Precalculus (MindTap Course List)
10th Edition
ISBN: 9781337271073
Author: Ron Larson
Publisher: Cengage Learning
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Concept explainers
Question
Chapter 6.CM, Problem 6CM
To determine
To graph:
The function
Expert Solution & Answer
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Check out a sample textbook solutionStudents have asked these similar questions
Each of Exercises 81–84 shows the graphs of the first and second
derivatives of a function y = f(x). Copy the picture and add to it a
sketch of the approximate graph of f, given that the graph passes
through the point P.
In Exercises 11–18, find the slope of the function’s graph at the given point. Then find an equation for the line tangent to the graph there.
11. ƒ(x) = x2 + 1, (2, 5) 12. ƒ(x) = x - 2x2, (1, -1)
13. g(x) = x/(x - 2) , (3, 3) 14. 8/ x2 , (2, 2)
15. h(t) = t3, (2, 8) 16. h(t) = t3 + 3t, (1, 4)
17. ƒ(x) = sqrt(x), (4, 2) 18. ƒ(x) = sqrt(x + 1), (8,3).
In the section opener, we saw that
80x – 8000
f(x)
30 s xs 100
110
models the government tax revenue, f(x), in tens of billions
of dollars, as a function of the tax rate percentage, x. Use this
function to solve Exercises 55–58. Round to the nearest ten
billion dollars.
55. Find and interpret f(30). Identify the solution as a point
on the graph of the function in Figure 6.4 on page 439.
56. Find and interpret f(70). Identify the solution as a point
on the graph of the function in Figure 6.4 on page 439.
57. Rewrite the function by using long division to perform
(80x - 8000) - (x - 110).
Then use this new form of the function to find f(30). Do
you obtain the same answer as you did in Exercise 55?
Which form of the function do you find easier to use?
58. Rewrite the function by using long division to perform
(80x – 8000) - (x – 110).
Chapter 6 Solutions
Precalculus (MindTap Course List)
Ch. 6.1 - Checkpoint For the triangle shown, A=30, B=45, and...Ch. 6.1 - Prob. 2CPCh. 6.1 - Prob. 3CPCh. 6.1 - Prob. 4CPCh. 6.1 - Prob. 5CPCh. 6.1 - Prob. 6CPCh. 6.1 - Prob. 7CPCh. 6.1 - Prob. 1ECh. 6.1 - Prob. 2ECh. 6.1 - Prob. 3E
Ch. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Prob. 7ECh. 6.1 - Using the Law of Sines In Exercises 5-22, use the...Ch. 6.1 - Prob. 9ECh. 6.1 - Prob. 10ECh. 6.1 - Prob. 11ECh. 6.1 - Prob. 12ECh. 6.1 - Prob. 13ECh. 6.1 - Using the Law of Sines In Exercises 5-22, use the...Ch. 6.1 - Prob. 15ECh. 6.1 - Prob. 16ECh. 6.1 - Using the Law of Sines In Exercises 5-22, use the...Ch. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - Using the Law of Sines In Exercises 5-22, use the...Ch. 6.1 - Prob. 22ECh. 6.1 - Prob. 23ECh. 6.1 - Prob. 24ECh. 6.1 - Prob. 25ECh. 6.1 - Using the Law of Sines In Exercises 23-32, use the...Ch. 6.1 - Using the Law of Sines In Exercises 23-32, use the...Ch. 6.1 - Using the Law of Sines In Exercises 23-32, use the...Ch. 6.1 - Using the Law of Sines In Exercises 23-32, use the...Ch. 6.1 - Prob. 30ECh. 6.1 - Prob. 31ECh. 6.1 - Prob. 32ECh. 6.1 - Prob. 33ECh. 6.1 - Prob. 34ECh. 6.1 - Using the Law of Sines In Exercises 33-36, find...Ch. 6.1 - Prob. 36ECh. 6.1 - Prob. 37ECh. 6.1 - Prob. 38ECh. 6.1 - Prob. 39ECh. 6.1 - Finding the Area of a Triangle In Exercises 37-44,...Ch. 6.1 - Prob. 41ECh. 6.1 - Finding the Area of a Triangle In Exercises 37-44,...Ch. 6.1 - Prob. 43ECh. 6.1 - Prob. 44ECh. 6.1 - Prob. 45ECh. 6.1 - Distance A boat is travelling due east parallel to...Ch. 6.1 - Environment Science The bearing from the Pine Knob...Ch. 6.1 - Prob. 48ECh. 6.1 - Angle of Elevation A 10-meter utility pole casts a...Ch. 6.1 - Prob. 50ECh. 6.1 - Prob. 51ECh. 6.1 - Prob. 52ECh. 6.1 - Distance Air traffic controllers continuously...Ch. 6.1 - Prob. 54ECh. 6.1 - Prob. 55ECh. 6.1 - Prob. 56ECh. 6.1 - Prob. 57ECh. 6.1 - Prob. 58ECh. 6.1 - Error Analysis Describe the error. The area of the...Ch. 6.1 - Prob. 60ECh. 6.1 - Prob. 61ECh. 6.1 - Prob. 62ECh. 6.2 - Find the three angles of the triangle whose sides...Ch. 6.2 - Given A=80, b=16 meters, and c=12 meters, find the...Ch. 6.2 - Prob. 3CPCh. 6.2 - Prob. 4CPCh. 6.2 - Prob. 5CPCh. 6.2 - Prob. 1ECh. 6.2 - Prob. 2ECh. 6.2 - Prob. 3ECh. 6.2 - Prob. 4ECh. 6.2 - Prob. 5ECh. 6.2 - Using the Law of Cosines In exercises 5-24, use...Ch. 6.2 - Prob. 7ECh. 6.2 - Prob. 8ECh. 6.2 - Prob. 9ECh. 6.2 - Prob. 10ECh. 6.2 - Prob. 11ECh. 6.2 - Using the Law of Cosines In Exercises 5-24, use...Ch. 6.2 - Using the Law of Cosines In Exercises 5-24, use...Ch. 6.2 - Prob. 14ECh. 6.2 - Using the Law of Cosines In Exercises 5-24, use...Ch. 6.2 - Prob. 16ECh. 6.2 - Prob. 17ECh. 6.2 - Prob. 18ECh. 6.2 - Prob. 19ECh. 6.2 - Prob. 20ECh. 6.2 - Prob. 21ECh. 6.2 - Using the Law of Cosines In exercises 5-24, use...Ch. 6.2 - Using the Law of Cosines In exercises 5-24, use...Ch. 6.2 - Prob. 24ECh. 6.2 - Prob. 25ECh. 6.2 - Prob. 26ECh. 6.2 - Finding Measures in a Parallelogram In Exercises...Ch. 6.2 - Prob. 28ECh. 6.2 - Prob. 29ECh. 6.2 - Finding Measures in a Parallelogram In Exercises...Ch. 6.2 - Prob. 31ECh. 6.2 - Prob. 32ECh. 6.2 - Solving a Triangle In Exercises 31-36, determine...Ch. 6.2 - Prob. 34ECh. 6.2 - Solving a Triangle In Exercises 31-36, determine...Ch. 6.2 - Prob. 36ECh. 6.2 - Prob. 37ECh. 6.2 - Prob. 38ECh. 6.2 - Prob. 39ECh. 6.2 - Prob. 40ECh. 6.2 - Prob. 41ECh. 6.2 - Prob. 42ECh. 6.2 - Prob. 43ECh. 6.2 - Using Herons Area Formula In Exercises 37-44, use...Ch. 6.2 - Prob. 45ECh. 6.2 - Streetlight Design Determine the angle in the...Ch. 6.2 - Prob. 47ECh. 6.2 - Prob. 48ECh. 6.2 - Length A 100-foot vertical tower is built on the...Ch. 6.2 - Navigation On a map, Minneapolis is 165...Ch. 6.2 - Prob. 51ECh. 6.2 - Air Navigation A plane flies 810 miles from...Ch. 6.2 - Surveying A triangular parcel of land has 115...Ch. 6.2 - Prob. 54ECh. 6.2 - Distance Two ships leave a port 9 A.M. One travels...Ch. 6.2 - Mechanical Engineering An engine has a seven-inch...Ch. 6.2 - Prob. 57ECh. 6.2 - Geometry A parking lot has the shape of a...Ch. 6.2 - Prob. 59ECh. 6.2 - Prob. 60ECh. 6.2 - Prob. 61ECh. 6.2 - True or False? In Exercises 61 and 62, determine...Ch. 6.2 - Prob. 63ECh. 6.2 - Prob. 64ECh. 6.2 - Prob. 65ECh. 6.2 - Prob. 66ECh. 6.2 - Prob. 67ECh. 6.3 - Prob. 1CPCh. 6.3 - Prob. 2CPCh. 6.3 - Prob. 3CPCh. 6.3 - Prob. 4CPCh. 6.3 - Prob. 5CPCh. 6.3 - Prob. 6CPCh. 6.3 - Prob. 7CPCh. 6.3 - Prob. 8CPCh. 6.3 - Prob. 9CPCh. 6.3 - Prob. 10CPCh. 6.3 - Prob. 11CPCh. 6.3 - Prob. 1ECh. 6.3 - Prob. 2ECh. 6.3 - Prob. 3ECh. 6.3 - Prob. 4ECh. 6.3 - Prob. 5ECh. 6.3 - Prob. 6ECh. 6.3 - Fill in the blanks. The two basic vector...Ch. 6.3 - Prob. 8ECh. 6.3 - Prob. 9ECh. 6.3 - Prob. 10ECh. 6.3 - Prob. 11ECh. 6.3 - Prob. 12ECh. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 6.3 - Prob. 15ECh. 6.3 - Prob. 16ECh. 6.3 - Prob. 17ECh. 6.3 - Prob. 18ECh. 6.3 - Prob. 19ECh. 6.3 - Prob. 20ECh. 6.3 - Prob. 21ECh. 6.3 - Prob. 22ECh. 6.3 - Prob. 23ECh. 6.3 - Prob. 24ECh. 6.3 - Prob. 25ECh. 6.3 - Prob. 26ECh. 6.3 - Prob. 27ECh. 6.3 - Prob. 28ECh. 6.3 - Prob. 29ECh. 6.3 - Prob. 30ECh. 6.3 - Prob. 31ECh. 6.3 - Prob. 32ECh. 6.3 - Prob. 33ECh. 6.3 - Prob. 34ECh. 6.3 - Prob. 35ECh. 6.3 - Prob. 36ECh. 6.3 - Finding the Magnitude of a Scalar Multiple In...Ch. 6.3 - Prob. 38ECh. 6.3 - Prob. 39ECh. 6.3 - Prob. 40ECh. 6.3 - Prob. 41ECh. 6.3 - Prob. 42ECh. 6.3 - Prob. 43ECh. 6.3 - Prob. 44ECh. 6.3 - Prob. 45ECh. 6.3 - Prob. 46ECh. 6.3 - Prob. 47ECh. 6.3 - Prob. 48ECh. 6.3 - Prob. 49ECh. 6.3 - Prob. 50ECh. 6.3 - Prob. 51ECh. 6.3 - Prob. 52ECh. 6.3 - Prob. 53ECh. 6.3 - Prob. 54ECh. 6.3 - Prob. 55ECh. 6.3 - Prob. 56ECh. 6.3 - Prob. 57ECh. 6.3 - Prob. 58ECh. 6.3 - Prob. 59ECh. 6.3 - Prob. 60ECh. 6.3 - Prob. 61ECh. 6.3 - Prob. 62ECh. 6.3 - Prob. 63ECh. 6.3 - Prob. 64ECh. 6.3 - Prob. 65ECh. 6.3 - Prob. 66ECh. 6.3 - Prob. 67ECh. 6.3 - Prob. 68ECh. 6.3 - Prob. 69ECh. 6.3 - Prob. 70ECh. 6.3 - Prob. 71ECh. 6.3 - Prob. 72ECh. 6.3 - Prob. 73ECh. 6.3 - Prob. 74ECh. 6.3 - Prob. 75ECh. 6.3 - Prob. 76ECh. 6.3 - Prob. 77ECh. 6.3 - Velocity Pitcher Aroldis Chapman threw a pitch...Ch. 6.3 - Prob. 79ECh. 6.3 - Prob. 80ECh. 6.3 - Prob. 81ECh. 6.3 - Prob. 82ECh. 6.3 - Cable Tension The cranes shown in the figure are...Ch. 6.3 - Prob. 84ECh. 6.3 - Prob. 85ECh. 6.3 - Prob. 86ECh. 6.3 - Prob. 87ECh. 6.3 - Prob. 88ECh. 6.3 - Inclined Ramp In Exercises 89-92, a force of F...Ch. 6.3 - Prob. 90ECh. 6.3 - Prob. 91ECh. 6.3 - Prob. 92ECh. 6.3 - Prob. 93ECh. 6.3 - Prob. 94ECh. 6.3 - Prob. 95ECh. 6.3 - Prob. 96ECh. 6.3 - Prob. 97ECh. 6.3 - Prob. 98ECh. 6.3 - Prob. 99ECh. 6.3 - Prob. 100ECh. 6.3 - Prob. 101ECh. 6.3 - Graphing Reasoning Consider two forces F1=10,0 and...Ch. 6.3 - Prob. 106ECh. 6.3 - Prob. 107ECh. 6.3 - Prob. 108ECh. 6.4 - Prob. 1CPCh. 6.4 - Prob. 2CPCh. 6.4 - Prob. 3CPCh. 6.4 - Prob. 4CPCh. 6.4 - Prob. 5CPCh. 6.4 - Prob. 6CPCh. 6.4 - Prob. 7CPCh. 6.4 - Prob. 1ECh. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - Prob. 4ECh. 6.4 - Prob. 5ECh. 6.4 - Prob. 6ECh. 6.4 - Prob. 7ECh. 6.4 - Prob. 8ECh. 6.4 - Prob. 9ECh. 6.4 - Prob. 10ECh. 6.4 - Prob. 11ECh. 6.4 - Prob. 12ECh. 6.4 - Prob. 13ECh. 6.4 - Prob. 14ECh. 6.4 - Using Properties of the Dot Product In Exercises...Ch. 6.4 - Using Properties of the Dot Product In Exercises...Ch. 6.4 - Prob. 17ECh. 6.4 - Prob. 18ECh. 6.4 - Prob. 19ECh. 6.4 - Prob. 20ECh. 6.4 - Prob. 21ECh. 6.4 - Prob. 22ECh. 6.4 - Prob. 23ECh. 6.4 - Prob. 24ECh. 6.4 - Prob. 25ECh. 6.4 - Prob. 26ECh. 6.4 - Prob. 27ECh. 6.4 - Prob. 28ECh. 6.4 - Prob. 29ECh. 6.4 - Prob. 30ECh. 6.4 - Prob. 31ECh. 6.4 - Prob. 32ECh. 6.4 - Prob. 33ECh. 6.4 - Prob. 34ECh. 6.4 - Prob. 35ECh. 6.4 - Prob. 36ECh. 6.4 - Prob. 37ECh. 6.4 - Prob. 38ECh. 6.4 - Prob. 39ECh. 6.4 - Prob. 40ECh. 6.4 - Prob. 41ECh. 6.4 - Prob. 42ECh. 6.4 - Prob. 43ECh. 6.4 - Prob. 44ECh. 6.4 - Prob. 45ECh. 6.4 - Prob. 46ECh. 6.4 - Prob. 47ECh. 6.4 - Prob. 48ECh. 6.4 - Prob. 49ECh. 6.4 - Prob. 50ECh. 6.4 - Prob. 51ECh. 6.4 - Prob. 52ECh. 6.4 - Prob. 53ECh. 6.4 - Prob. 54ECh. 6.4 - Prob. 55ECh. 6.4 - Prob. 56ECh. 6.4 - Prob. 57ECh. 6.4 - Prob. 58ECh. 6.4 - Prob. 59ECh. 6.4 - Prob. 60ECh. 6.4 - Prob. 61ECh. 6.4 - Prob. 62ECh. 6.4 - Prob. 63ECh. 6.4 - Prob. 64ECh. 6.4 - Prob. 65ECh. 6.4 - Prob. 66ECh. 6.4 - Prob. 67ECh. 6.4 - Prob. 68ECh. 6.4 - Prob. 69ECh. 6.4 - Prob. 70ECh. 6.4 - Prob. 71ECh. 6.4 - Revenue The vector u=3140,2750 gives the numbers...Ch. 6.4 - Prob. 73ECh. 6.4 - Prob. 74ECh. 6.4 - Prob. 75ECh. 6.4 - Prob. 76ECh. 6.4 - Prob. 77ECh. 6.4 - Prob. 78ECh. 6.4 - Prob. 79ECh. 6.4 - Prob. 80ECh. 6.4 - Prob. 81ECh. 6.4 - Prob. 82ECh. 6.4 - Prob. 83ECh. 6.4 - Prob. 84ECh. 6.4 - Prob. 85ECh. 6.4 - Prob. 86ECh. 6.4 - Prob. 87ECh. 6.4 - Prob. 88ECh. 6.4 - Prob. 89ECh. 6.4 - Prob. 90ECh. 6.4 - Prob. 91ECh. 6.4 - Prob. 92ECh. 6.4 - Prob. 93ECh. 6.5 - Prob. 1CPCh. 6.5 - Prob. 2CPCh. 6.5 - Prob. 3CPCh. 6.5 - Prob. 4CPCh. 6.5 - Prob. 5CPCh. 6.5 - Prob. 6CPCh. 6.5 - Prob. 1ECh. 6.5 - Prob. 2ECh. 6.5 - Prob. 3ECh. 6.5 - Prob. 4ECh. 6.5 - Prob. 5ECh. 6.5 - Prob. 6ECh. 6.5 - Prob. 7ECh. 6.5 - Prob. 8ECh. 6.5 - Prob. 9ECh. 6.5 - Prob. 10ECh. 6.5 - Prob. 11ECh. 6.5 - Skills and Applications Matching In Exercises...Ch. 6.5 - Prob. 13ECh. 6.5 - Prob. 14ECh. 6.5 - Prob. 15ECh. 6.5 - Prob. 16ECh. 6.5 - Prob. 17ECh. 6.5 - Prob. 18ECh. 6.5 - Prob. 19ECh. 6.5 - Prob. 20ECh. 6.5 - Prob. 21ECh. 6.5 - Prob. 22ECh. 6.5 - Prob. 23ECh. 6.5 - Prob. 24ECh. 6.5 - Prob. 25ECh. 6.5 - Prob. 26ECh. 6.5 - Prob. 27ECh. 6.5 - Prob. 28ECh. 6.5 - Prob. 29ECh. 6.5 - Prob. 30ECh. 6.5 - Prob. 31ECh. 6.5 - Prob. 32ECh. 6.5 - Prob. 33ECh. 6.5 - Prob. 34ECh. 6.5 - Prob. 35ECh. 6.5 - Prob. 36ECh. 6.5 - Prob. 37ECh. 6.5 - Prob. 38ECh. 6.5 - Prob. 39ECh. 6.5 - Prob. 40ECh. 6.5 - Prob. 41ECh. 6.5 - Prob. 42ECh. 6.5 - Prob. 43ECh. 6.5 - Prob. 44ECh. 6.5 - Prob. 45ECh. 6.5 - Prob. 46ECh. 6.5 - Prob. 47ECh. 6.5 - Prob. 48ECh. 6.5 - Prob. 49ECh. 6.5 - Prob. 50ECh. 6.5 - Prob. 51ECh. 6.5 - Prob. 52ECh. 6.5 - Prob. 53ECh. 6.5 - Prob. 54ECh. 6.5 - Prob. 55ECh. 6.5 - Prob. 56ECh. 6.5 - Prob. 57ECh. 6.6 - Prob. 1CPCh. 6.6 - Prob. 2CPCh. 6.6 - Prob. 3CPCh. 6.6 - Prob. 4CPCh. 6.6 - Prob. 5CPCh. 6.6 - Prob. 6CPCh. 6.6 - Prob. 7CPCh. 6.6 - Prob. 8CPCh. 6.6 - Prob. 9CPCh. 6.6 - Prob. 1ECh. 6.6 - Prob. 2ECh. 6.6 - Prob. 3ECh. 6.6 - Vocabulary: Fill in the blanks. Successive n th...Ch. 6.6 - Prob. 5ECh. 6.6 - Prob. 6ECh. 6.6 - Prob. 7ECh. 6.6 - Prob. 8ECh. 6.6 - Prob. 9ECh. 6.6 - Prob. 10ECh. 6.6 - Prob. 11ECh. 6.6 - Prob. 12ECh. 6.6 - Prob. 13ECh. 6.6 - Prob. 14ECh. 6.6 - Prob. 15ECh. 6.6 - Prob. 16ECh. 6.6 - Prob. 17ECh. 6.6 - Prob. 18ECh. 6.6 - Prob. 19ECh. 6.6 - Prob. 20ECh. 6.6 - Prob. 21ECh. 6.6 - Prob. 22ECh. 6.6 - Prob. 23ECh. 6.6 - Prob. 24ECh. 6.6 - Prob. 25ECh. 6.6 - Prob. 26ECh. 6.6 - Prob. 27ECh. 6.6 - Prob. 28ECh. 6.6 - Prob. 29ECh. 6.6 - Prob. 30ECh. 6.6 - Prob. 31ECh. 6.6 - Prob. 32ECh. 6.6 - Prob. 33ECh. 6.6 - Prob. 34ECh. 6.6 - Prob. 35ECh. 6.6 - Prob. 36ECh. 6.6 - Prob. 37ECh. 6.6 - Prob. 38ECh. 6.6 - Prob. 39ECh. 6.6 - Prob. 40ECh. 6.6 - Prob. 41ECh. 6.6 - Prob. 42ECh. 6.6 - Prob. 43ECh. 6.6 - Prob. 44ECh. 6.6 - Prob. 45ECh. 6.6 - Prob. 46ECh. 6.6 - Prob. 47ECh. 6.6 - Prob. 48ECh. 6.6 - Prob. 49ECh. 6.6 - Prob. 50ECh. 6.6 - Prob. 51ECh. 6.6 - Prob. 52ECh. 6.6 - Prob. 53ECh. 6.6 - Prob. 54ECh. 6.6 - Prob. 55ECh. 6.6 - Prob. 56ECh. 6.6 - Prob. 57ECh. 6.6 - Prob. 58ECh. 6.6 - Prob. 59ECh. 6.6 - Prob. 60ECh. 6.6 - Prob. 61ECh. 6.6 - Prob. 62ECh. 6.6 - Prob. 63ECh. 6.6 - Prob. 64ECh. 6.6 - Prob. 65ECh. 6.6 - Prob. 66ECh. 6.6 - Prob. 67ECh. 6.6 - Prob. 68ECh. 6.6 - Prob. 69ECh. 6.6 - Prob. 70ECh. 6.6 - Prob. 71ECh. 6.6 - Prob. 72ECh. 6.6 - Prob. 73ECh. 6.6 - Prob. 74ECh. 6.6 - Prob. 75ECh. 6.6 - Prob. 76ECh. 6.6 - Prob. 77ECh. 6.6 - Prob. 78ECh. 6.6 - Prob. 79ECh. 6.6 - Prob. 80ECh. 6.6 - Prob. 81ECh. 6.6 - Skills and Applications Finding the n th Roots of...Ch. 6.6 - Prob. 83ECh. 6.6 - Prob. 84ECh. 6.6 - Prob. 85ECh. 6.6 - Prob. 86ECh. 6.6 - Prob. 87ECh. 6.6 - Prob. 88ECh. 6.6 - Skills and Applications Solving an Equation In...Ch. 6.6 - Prob. 90ECh. 6.6 - Skills and Applications Solving an Equation In...Ch. 6.6 - Prob. 92ECh. 6.6 - Prob. 93ECh. 6.6 - Prob. 94ECh. 6.6 - Skills and Applications Ohms Law Ohms law for...Ch. 6.6 - Prob. 96ECh. 6.6 - Prob. 97ECh. 6.6 - Prob. 98ECh. 6.6 - Prob. 99ECh. 6.6 - Prob. 100ECh. 6.6 - Prob. 101ECh. 6.CR - 6.1 Using the Law of Sines. In Exercises 1 12,...Ch. 6.CR - Prob. 2CRCh. 6.CR - Prob. 3CRCh. 6.CR - Prob. 4CRCh. 6.CR - Prob. 5CRCh. 6.CR - Prob. 6CRCh. 6.CR - 6.1 Using the Law of Sines. In Exercises 1 12,...Ch. 6.CR - Prob. 8CRCh. 6.CR - Prob. 9CRCh. 6.CR - Prob. 10CRCh. 6.CR - 6.1 Using the Law of Sines. In Exercises 1 12,...Ch. 6.CR - Prob. 12CRCh. 6.CR - Prob. 13CRCh. 6.CR - Prob. 14CRCh. 6.CR - Prob. 15CRCh. 6.CR - Prob. 16CRCh. 6.CR - Height From a certain distance, the angle of...Ch. 6.CR - Prob. 18CRCh. 6.CR - 6.2 Using the Law of Cosines. In Exercises 19 26,...Ch. 6.CR - Prob. 20CRCh. 6.CR - 6.2 Using the Law of Cosines. In Exercises 19 26,...Ch. 6.CR - Prob. 22CRCh. 6.CR - Prob. 23CRCh. 6.CR - Prob. 24CRCh. 6.CR - 6.2 Using the Law of Cosines. In Exercises 19 26,...Ch. 6.CR - 6.2 Using the Law of Cosines. In Exercises 19 26,...Ch. 6.CR - Prob. 27CRCh. 6.CR - Prob. 28CRCh. 6.CR - Prob. 29CRCh. 6.CR - Prob. 30CRCh. 6.CR - Geometry The lengths of the diagonals of a...Ch. 6.CR - Prob. 32CRCh. 6.CR - Prob. 33CRCh. 6.CR - Prob. 34CRCh. 6.CR - Prob. 35CRCh. 6.CR - Prob. 36CRCh. 6.CR - Prob. 37CRCh. 6.CR - Prob. 38CRCh. 6.CR - Prob. 39CRCh. 6.CR - Prob. 40CRCh. 6.CR - Prob. 41CRCh. 6.CR - Prob. 42CRCh. 6.CR - Prob. 43CRCh. 6.CR - Prob. 44CRCh. 6.CR - Prob. 45CRCh. 6.CR - Prob. 46CRCh. 6.CR - Prob. 47CRCh. 6.CR - Prob. 48CRCh. 6.CR - Prob. 49CRCh. 6.CR - Prob. 50CRCh. 6.CR - Prob. 51CRCh. 6.CR - Prob. 52CRCh. 6.CR - Prob. 53CRCh. 6.CR - Prob. 54CRCh. 6.CR - Prob. 55CRCh. 6.CR - Prob. 56CRCh. 6.CR - Prob. 57CRCh. 6.CR - Prob. 58CRCh. 6.CR - Prob. 59CRCh. 6.CR - Prob. 60CRCh. 6.CR - Prob. 61CRCh. 6.CR - Prob. 62CRCh. 6.CR - Prob. 63CRCh. 6.CR - Prob. 64CRCh. 6.CR - Prob. 65CRCh. 6.CR - Prob. 66CRCh. 6.CR - Prob. 67CRCh. 6.CR - Prob. 68CRCh. 6.CR - Prob. 69CRCh. 6.CR - Prob. 70CRCh. 6.CR - Prob. 71CRCh. 6.CR - Prob. 72CRCh. 6.CR - Prob. 73CRCh. 6.CR - Prob. 74CRCh. 6.CR - Prob. 75CRCh. 6.CR - Prob. 76CRCh. 6.CR - Prob. 77CRCh. 6.CR - Prob. 78CRCh. 6.CR - Prob. 79CRCh. 6.CR - Prob. 80CRCh. 6.CR - Prob. 81CRCh. 6.CR - Prob. 82CRCh. 6.CR - Prob. 83CRCh. 6.CR - Prob. 84CRCh. 6.CR - Prob. 85CRCh. 6.CR - Prob. 86CRCh. 6.CR - Prob. 87CRCh. 6.CR - Prob. 88CRCh. 6.CR - Prob. 89CRCh. 6.CR - Prob. 90CRCh. 6.CR - Prob. 91CRCh. 6.CR - Prob. 92CRCh. 6.CR - Prob. 93CRCh. 6.CR - Prob. 94CRCh. 6.CR - Prob. 95CRCh. 6.CR - Prob. 96CRCh. 6.CR - Prob. 97CRCh. 6.CR - Prob. 98CRCh. 6.CR - Prob. 99CRCh. 6.CR - Prob. 100CRCh. 6.CR - Prob. 101CRCh. 6.CR - Prob. 102CRCh. 6.CR - Prob. 103CRCh. 6.CR - Prob. 104CRCh. 6.CR - Prob. 105CRCh. 6.CR - Prob. 106CRCh. 6.CR - Prob. 107CRCh. 6.CR - Prob. 108CRCh. 6.CR - Prob. 109CRCh. 6.CR - Prob. 110CRCh. 6.CR - Prob. 111CRCh. 6.CR - Prob. 112CRCh. 6.CR - Prob. 113CRCh. 6.CR - Prob. 114CRCh. 6.CR - Prob. 115CRCh. 6.CR - Prob. 116CRCh. 6.CR - Prob. 117CRCh. 6.CR - Prob. 118CRCh. 6.CR - Prob. 119CRCh. 6.CR - Prob. 120CRCh. 6.CR - Prob. 121CRCh. 6.CR - Prob. 122CRCh. 6.CR - Finding a Power of a Complex Number In Exercises...Ch. 6.CR - Prob. 124CRCh. 6.CR - Prob. 125CRCh. 6.CR - Prob. 126CRCh. 6.CR - Prob. 127CRCh. 6.CR - Prob. 128CRCh. 6.CR - Prob. 129CRCh. 6.CR - Prob. 130CRCh. 6.CR - Prob. 131CRCh. 6.CR - Prob. 132CRCh. 6.CR - Prob. 133CRCh. 6.CR - Prob. 134CRCh. 6.CR - Prob. 135CRCh. 6.CT - Prob. 1CTCh. 6.CT - In Exercises 1-6, determine whether the Law of...Ch. 6.CT - Prob. 3CTCh. 6.CT - Prob. 4CTCh. 6.CT - Prob. 5CTCh. 6.CT - Prob. 6CTCh. 6.CT - Prob. 7CTCh. 6.CT - An airplane files 370 miles from point A to point...Ch. 6.CT - Prob. 9CTCh. 6.CT - Prob. 10CTCh. 6.CT - Prob. 11CTCh. 6.CT - Prob. 12CTCh. 6.CT - Prob. 13CTCh. 6.CT - Prob. 14CTCh. 6.CT - Prob. 15CTCh. 6.CT - Prob. 16CTCh. 6.CT - Prob. 17CTCh. 6.CT - Prob. 18CTCh. 6.CT - Prob. 19CTCh. 6.CT - Prob. 20CTCh. 6.CT - Prob. 21CTCh. 6.CT - Prob. 22CTCh. 6.CT - Prob. 23CTCh. 6.CT - Prob. 24CTCh. 6.CT - Prob. 25CTCh. 6.CT - Prob. 26CTCh. 6.CM - Consider the angle =120. Sketch the angle in...Ch. 6.CM - Prob. 2CMCh. 6.CM - Prob. 3CMCh. 6.CM - Prob. 4CMCh. 6.CM - Prob. 5CMCh. 6.CM - Prob. 6CMCh. 6.CM - Prob. 7CMCh. 6.CM - Prob. 8CMCh. 6.CM - Prob. 9CMCh. 6.CM - Prob. 10CMCh. 6.CM - Prob. 11CMCh. 6.CM - Prob. 12CMCh. 6.CM - Prob. 13CMCh. 6.CM - Prob. 14CMCh. 6.CM - Prob. 15CMCh. 6.CM - Prob. 16CMCh. 6.CM - Prob. 17CMCh. 6.CM - Prob. 18CMCh. 6.CM - Prob. 19CMCh. 6.CM - Prob. 20CMCh. 6.CM - Prob. 21CMCh. 6.CM - Prob. 22CMCh. 6.CM - Prob. 23CMCh. 6.CM - Prob. 24CMCh. 6.CM - Prob. 25CMCh. 6.CM - Prob. 26CMCh. 6.CM - Prob. 27CMCh. 6.CM - Prob. 28CMCh. 6.CM - Prob. 29CMCh. 6.CM - Prob. 30CMCh. 6.CM - Prob. 31CMCh. 6.CM - Prob. 32CMCh. 6.CM - Prob. 33CMCh. 6.CM - Prob. 34CMCh. 6.CM - Prob. 35CMCh. 6.CM - Prob. 36CMCh. 6.CM - Prob. 37CMCh. 6.CM - Prob. 38CMCh. 6.CM - Prob. 39CMCh. 6.CM - Prob. 40CMCh. 6.CM - Prob. 41CMCh. 6.CM - Prob. 42CMCh. 6.CM - Prob. 43CMCh. 6.CM - Prob. 44CMCh. 6.CM - Prob. 45CMCh. 6.CM - Prob. 46CMCh. 6.CM - Prob. 47CMCh. 6.CM - Prob. 48CMCh. 6.PS - Distance. In the figure, a beam of light is...Ch. 6.PS - Correcting a Course. A triathlete sets a course to...Ch. 6.PS - Locating Lost Hikers. A group of hikers is lost in...Ch. 6.PS - Seeding a Courtyard. You are seeding a triangular...Ch. 6.PS - Prob. 5PSCh. 6.PS - Writing a Vector in Terms of Other Vectors Write...Ch. 6.PS - Prob. 7PSCh. 6.PS - Prob. 8PSCh. 6.PS - Prob. 9PSCh. 6.PS - Prob. 10PSCh. 6.PS - Prob. 11PSCh. 6.PS - Prob. 12PS
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- In Exercises 59–62, sketch the graph of the given function. What is the period of the function?arrow_forwardFind the natural domain and graph the functions in Exercises 15–20.15. ƒ(x) = 5 - 2x 16. ƒ(x) = 1 - 2x - x217. g(x) = sqrt( | x | ) 18. g(x) = sqrt(-x)19. F(t) = t/ | t | 20. G(t) = 1/ | t |arrow_forwardIn Exercises 57–62, find the zeros of ƒ and sketch its graph by plotting points. Use symmetry and increase/decrease information where appropriate. 57. f(x) — х? — 4 58. f(x) = 2x2 – 4 %3D %3D 59. f(x) — х3 — 4х 60. f(x) — х3 61. f(x) =2 – x3 62. f(x) = (x – A)¾i+ate Windarrow_forward
- In Exercises 63–65, find the domain and range of each composite function. Then graph the composition of the two functions on separate screens. Do the graphs make sense in each case? Give reasons for your answers. Comment on any differences you see. 63. a. y = tan-1 (tan x) b. y = tan (tan-1 x) 64. a. y = sin-1 (sin x) b. y = sin (sin-1 x) 65. a. y = cos-1 (cos x) b. y = cos (cos-1 x)arrow_forwardIn Exercises 5–10, find an appropriate graphing software viewing window for the given function and use it to display its graph. The win-dow should give a picture of the overall behavior of the function. There is more than one choice, but incorrect choices can miss impor-tant aspects of the function. 5. ƒ(x) = x4 - 4x3 + 15 6. ƒ(x) = x5 - 5x4 + 10 7. ƒ(x) = x sqrt(9 - x2) 8. ƒ(x) = x3 /3 - x2/ 2 - 2x + 1 9. ƒ(x) = 4x3 - x4 10. ƒ(x) = x2(6 - x3)arrow_forwardWhich of the functions graphed in Exercises 1–6 are one-to-one, and which are not?arrow_forward
- In Exercises 69–76, graph each function, not by plotting points, but by starting with the graph of one of the standard functions presented in Figures 1.14–1.17 and applying an appropriate transformation. 69. y = -sqrt(2x + 1) 70. y =sqrt(1-x/2) 71. y = (x - 1)3 + 2 72. y = (1 - x)3 + 2 73. y = 1 /2x - 1 74. y=(2/x2)+1 72. y = (1 - x)3 + 2 75. y = -(x )^(1/3) 76. y = (-2x)^(2/3)arrow_forwardIn Exercises 5–8, determine whether the graph of the function is symmetricabout the y-axis, the origin, or neither.5. y = x1/5 6. y = x2/57. y = x2 - 2x - 1 8. y = e-x2arrow_forwardExercises 63–86: Use transformations to sketch a graph of f. 63. f(x) = x² – 3 64. f(x) = -x² 65. f(x) = (x = 5)² + 3 66. f(x) = (x + 4)° 67. flx) = -Vx 68. f(x) = 2(x = 1F + 1 69. f(x) = -x² + 4 70. f(x) = V=x 71. f(x) = |x| – 4 73. f(x) = Vx – 3 + 2 74. f(x) = |x + 2| – 3 72. flx) = Vx + 1 76. flx) = |x| 78. f(x) = 2Vx – 2 - 1 75. f(x) = |2x| 77. f(x) = 1 – Vx 79. f(x) = -Vī - x 81. f(x) = V-(x + 1) 80. f(x) = V-x – 1 82. f(x) = 2 + V-(x – 3) 83. f(x) = (x = 1) 84. f(x) = (x + 2) 85. f(x) = -x' 86. f(x) = (-x)' + 1arrow_forward
- In Exercises 37–40, graph the function to see whether it appears to have a continuous extension to the given point a. If it does, use Trace and Zoom to find a good candidate for the extended function's value at a. If the function does not appear to have a continuous extension, can it be extended to be continuous from the right or left? If so, what do you think the extended function's value should be? 37. f(x) a = 1 5 cos 0 38. g(0) а 3 п/2 40 27' 39. h(t) = (1 + 1)'", a = 0 40. k(x) a = 0 1 – 2.*1'arrow_forward5) Chapter 3.3 Find the second derivative of f and discuss the concavity of its graph. a. f (x) = -2z² b. f (2) = -2aarrow_forwardFor each of the equations in Exercises 59–62, y is defined as an implicit function of x. Solve for y, and use what you find to sketch a graph of the equation. 59. x² + y = 9 60. (x– 1)2 + (y + 2)² = 4 61. x? – 3y? = 16 62. 4y? — х? + 25 3 0arrow_forward
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