Precalculus: A Unit Circle Approach (3rd Edition)
3rd Edition
ISBN: 9780134433042
Author: J. S. Ratti, Marcus S. McWaters, Leslaw Skrzypek
Publisher: PEARSON
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Chapter 4, Problem 70RE
To determine
To find:
The function,
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3. We'd like to know the first time when the population reaches 7000 people. First, graph the
function from part (a) on your calculator or Desmos. In the same window, graph the line y =
7000. Notice that you will need to adjust your window so that you can see values as big as
7000! Investigate the intersection of the two graphs. (This video shows you how to find the
intersection on your calculator, or in Desmos just hover the cursor over the point.) At what
value t> 0 does the line intersect with your exponential function? Round your answer to two
decimal places. (You don't need to show work for this part.) (2 points)
Suppose the planet of Tattooine currently has a population of 6500 people and an annual growth rate of
0.35%. Use this information for all the problems below.
1. Find an exponential function f(t) that gives the population of Tattooine t years from now. (3
points)
A house was valued at $95,000 in the year 1988. The value appreciated to $170,000 by the year 2007.
A) If the value is growing exponentially, what was the annual growth rate between 1988 and 2007?
Round the growth rate to 4 decimal places.
r =
B) What is the correct answer to part A written in percentage form?
r = 3
%.
Chapter 4 Solutions
Precalculus: A Unit Circle Approach (3rd Edition)
Ch. 4.1 - A negative angle is formed by rotating the initial...Ch. 4.1 - An angle is in standard position if its vertex is...Ch. 4.1 - Prob. 3ECh. 4.1 - To convert degrees to radians, multiply degrees by...Ch. 4.1 - True or False. One radian is smaller than one...Ch. 4.1 - True or False. The circumference of a circle with...Ch. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - Draw each angle in standard position.
Ch. 4.1 - Draw each angle in standard position.
Ch. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Draw each angle in standard position.
Ch. 4.1 - Draw each angle in standard position.
Ch. 4.1 - Draw each angle in standard position.
Ch. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - Convert each angle to decimal degree notation....Ch. 4.1 - Convert each angle to DMS notation. Round your...Ch. 4.1 - Convert each angle to DMS notation. Round your...Ch. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - Convert each angle from degrees to radians....Ch. 4.1 - Convert each angle from degrees to radians....Ch. 4.1 - Convert each angle from degrees to radians....Ch. 4.1 - Convert each angle from degrees to radians....Ch. 4.1 - Prob. 33ECh. 4.1 - Convert each angle from degrees to radians....Ch. 4.1 - Prob. 35ECh. 4.1 - Prob. 36ECh. 4.1 - Convert each angle from radians to degrees.
Ch. 4.1 - Convert each angle from radians to degrees.
Ch. 4.1 - Convert each angle from radians to degrees.
Ch. 4.1 - Convert each angle from radians to degrees.
Ch. 4.1 - Prob. 41ECh. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - Prob. 45ECh. 4.1 - Convert each angle from degrees to radians. Round...Ch. 4.1 - Convert each angle from degrees to radians. Round...Ch. 4.1 - Convert each angle from degrees to radians. Round...Ch. 4.1 - Convert each angle from radians to degrees. Round...Ch. 4.1 - Convert each angle from radians to degrees. Round...Ch. 4.1 - Convert each angle from radians to degrees. Round...Ch. 4.1 - Convert each angle from radians to degrees. Round...Ch. 4.1 - Find the angle between 0 and radians that is...Ch. 4.1 - Find the angle between 0 and radians that is...Ch. 4.1 - Find the angle between 0 and radians that is...Ch. 4.1 - Find the angle between 0 and radians that is...Ch. 4.1 - Prob. 57ECh. 4.1 - Prob. 58ECh. 4.1 - Prob. 59ECh. 4.1 - Prob. 60ECh. 4.1 - Find the angle between and that is coterminal...Ch. 4.1 - Find the angle between and that is coterminal...Ch. 4.1 - Find the angle between and that is coterminal...Ch. 4.1 - Find the angle between and that is coterminal...Ch. 4.1 - Find the complement and the supplement of the...Ch. 4.1 - Prob. 66ECh. 4.1 - Prob. 67ECh. 4.1 - Prob. 68ECh. 4.1 - Prob. 69ECh. 4.1 - Prob. 70ECh. 4.1 - Use the following notations: = central angle of a...Ch. 4.1 - Use the following notations: = central angle of a...Ch. 4.1 - Use the following notations: = central angle of a...Ch. 4.1 - Prob. 74ECh. 4.1 - Use the following notations: = central angle of a...Ch. 4.1 - Prob. 76ECh. 4.1 - Prob. 77ECh. 4.1 - Prob. 78ECh. 4.1 - Use the following notations: = central angle of a...Ch. 4.1 - Use the following notations: = central angle of a...Ch. 4.1 - Prob. 81ECh. 4.1 - Prob. 82ECh. 4.1 - Prob. 83ECh. 4.1 - Prob. 84ECh. 4.1 - Use the following notations: = central angle of a...Ch. 4.1 - Prob. 86ECh. 4.1 - Prob. 87ECh. 4.1 - Prob. 88ECh. 4.1 - Use the following notations: = central angle of a...Ch. 4.1 - Prob. 90ECh. 4.1 - Prob. 91ECh. 4.1 - Nautical miles. A nautical mile is the length of...Ch. 4.1 - Prob. 93ECh. 4.1 - Prob. 94ECh. 4.1 - Diameter of a pizza. You are told that a slice of...Ch. 4.1 - Prob. 96ECh. 4.1 - Prob. 97ECh. 4.1 - Prob. 98ECh. 4.1 - Prob. 99ECh. 4.1 - Prob. 100ECh. 4.1 - Prob. 101ECh. 4.1 - Prob. 102ECh. 4.1 - Prob. 103ECh. 4.1 - Prob. 104ECh. 4.1 - Prob. 105ECh. 4.1 - Prob. 106ECh. 4.1 - The latitude of any location on Earth is the angle...Ch. 4.1 - Prob. 108ECh. 4.1 - Prob. 109ECh. 4.1 - Prob. 110ECh. 4.1 - Prob. 111ECh. 4.1 - Prob. 112ECh. 4.1 - Prob. 113ECh. 4.1 - Prob. 114ECh. 4.1 - Prob. 115ECh. 4.1 - Prob. 116ECh. 4.1 - Prob. 117ECh. 4.1 - Prob. 118ECh. 4.1 - Prob. 119ECh. 4.1 - Prob. 120ECh. 4.1 - Prob. 121ECh. 4.1 - Prob. 122ECh. 4.1 - Prob. 123ECh. 4.1 - Prob. 124ECh. 4.1 - Prob. 125ECh. 4.1 - Prob. 126ECh. 4.1 - Prob. 127ECh. 4.1 - Prob. 128ECh. 4.2 - A unit circle is a circle of radius centered at...Ch. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Determine whether the given point is on the unit...Ch. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Determine whether the given point is on the unit...Ch. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Find all numbers (if any) so that the given point...Ch. 4.2 - Find all numbers (if any) so that the given point...Ch. 4.2 - Find all numbers (if any) so that the given point...Ch. 4.2 - Find all numbers (if any) so that the given point...Ch. 4.2 - Prob. 19ECh. 4.2 - Find all numbers (if any) so that the given point...Ch. 4.2 - is the terminal point on the unit circle that...Ch. 4.2 - Prob. 22ECh. 4.2 - is the terminal point on the unit circle that...Ch. 4.2 - is the terminal point on the unit circle that...Ch. 4.2 - Prob. 25ECh. 4.2 - is the terminal point on the unit circle that...Ch. 4.2 - Let . Find the values of,, and .
Ch. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Prob. 30ECh. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - Find the values (if any) of the six trigonometric...Ch. 4.2 - Find the values (if any) of the six trigonometric...Ch. 4.2 - Prob. 35ECh. 4.2 - Find the values (if any) of the six trigonometric...Ch. 4.2 - Find the values (if any) of the six trigonometric...Ch. 4.2 - Prob. 38ECh. 4.2 - Find each trigonometric function value.
Ch. 4.2 - Find each trigonometric function value.
Ch. 4.2 - Find each trigonometric function value.
Ch. 4.2 - Find each trigonometric function value.
Ch. 4.2 - Find each trigonometric function value.
Ch. 4.2 - Find each trigonometric function value.
Ch. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - Prob. 50ECh. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - Prob. 54ECh. 4.2 - Prob. 55ECh. 4.2 - Prob. 56ECh. 4.2 - Prob. 57ECh. 4.2 - Prob. 58ECh. 4.2 - Prob. 59ECh. 4.2 - Prob. 60ECh. 4.2 - Prob. 61ECh. 4.2 - Prob. 62ECh. 4.2 - Prob. 63ECh. 4.2 - Prob. 64ECh. 4.2 - Prob. 65ECh. 4.2 - Prob. 66ECh. 4.2 - Prob. 67ECh. 4.2 - Prob. 68ECh. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Prob. 72ECh. 4.2 - Prob. 73ECh. 4.2 - Prob. 74ECh. 4.2 - Prob. 75ECh. 4.2 - Prob. 76ECh. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Prob. 80ECh. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Prob. 82ECh. 4.2 - Prob. 83ECh. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Prob. 86ECh. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Prob. 88ECh. 4.2 - Prob. 89ECh. 4.2 - Prob. 90ECh. 4.2 - Prob. 91ECh. 4.2 - Prob. 92ECh. 4.2 - Prob. 93ECh. 4.2 - Prob. 94ECh. 4.2 - Prob. 95ECh. 4.2 - Prob. 96ECh. 4.2 - Prob. 97ECh. 4.2 - Prob. 98ECh. 4.2 - Prob. 99ECh. 4.2 - Prob. 100ECh. 4.2 - Prob. 101ECh. 4.2 - Prob. 102ECh. 4.2 - Prob. 103ECh. 4.2 - Prob. 104ECh. 4.2 - Prob. 105ECh. 4.2 - Prob. 106ECh. 4.2 - Prob. 107ECh. 4.2 - Prob. 108ECh. 4.2 - Prob. 109ECh. 4.2 - Prob. 110ECh. 4.2 - Use a calculator to find the approximate value of...Ch. 4.2 - Use a calculator to find the approximate value of...Ch. 4.2 - Prob. 113ECh. 4.2 - Prob. 114ECh. 4.2 - Prob. 115ECh. 4.2 - Prob. 116ECh. 4.2 - Use a calculator to find the approximate value of...Ch. 4.2 - Use a calculator to find the approximate value of...Ch. 4.2 - Use a calculator to find the approximate value of...Ch. 4.2 - Use a calculator to find the approximate value of...Ch. 4.2 - Prob. 121ECh. 4.2 - Prob. 122ECh. 4.2 - Prob. 123ECh. 4.2 - Prob. 124ECh. 4.2 - Prob. 125ECh. 4.2 - Prob. 126ECh. 4.2 - Blood pressure. Maurice’s blood pressure (in...Ch. 4.2 - Deer population. The number of deer in a region is...Ch. 4.2 - Tide pattern. The depth of water, d feet, in a...Ch. 4.2 - Pollution levels. On a typical day, a particular...Ch. 4.2 - Daylight hours in Midland. The monthly average...Ch. 4.2 - Average temperature in Nashville. The monthly...Ch. 4.2 - Find all possible values of that correspond to the...Ch. 4.2 - Find all possible values of that correspond to the...Ch. 4.2 - Find all possible values of that correspond to the...Ch. 4.2 - Prob. 136ECh. 4.2 - Find all possible values of that correspond to the...Ch. 4.2 - Find all possible values of that correspond to the...Ch. 4.2 - Find the two values of t in the intervalthat...Ch. 4.2 - Prob. 140ECh. 4.2 - Prob. 141ECh. 4.2 - Prob. 142ECh. 4.2 - Prob. 143ECh. 4.2 - Prob. 144ECh. 4.2 - The point is the terminal point on the unit...Ch. 4.2 - The point is the terminal point on the unit...Ch. 4.2 - The point is the terminal point on the unit...Ch. 4.2 - Prob. 148ECh. 4.2 - Find all values of in the interval for which is...Ch. 4.2 - For how many numbers in the interval is the...Ch. 4.2 - The points , , , and , are terminal points on the...Ch. 4.2 - Prob. 152ECh. 4.2 - True or False. If, then .
Ch. 4.2 - True or False. If, then.
Ch. 4.2 - Let, find the missing quantity and then find the...Ch. 4.2 - Prob. 156ECh. 4.2 - Prob. 157ECh. 4.2 - Prob. 158ECh. 4.2 - Prob. 159ECh. 4.2 - Prob. 160ECh. 4.2 - Find the angle between and or and radians that is...Ch. 4.2 - Prob. 162ECh. 4.2 - Prob. 163ECh. 4.2 - Prob. 164ECh. 4.2 - Prob. 165ECh. 4.2 - Prob. 166ECh. 4.2 - Prob. 167ECh. 4.2 - Prob. 168ECh. 4.2 - Prob. 169ECh. 4.2 - Prob. 170ECh. 4.3 - Prob. 1ECh. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - A point on the terminal side of an angle in...Ch. 4.3 - Prob. 10ECh. 4.3 - Prob. 11ECh. 4.3 - Prob. 12ECh. 4.3 - Prob. 13ECh. 4.3 - Prob. 14ECh. 4.3 - A point on the terminal side of an angle in...Ch. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - Use the given information to find the quadrant in...Ch. 4.3 - Find the exact values of the trigonometric...Ch. 4.3 - Find the exact values of the trigonometric...Ch. 4.3 - Prob. 31ECh. 4.3 - Prob. 32ECh. 4.3 - Find the exact values of the trigonometric...Ch. 4.3 - Find the exact values of the trigonometric...Ch. 4.3 - Find the exact values of the trigonometric...Ch. 4.3 - Prob. 36ECh. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.3 - Find the reference angle for each angle.
Ch. 4.3 - Prob. 40ECh. 4.3 - Prob. 41ECh. 4.3 - Prob. 42ECh. 4.3 - Prob. 43ECh. 4.3 - Prob. 44ECh. 4.3 - Find the reference angle for each angle.
Ch. 4.3 - Prob. 46ECh. 4.3 - Prob. 47ECh. 4.3 - Prob. 48ECh. 4.3 - Prob. 49ECh. 4.3 - Use the reference angle to find the exact value of...Ch. 4.3 - Use the reference angle to find the exact value of...Ch. 4.3 - Use the reference angle to find the exact value of...Ch. 4.3 - Use the reference angle to find the exact value of...Ch. 4.3 - Use the reference angle to find the exact value of...Ch. 4.3 - Use the reference angle to find the exact value of...Ch. 4.3 - Prob. 56ECh. 4.3 - Use the reference angle to find the exact value of...Ch. 4.3 - Use the reference angle to find the exact value of...Ch. 4.3 - Prob. 59ECh. 4.3 - Prob. 60ECh. 4.3 - Prob. 61ECh. 4.3 - Prob. 62ECh. 4.3 - Use reciprocal and quotient identities to find the...Ch. 4.3 - Use reciprocal and quotient identities to find the...Ch. 4.3 - Use reciprocal and quotient identities to find the...Ch. 4.3 - Prob. 66ECh. 4.3 - Prob. 67ECh. 4.3 - Prob. 68ECh. 4.3 - Prob. 69ECh. 4.3 - Prob. 70ECh. 4.3 - Prob. 71ECh. 4.3 - Use fundamental identities to find the exact value...Ch. 4.3 - Use fundamental identities to find the exact value...Ch. 4.3 - Use fundamental identities to find the exact value...Ch. 4.3 - Prob. 75ECh. 4.3 - Prob. 76ECh. 4.3 - Prob. 77ECh. 4.3 - Prob. 78ECh. 4.3 - Prob. 79ECh. 4.3 - Prob. 80ECh. 4.3 - Use the Pythagorean identities to find the exact...Ch. 4.3 - Use the Pythagorean identities to find the exact...Ch. 4.3 - Use the Pythagorean identities to find the exact...Ch. 4.3 - Prob. 84ECh. 4.3 - Prob. 85ECh. 4.3 - Prob. 86ECh. 4.3 - Use even-odd identities to find the exact value of...Ch. 4.3 - Prob. 88ECh. 4.3 - Use even-odd identities to find the exact value of...Ch. 4.3 - Use even-odd identities to find the exact value of...Ch. 4.3 - Use even-odd identities to find the exact value of...Ch. 4.3 - Prob. 92ECh. 4.3 - Prob. 93ECh. 4.3 - Prob. 94ECh. 4.3 - Prob. 95ECh. 4.3 - Prob. 96ECh. 4.3 - Prob. 97ECh. 4.3 - Use even-odd identities to find the exact value of...Ch. 4.3 - Prob. 99ECh. 4.3 - Cable cost. Cable must be laid from a point on the...Ch. 4.3 - Household voltage. The voltage in a common...Ch. 4.3 - Volume of a cone. The volume, in, of the cone in...Ch. 4.3 - Prob. 103ECh. 4.3 - Prob. 104ECh. 4.3 - Prob. 105ECh. 4.3 - Prob. 106ECh. 4.3 - Use the information given for Exercises 105 and...Ch. 4.3 - Use the information given for Exercises 105 and...Ch. 4.3 - Prob. 109ECh. 4.3 - Prob. 110ECh. 4.3 - Prob. 111ECh. 4.3 - Prob. 112ECh. 4.3 - Prob. 113ECh. 4.3 - Prob. 114ECh. 4.3 - Prob. 115ECh. 4.3 - Prob. 116ECh. 4.3 - Prob. 117ECh. 4.3 - Prob. 118ECh. 4.3 - Prob. 119ECh. 4.3 - Prob. 120ECh. 4.3 - Prob. 121ECh. 4.3 - Prob. 122ECh. 4.3 - Prob. 123ECh. 4.3 - Prob. 124ECh. 4.3 - Prob. 125ECh. 4.3 - Prob. 126ECh. 4.3 - Prob. 127ECh. 4.3 - Show that
Ch. 4.3 - Find a positive number x for which
a. .
b. .
Ch. 4.3 - Without evaluating the functions, explain why each...Ch. 4.3 - Without evaluating the functions, explain why each...Ch. 4.3 - Prob. 132ECh. 4.3 - Prob. 133ECh. 4.3 - Prob. 134ECh. 4.3 - Prob. 135ECh. 4.3 - Find the zeros of each function.
Ch. 4.3 - Find the zeros of each function.
Ch. 4.3 - Find the zeros of each function.
Ch. 4.3 - Prob. 139ECh. 4.3 - Prob. 140ECh. 4.3 - Prob. 141ECh. 4.3 - Prob. 142ECh. 4.3 - Prob. 143ECh. 4.3 - Prob. 144ECh. 4.3 - Use the given graph of to graph each function.
Ch. 4.3 - Use the given graph of to graph each function.
Ch. 4.3 - Use the given graph of to graph each function.
Ch. 4.3 - Prob. 148ECh. 4.3 - Prob. 149ECh. 4.3 - Prob. 150ECh. 4.4 - The lowest point on the graph of,, occurs when .
Ch. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - The maximum value of is.
Ch. 4.4 - True or False. The amplitude of is.
Ch. 4.4 - True or False. The range of is.
Ch. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Sketch the graph of each given equation over the...Ch. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - Sketch the graph of each given equation over the...Ch. 4.4 - Sketch the graph of each given equation over the...Ch. 4.4 - Sketch the graph of each given equation over the...Ch. 4.4 - Sketch the graph of each given equation over the...Ch. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - Prob. 19ECh. 4.4 - Sketch the graph of each given equation over the...Ch. 4.4 - Sketch the graph of each given equation over the...Ch. 4.4 - Sketch the graph of each given equation over the...Ch. 4.4 - Prob. 23ECh. 4.4 - Prob. 24ECh. 4.4 - Prob. 25ECh. 4.4 - Prob. 26ECh. 4.4 - Sketch the graph of each given equation over the...Ch. 4.4 - Prob. 28ECh. 4.4 - Find the amplitude, period, and phase shift of...Ch. 4.4 - Find the amplitude, period, and phase shift of...Ch. 4.4 - Find the amplitude, period, and phase shift of...Ch. 4.4 - Prob. 32ECh. 4.4 - Find the amplitude, period, and phase shift of...Ch. 4.4 - Prob. 34ECh. 4.4 - Prob. 35ECh. 4.4 - Prob. 36ECh. 4.4 - Write an equation of the form with the given...Ch. 4.4 - Write an equation of the form with the given...Ch. 4.4 - Write an equation of the form with the given...Ch. 4.4 - Write an equation of the form with the given...Ch. 4.4 - Prob. 41ECh. 4.4 - Write an equation of the form with the given...Ch. 4.4 - Prob. 43ECh. 4.4 - Prob. 44ECh. 4.4 - Write an equation for each sinusoidal graph.
Ch. 4.4 - Write an equation for each sinusoidal graph.
Ch. 4.4 - Write an equation for each sinusoidal graph.
Ch. 4.4 - Prob. 48ECh. 4.4 - Prob. 49ECh. 4.4 - Prob. 50ECh. 4.4 - Write an equation for each sinusoidal graph.
Ch. 4.4 - Write an equation for each sinusoidal graph.
Ch. 4.4 - Prob. 53ECh. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Graph each function over a one-period...Ch. 4.4 - Prob. 58ECh. 4.4 - Prob. 59ECh. 4.4 - Prob. 60ECh. 4.4 - Prob. 61ECh. 4.4 - Prob. 62ECh. 4.4 - Prob. 63ECh. 4.4 - Prob. 64ECh. 4.4 - Prob. 65ECh. 4.4 - Prob. 66ECh. 4.4 - Write each function in the form or. Find each...Ch. 4.4 - Prob. 68ECh. 4.4 - Prob. 69ECh. 4.4 - Prob. 70ECh. 4.4 - Prob. 71ECh. 4.4 - Prob. 72ECh. 4.4 - Prob. 73ECh. 4.4 - Prob. 74ECh. 4.4 - Prob. 75ECh. 4.4 - Prob. 76ECh. 4.4 - Prob. 77ECh. 4.4 - Prob. 78ECh. 4.4 - Prob. 79ECh. 4.4 - Prob. 80ECh. 4.4 - Prob. 81ECh. 4.4 - Prob. 82ECh. 4.4 - Prob. 83ECh. 4.4 - Prob. 84ECh. 4.4 - Prob. 85ECh. 4.4 - Prob. 86ECh. 4.4 - Prob. 87ECh. 4.4 - Prob. 88ECh. 4.4 - Prob. 89ECh. 4.4 - Prob. 90ECh. 4.4 - Prob. 91ECh. 4.4 - Prob. 92ECh. 4.4 - Prob. 93ECh. 4.4 - Prob. 94ECh. 4.4 - Prob. 95ECh. 4.4 - Prob. 96ECh. 4.4 - Prob. 97ECh. 4.4 - Prob. 98ECh. 4.4 - Prob. 99ECh. 4.4 - Prob. 100ECh. 4.4 - Prob. 101ECh. 4.4 - Prob. 102ECh. 4.4 - Prob. 103ECh. 4.4 - Prob. 104ECh. 4.4 - Prob. 105ECh. 4.4 - Prob. 106ECh. 4.4 - Prob. 107ECh. 4.4 - Find the equation of each line in slope-intercept...Ch. 4.4 - Find the equation of each line in slope-intercept...Ch. 4.4 - Prob. 110ECh. 4.4 - Prob. 111ECh. 4.4 - Prob. 112ECh. 4.4 - Prob. 113ECh. 4.4 - Prob. 114ECh. 4.4 - Let and . State whether each function is even,...Ch. 4.4 - Let and . State whether each function is even,...Ch. 4.4 - Let and . State whether each function is even,...Ch. 4.4 - Prob. 118ECh. 4.4 - Prob. 119ECh. 4.4 - Prob. 120ECh. 4.5 - Prob. 1ECh. 4.5 - Prob. 2ECh. 4.5 - If and, then.
Ch. 4.5 - The maximum value of for is.
Ch. 4.5 - True or False. The line makes an angle of with...Ch. 4.5 - Prob. 6ECh. 4.5 - Prob. 7ECh. 4.5 - Prob. 8ECh. 4.5 - Find the slope-intercept form of the equation of...Ch. 4.5 - Find the slope-intercept form of the equation of...Ch. 4.5 - Find the slope-intercept form of the equation of...Ch. 4.5 - Find the slope-intercept form of the equation of...Ch. 4.5 - Graph each function over a one-period interval.
Ch. 4.5 - Graph each function over a one-period...Ch. 4.5 - Graph each function over a one-period...Ch. 4.5 - Prob. 16ECh. 4.5 - Graph each function over a one-period...Ch. 4.5 - Prob. 18ECh. 4.5 - Graph each function over a one-period...Ch. 4.5 - Graph each function over a one-period...Ch. 4.5 - Graph each function over a one-period...Ch. 4.5 - Graph each function over a one-period...Ch. 4.5 - Graph each function over a one-period...Ch. 4.5 - Prob. 24ECh. 4.5 - Graph each function over a one-period...Ch. 4.5 - Prob. 26ECh. 4.5 - Graph each function over a one-period...Ch. 4.5 - Prob. 28ECh. 4.5 - Graph each function over a one-period...Ch. 4.5 - Graph each function over a one-period interval.
Ch. 4.5 - Graph each function over a two-period interval.
Ch. 4.5 - Prob. 32ECh. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Prob. 36ECh. 4.5 - Graph each function over a two-period...Ch. 4.5 - Graph each function over a two-period...Ch. 4.5 - Graph each function over a two-period...Ch. 4.5 - Prob. 40ECh. 4.5 - Prob. 41ECh. 4.5 - Prob. 42ECh. 4.5 - Prob. 43ECh. 4.5 - Prob. 44ECh. 4.5 - Graph each function over a two-period interval.
...Ch. 4.5 - Graph each function over a two-period interval.
...Ch. 4.5 - Graph each function over a two-period...Ch. 4.5 - Graph each function over a two-period interval.
Ch. 4.5 - Prob. 49ECh. 4.5 - Prob. 50ECh. 4.5 - Write an equation of the form for each graph.
Ch. 4.5 - Prob. 52ECh. 4.5 - Prob. 53ECh. 4.5 - Write an equation of the form for each graph.
Ch. 4.5 - Write an equation of the form for each graph.
Ch. 4.5 - Write an equation of the form for each graph.
Ch. 4.5 - Prison searchlight. A dual-beam rotating light n a...Ch. 4.5 - Prob. 58ECh. 4.5 - Prob. 59ECh. 4.5 - Prob. 60ECh. 4.5 - Circumscribed polygon. A regular circumscribed...Ch. 4.5 - Circumscribed polygon. A regular circumscribed...Ch. 4.5 - Modeling with Tangent Function. Model the given...Ch. 4.5 - Modeling with Tangent Function. Model the given...Ch. 4.5 - Prob. 65ECh. 4.5 - Prob. 66ECh. 4.5 - Prob. 67ECh. 4.5 - Prob. 68ECh. 4.5 - Prob. 69ECh. 4.5 - Prob. 70ECh. 4.5 - Graph each function over a tow - period...Ch. 4.5 - Graph each function over a tow - period...Ch. 4.5 - Prob. 73ECh. 4.5 - Prob. 74ECh. 4.5 - Prob. 75ECh. 4.5 - Prob. 76ECh. 4.5 - Prob. 77ECh. 4.5 - Prob. 78ECh. 4.5 - Prob. 79ECh. 4.5 - For what number b does have period?
Ch. 4.5 - Write an equation in the form that has the same...Ch. 4.5 - How can you obtain the graph of by using...Ch. 4.5 - Prob. 83ECh. 4.5 - Prob. 84ECh. 4.5 - Prob. 85ECh. 4.5 - Prob. 86ECh. 4.5 - Prob. 87ECh. 4.5 - Prob. 88ECh. 4.5 - True or False. If f is a one-to-one function, then...Ch. 4.5 - True or False. For a one-to-one function, the...Ch. 4.5 - Show that is not one-to-one on its domain. Write...Ch. 4.5 - Prob. 92ECh. 4.5 - Prob. 93ECh. 4.5 - Prob. 94ECh. 4.6 - The domain of is .
Ch. 4.6 - Prob. 2ECh. 4.6 - The exact value of is .
Ch. 4.6 - = .
Ch. 4.6 - True or False. If , then .
Ch. 4.6 - Prob. 6ECh. 4.6 - Prob. 7ECh. 4.6 - Prob. 8ECh. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Prob. 14ECh. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Prob. 17ECh. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Prob. 22ECh. 4.6 - Prob. 23ECh. 4.6 - Prob. 24ECh. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Prob. 29ECh. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Prob. 31ECh. 4.6 - Prob. 32ECh. 4.6 - Prob. 33ECh. 4.6 - Prob. 34ECh. 4.6 - Prob. 35ECh. 4.6 - Prob. 36ECh. 4.6 - Prob. 37ECh. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Prob. 42ECh. 4.6 - Prob. 43ECh. 4.6 - Prob. 44ECh. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Prob. 47ECh. 4.6 - Prob. 48ECh. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Prob. 50ECh. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Prob. 53ECh. 4.6 - Prob. 54ECh. 4.6 - Prob. 55ECh. 4.6 - Prob. 56ECh. 4.6 - Prob. 57ECh. 4.6 - Prob. 58ECh. 4.6 - Use the identities on page 422 to find the exact...Ch. 4.6 - Use the identities on page 422 to find the exact...Ch. 4.6 - Use the identities on page 422 to find the exact...Ch. 4.6 - Prob. 62ECh. 4.6 - Use the identities on page 422 to find the exact...Ch. 4.6 - Prob. 64ECh. 4.6 - Prob. 65ECh. 4.6 - Prob. 66ECh. 4.6 - Use the identities on page 422 to find the exact...Ch. 4.6 - Prob. 68ECh. 4.6 - Prob. 69ECh. 4.6 - Use a calculator to find each value of y in...Ch. 4.6 - Prob. 71ECh. 4.6 - Prob. 72ECh. 4.6 - Prob. 73ECh. 4.6 - Use a calculator to find each value of y in...Ch. 4.6 - Prob. 75ECh. 4.6 - Prob. 76ECh. 4.6 - Prob. 77ECh. 4.6 - Prob. 78ECh. 4.6 - Prob. 79ECh. 4.6 - Prob. 80ECh. 4.6 - Prob. 81ECh. 4.6 - Use a sketch to find each exact value of y.
Ch. 4.6 - Use a sketch to find each exact value of y.
Ch. 4.6 - Prob. 84ECh. 4.6 - Use a sketch to find each exact value of y.
Ch. 4.6 - Prob. 86ECh. 4.6 - Use a sketch to find each exact value of y.
Ch. 4.6 - Prob. 88ECh. 4.6 - Prob. 89ECh. 4.6 - Use a sketch to find each exact value of y.
Ch. 4.6 - Prob. 91ECh. 4.6 - Prob. 92ECh. 4.6 - Motorcycle racing. A video camera is set up x feet...Ch. 4.6 - Prob. 94ECh. 4.6 - Prob. 95ECh. 4.6 - Prob. 96ECh. 4.6 - Prob. 97ECh. 4.6 - Prob. 98ECh. 4.6 - Prob. 99ECh. 4.6 - Prob. 100ECh. 4.6 - Determine whether each function is increasing or...Ch. 4.6 - Determine whether each function is increasing or...Ch. 4.6 - Prob. 103ECh. 4.6 - Prob. 104ECh. 4.6 - Prob. 105ECh. 4.6 - Prob. 106ECh. 4.6 - Prob. 107ECh. 4.6 - Prob. 108ECh. 4.6 - Use transformations to sketch the graph of each...Ch. 4.6 - Use transformations to sketch the graph of each...Ch. 4.6 - Use transformations to sketch the graph of each...Ch. 4.6 - Prob. 112ECh. 4.6 - Prob. 113ECh. 4.6 - Prob. 114ECh. 4.6 - Prob. 115ECh. 4.6 - Prob. 116ECh. 4.6 - Find all values of x in the interval.
for which...Ch. 4.6 - Find all values of x for which
[Hint: Take the...Ch. 4.6 - Prob. 119ECh. 4.6 - Prob. 120ECh. 4.6 - Prob. 121ECh. 4.6 - Prob. 122ECh. 4.6 - Prob. 123ECh. 4.6 - Prob. 124ECh. 4.6 - Prob. 125ECh. 4.6 - Simplify: .
Ch. 4 - Draw each angle in standard position.
Ch. 4 - Draw each angle in standard position.
Ch. 4 - Draw each angle in standard position.
Ch. 4 - Prob. 4RECh. 4 - Convert each angle from degrees to radians....Ch. 4 - Prob. 6RECh. 4 - Convert each angle from degrees to radians....Ch. 4 - Convert each angle from radians to degrees.
Ch. 4 - Convert each angle from radians to degrees.
Ch. 4 - Convert each angle from radians to degrees.
Ch. 4 - Find the radian measure of a central angle of a...Ch. 4 - Prob. 12RECh. 4 - Find the length of the arc on each circle of...Ch. 4 - Prob. 14RECh. 4 - Find the area of the sector of a circle of radius...Ch. 4 - Find the area of the sector of a circle of radius...Ch. 4 - Use each given trigonometric function value of to...Ch. 4 - Use each given trigonometric function value of to...Ch. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - A point on the terminal side of an angle is...Ch. 4 - A point on the terminal side of an angle is...Ch. 4 - A point on the terminal side of an angle is...Ch. 4 - Prob. 24RECh. 4 - Use the given information to find the quadrant in...Ch. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Find the exact values of the remaining...Ch. 4 - Find the exact values of the remaining...Ch. 4 - Find the exact values of the remaining...Ch. 4 - Find the exact value of each trigonometric...Ch. 4 - Find the exact value of each trigonometric...Ch. 4 - Find the exact value of each trigonometric...Ch. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Sketch the graph of each given equation over the...Ch. 4 - Sketch the graph of each given equation over the...Ch. 4 - Sketch the graph of each given equation over the...Ch. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Graph each function over a two-period...Ch. 4 - Graph each function over a two-period...Ch. 4 - Graph each function over a two-period...Ch. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - Prob. 52RECh. 4 - Prob. 53RECh. 4 - Prob. 54RECh. 4 - Find the exact value of y or state that y is...Ch. 4 - Find the exact value of y or state that y is...Ch. 4 - Prob. 57RECh. 4 - Prob. 58RECh. 4 - Prob. 59RECh. 4 - Prob. 60RECh. 4 - Prob. 61RECh. 4 - Prob. 62RECh. 4 - Prob. 63RECh. 4 - Write an equation of the form for the given...Ch. 4 - Distance. A tractor rolls backward so that its...Ch. 4 - Angle measure. What is the radian measure of the...Ch. 4 - Prob. 67RECh. 4 - Angular speed. A horse on the outside row of a...Ch. 4 - Prob. 69RECh. 4 - Prob. 70RECh. 4 - Prob. 71RECh. 4 - Viewing Angle. The bottom of a 40-foot movie...Ch. 4 - Convert to radians.
Ch. 4 - Convert to degrees.
Ch. 4 - Prob. 3PTACh. 4 - Prob. 4PTACh. 4 - Prob. 5PTACh. 4 - Prob. 6PTACh. 4 - Prob. 7PTACh. 4 - Prob. 8PTACh. 4 - What is the reference angle for?
Ch. 4 - If, find.
Ch. 4 - Form a seat meters high on a Ferris wheel, the...Ch. 4 - Prob. 12PTACh. 4 - Prob. 13PTACh. 4 - Prob. 14PTACh. 4 - Prob. 15PTACh. 4 - Prob. 16PTACh. 4 - Graph over a one-period interval.
Ch. 4 - Find the exact value of .
Ch. 4 - Find the exact value of .
Ch. 4 - Prob. 20PTACh. 4 - Prob. 1PTBCh. 4 - Prob. 2PTBCh. 4 - Prob. 3PTBCh. 4 - Prob. 4PTBCh. 4 - Prob. 5PTBCh. 4 - Prob. 6PTBCh. 4 - Prob. 7PTBCh. 4 - Prob. 8PTBCh. 4 - What is the reference angle for?
a.
b.
c.
d.
Ch. 4 - Prob. 10PTBCh. 4 - Prob. 11PTBCh. 4 - Prob. 12PTBCh. 4 - Prob. 13PTBCh. 4 - Prob. 14PTBCh. 4 - Prob. 15PTBCh. 4 - Prob. 16PTBCh. 4 - Prob. 17PTBCh. 4 - Prob. 18PTBCh. 4 - Prob. 19PTBCh. 4 - Find the exact value of.
a.
b.
c.
d.
Ch. 4 - Solve the equation.
Ch. 4 - Find all real numbers solutions of the equation.
Ch. 4 - Solve the inequality and write the answer in...Ch. 4 - Write the slope-intercept form of the equation of...Ch. 4 - Find the domain of the function.
Ch. 4 - Identify the basic function and then use...Ch. 4 - Use transformations to sketch the graph of the...Ch. 4 - Find and write the domain of in interval...Ch. 4 - Determine whether each function has an inverse...Ch. 4 - Use synthetic division to find the quotient and...Ch. 4 - Find the horizontal and vertical asymptotes of the...Ch. 4 - Use rules of logarithms to rewrite each expression...Ch. 4 - Sketch the graph of
Ch. 4 - Solve the equation.
Ch. 4 - Find all possible rational zeros of the...Ch. 4 - Use the given trigonometric function value of to...Ch. 4 - Find the exact values of the remaining...Ch. 4 - Prob. 18CRECh. 4 - Prob. 19CRECh. 4 - Prob. 20CRE
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