 - In Exercises 1-4, use dimensional analysis to...Ch. 9 - In Exercises 1-4, use dimensional analysis to...Ch. 9 - In Exercises 1-4, use dimensional analysis to...Ch. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RECh. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - Prob. 16RECh. 9 - Prob. 17RECh. 9 - Prob. 18RECh. 9 - 19. Arrange from smallest to largest: 0.024 km,...Ch. 9 - Prob. 20RECh. 9 - Prob. 21RECh. 9 - Prob. 22RECh. 9 - Prob. 23RECh. 9 - Prob. 24RECh. 9 - Prob. 25RECh. 9 - Prob. 26RECh. 9 - Prob. 27RECh. 9 - Prob. 28RECh. 9 - Prob. 29RECh. 9 - Prob. 30RECh. 9 - Prob. 31RECh. 9 - Prob. 32RECh. 9 - Prob. 33RECh. 9 - Prob. 34RECh. 9 - Prob. 35RECh. 9 - Prob. 36RECh. 9 - Prob. 37RECh. 9 - 38. Explain why the area of Texas could not be...Ch. 9 - Prob. 39RECh. 9 - Prob. 40RECh. 9 - Prob. 41RECh. 9 - Prob. 42RECh. 9 - Prob. 43RECh. 9 - Prob. 44RECh. 9 - Prob. 45RECh. 9 - 46. Using 1 , convert 392 grams to ounces.
Ch. 9 - Prob. 47RECh. 9 - Prob. 48RECh. 9 - Prob. 49RECh. 9 - Prob. 50RECh. 9 - In Exercises 50-51, select the best estimate for...Ch. 9 - Prob. 52RECh. 9 - Prob. 53RECh. 9 - Prob. 54RECh. 9 - Prob. 55RECh. 9 - Prob. 56RECh. 9 - Prob. 57RECh. 9 - Prob. 58RECh. 9 - Prob. 59RECh. 9 - Prob. 60RECh. 9 - Prob. 61RECh. 9 - Prob. 62RECh. 9 - Prob. 63RECh. 9 - Prob. 1TCh. 9 - Prob. 2TCh. 9 - Prob. 3TCh. 9 - In Exercises 4-6, write the most reasonable metric...Ch. 9 - Prob. 5TCh. 9 - Prob. 6TCh. 9 - 7. If 1 mile 1.6 kilometers, express 80 miles per...Ch. 9 - Prob. 8TCh. 9 - Australia has a population of 22,992,654 and an...Ch. 9 - Prob. 10TCh. 9 - 11. The area of a dollar bill is...Ch. 9 - Prob. 12TCh. 9 - 13. The label on a bottle of Pepto Bismol...Ch. 9 - 14. A swimming pool has a volume of 10,000 cubic...Ch. 9 - 15. The capacity of a pail used to wash floors is...Ch. 9 - Prob. 16TCh. 9 - 17. The prescribed dosage of a drug is 10 mg/kg...Ch. 9 - In Exercises 18-19, write the most reasonable...Ch. 9 - Prob. 19TCh. 9 - Prob. 20TCh. 9 - 21. Convert 176°F to Celsius.
Ch. 9 - Prob. 22T
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- 1/6/25, 3:55 PM Question: 14 Similar right triangles EFG and HIJ are shown. re of 120 √65 adjacent E hypotenuse adjaca H hypotenuse Item Bank | DnA Er:nollesup .es/prist Sisupe ed 12um jerit out i al F 4 G I oppe J 18009 90 ODPO ysma brs & eaus ps sd jon yem What is the value of tan J? ed on yem O broppo 4 ○ A. √65 Qx oppoEF Adj art saused taupe ed for yem 4 ○ B. √65 29 asipnisht riod 916 zelprisht rad √65 4 O ○ C. 4 √65 O D. VIS 9 OD elimiz 916 aelonsider saused supsarrow_forward[) Hwk 25 Hwk 28 - (MA 244-03) (SP25) || X Success Confirmation of Questic X + https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=36606607&tags=autosave#question 384855 DETAILS MY NOTES LARLINALG8 7.2.001. 1. [-/2.85 Points] Consider the following. -14 60 A = [ -4-5 P = -3 13 -1 -1 (a) Verify that A is diagonalizable by computing P-1AP. P-1AP = 具首 (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices, then they have the same eigenvalues. (11, 12) = Need Help? Read It SUBMIT ANSWER 2. [-/2.85 Points] DETAILS MY NOTES LARLINALG8 7.2.007. For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not possible, enter IMPOSSIBLE.) P = A = 12 -3 -4 1 Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal. P-1AP = Need Help? Read It Watch It SUBMIT ANSWED 80% ill จ ASK YOUR TEACHER PRACTICE ANOTHER ASK YOUR…arrow_forwardCalculus lll May I please have the all properties of the dot product? Thank youarrow_forward
- H.w: Find the Eigen vectors for the largest Eigen value of the system X1+ +2x3=0 3x1-2x2+x3=0 4x1+ +3x3=0arrow_forward[) Hwk 25 → C Hwk 27 - (MA 244-03) (SP25) IN X Answered: [) Hwk 25 4. [-/4 Poir X + https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=36606606&tags=autosave#question3706544_6 3. [-/2.85 Points] DETAILS MY NOTES LARLINALG8 7.1.021. Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 2 -2 5 0 3 -2 0-1 2 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (1, 2, 13) = ·( ) a basis for each of the corresponding eigenspaces X1 x2 = x3 = Need Help? Read It Watch It SUBMIT ANSWER 4. [-/2.85 Points] DETAILS MY NOTES LARLINALG8 7.1.041. Find the eigenvalues of the triangular or diagonal matrix. (Enter your answers as a comma-separated list.) λ= 1 0 1 045 002 Need Help? Read It ASK YOUR TEACHER PRACTICE ANOTHER ASK YOUR TEACHER PRACTICE ANOTHER illarrow_forwardons 12. A sociologist hypothesizes that the crime rate is higher in areas with higher poverty rate and lower median income. She col- lects data on the crime rate (crimes per 100,000 residents), the poverty rate (in %), and the median income (in $1,000s) from 41 New England cities. A portion of the regression results is shown in the following table. Standard Coefficients error t stat p-value Intercept -301.62 549.71 -0.55 0.5864 Poverty 53.16 14.22 3.74 0.0006 Income 4.95 8.26 0.60 0.5526 a. b. Are the signs as expected on the slope coefficients? Predict the crime rate in an area with a poverty rate of 20% and a median income of $50,000. 3. Using data from 50 workarrow_forward
- 2. The owner of several used-car dealerships believes that the selling price of a used car can best be predicted using the car's age. He uses data on the recent selling price (in $) and age of 20 used sedans to estimate Price = Po + B₁Age + ε. A portion of the regression results is shown in the accompanying table. Standard Coefficients Intercept 21187.94 Error 733.42 t Stat p-value 28.89 1.56E-16 Age -1208.25 128.95 -9.37 2.41E-08 a. What is the estimate for B₁? Interpret this value. b. What is the sample regression equation? C. Predict the selling price of a 5-year-old sedan.arrow_forwardneed help with 5 and 6 pleasearrow_forwardian income of $50,000. erty rate of 13. Using data from 50 workers, a researcher estimates Wage = Bo+B,Education + B₂Experience + B3Age+e, where Wage is the hourly wage rate and Education, Experience, and Age are the years of higher education, the years of experience, and the age of the worker, respectively. A portion of the regression results is shown in the following table. ni ogolloo bash 1 Standard Coefficients error t stat p-value Intercept 7.87 4.09 1.93 0.0603 Education 1.44 0.34 4.24 0.0001 Experience 0.45 0.14 3.16 0.0028 Age -0.01 0.08 -0.14 0.8920 a. Interpret the estimated coefficients for Education and Experience. b. Predict the hourly wage rate for a 30-year-old worker with four years of higher education and three years of experience.arrow_forward
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