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study help
mathematics
precalculus
Precalculus 9th edition Michael Sullivan - Solutions
Write the equation of a sine function that has the given characteristics.Amplitude: 2Period: 4π
Write the equation of a sine function that has the given characteristics.Amplitude: 3Period: π
In problem, convert each angle in radians to degrees.– π/6
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. 3 sin У
In problem, convert each angle in radians to degrees.–π
(a) Find a linear function that contains the points (-2, 3) and (1, -6). What is the slope? What are the intercepts of the function? Graph the function. Be sure to label the intercepts.(b) Find a quadratic function that contains the point (-2, 3) with vertex (1, -6). What are the intercepts of the
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. 3 3 cos 4 2
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y = -4 sin х
Graph the function. Graph should contain at least two periods. Use the graph to determine the domain and the range of function.y = 2 sin(4x)
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.y = 2 sin x + 3
Graph the function. Graph should contain at least two periods. Use the graph to determine the domain and the range of function.y = -3 cos(2x)
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.y = 3 cosx +2
Graph the function. Graph should contain at least two periods. Use the graph to determine the domain and the range of function. y = -2 cos x + 2
Graph the function. Graph should contain at least two periods. Use the graph to determine the domain and the range of function.y = 3 sin(x - π)
Graph the function. Graph should contain at least two periods. Use the graph to determine the domain and the range of function.y = tan(x + π)
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. - 4 y = -6 sin
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y = -3 cos + 2 т 4
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.y = 5 - 3 sin(2x)
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.y = 2 - 4 cos(3x)
In problem, convert each angle in radians to degrees.– π/2
Find the shortest distance from Honolulu to Melbourne, Australia, latitude 37°47'S, longitude 144°58'E. Round your answer to the nearest mile.The shortest distance between two points on Earth's surface can be determined from the latitude and longitude of the two locations. For example, if
Find the shortest distance from Chicago, latitude 41°50'N, longitude 87°37'W to Honolulu, latitude 21°18'N, longitude 157°50'W. Round your answer to the nearest mile.The shortest distance between two points on Earth's surface can be determined from the latitude and longitude of the two
The area under the graph of and above the x-axis between x = a and x = b is given bysin-1 b – sin-1 aSee the figure.(a) Find the exact area under the graph of and above the x-axis between x = 0 and x = √3/2.(b) Find the exact area under the graph ofand above the x-axis between and x =
The area under the graph of y = 1/1 + x2 and above the x-axis between x = a and x = b is given bytan-1 b – tan-1 aSee figure (a) Find the exact area under the graph of y = 1/1 + x2 and above the x-axis between x = 0 and x = √3.(b) Find the exact area under the graph of y = 1/1 + x2 and
Suppose that a movie theater has a screen that is 28 feet tall. When you sit down, the bottom of the screen is 6 feet above your eye level. The angle formed by drawing a line from your eye to the bottom of the screen and your eye and the top of the screen is called the viewing angle. In the figure
Cadillac Mountain, elevation 1530 feet, is located in Acadia National Park, Maine, and is the highest peak on the east coast of the United States. It is said that a person standing on the summit will be the first person in the United States to see the rays of the rising Sun. How much sooner would a
Approximate the number of hours of daylight for any location that is 66°30' north latitude for the following dates:(a) Summer solstice (i = 23.5°)(b) Vernal equinox (i = 0°)(c) July 4(1 = 22°48')(d) The number of hours of daylight on the winter solstice may be found by computing the number of
Approximate the number of hours of daylight at the Equator (0° north latitude) for the following dates:(a) Summer solstice (i = 23.5°)(b) Vernal equinox (i = 0°)(c) July 4 (i = 22°48')(d) What do you conclude about the number of hours of daylight throughout the year for a location at the
Approximate the number of hours of daylight in Anchorage, Alaska (61°10' north latitude), for the following dates:(a) Summer solstice (i = 23.5°)(b) Vernal equinox (i = 0°)(c) July 4 (i = 22°48')Use the following discussion. The formulacan be used to approximate the number of hours of daylight
Approximate the number of hours of daylight in Honolulu, Hawaii (21°18' north latitude), for the following dates:(a) Summer solstice (i = 23.5°)(b) Vernal equinox (i = 0°)(c) July 4 (i = 22°48') Use the following discussion. The formulacan be used to approximate the number of hours of
Approximate the number of hours of daylight in New York, New York (40°45' north latitude), for the following dates:(a) Summer solstice (i = 23.5°)(b) Vernal equinox (i = 0°)(c) July 4 (i = 22°48') Use the following discussion. The formulacan be used to approximate the number of hours of
Approximate the number of hours of daylight in Houston, Texas (29°45' north latitude), for the following dates:(a) Summer solstice (i = 23.5°)(b) Vernal equinox (i = 0°)(c) July 4 (i = 22°48') Use the following discussion. The formulacan be used to approximate the number of hours of
Find the exact solution of equation.5 sin-1 x – 2π = 2 sin-1x - 3π
Find the exact solution of equation.4 cos-1 x – 2π = 2 cos-1 x
Find the exact solution of equation.-4 tan-1 x = π
Find the exact solution of equation.3 tan-1 x = π
Find the exact solution of equation.-6 sin-1(3x) = π
Find the exact solution of equation.3 cos-1(2x) = 2π
Find the exact solution of equation.2 cos-1 x = π
Find the exact solution of equation.4 sin-1 x = π
Find the inverse function f-1 of function f. Find the range of f and the domain and range of f-1. 2 S(x) = 2 cos(3x + 2): –sxs+ 3
Find the inverse function f-1 of function f. Find the range of f and the domain and range of f-1. TT f(x) = 3 sin(2.x + 1);– %3D 4 4.
Find the inverse function f-1 of function f. Find the range of f and the domain and range of f-1. f(x) = cos(x + 2) + 1; –2 SIST- 2
Find the inverse function f-1 of function f. Find the range of f and the domain and range of f-1. |f(x) = -tan(x + 1) – 3; –1 - т х 2 2
Find the inverse function f-1 of function f. Find the range of f and the domain and range of f-1. f(x) = 3 sin(2x);- s xs 4 4
Find the inverse function f-1 of function f. Find the range of f and the domain and range of f-1. f(x) = -2 cos(3x);0 < x < 3
Find the inverse function f-1 of function f. Find the range of f and the domain and range of f-1. TT 3;- f(x) = 2 tan x %3D 티2
Find the inverse function f-1 of function f. Find the range of f and the domain and range of f-1. f(x) = 5 sin x + 2; 2
Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator.sin[sin-1 (-1.5)]
Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator.tan(tan-1 π)
Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator.sin[sin-1(-2)]
Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator.cos(cos-11.2)
Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator.tan[tan-1(-2)]
Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator.tan(tan-1 4)
Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. 3. cos cos
Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. sin sin 4
Find the exact value of expression. Do not use a calculator. 4т tan 5 tan
Find the exact value of expression. Do not use a calculator. tan tan 3 an
Find the exact value of expression. Do not use a calculator. cos 3 Cos
Find the exact value of expression. Do not use a calculator. 97 sin sin SI
Find the exact value of expression. Do not use a calculator. Зт sin sin
Find the exact value of expression. Do not use a calculator. Зт tan tan
Find the exact value of expression. Do not use a calculator. sin 10 sin
Find the exact value of expression. Do not use a calculator. 47 Cos 5 cos
Use a calculator to find the value of expression rounded to two decimal places.sin-1 √3/5
Use a calculator to find the value of expression rounded to two decimal places.cos-1 √2/3
Use a calculator to find the value of expression rounded to two decimal places.cos-1(-0.44)
Use a calculator to find the value of expression rounded to two decimal places.sin-1(-0.12)
Use a calculator to find the value of expression rounded to two decimal places.tan-1(-3)
Use a calculator to find the value of expression rounded to two decimal places.tan-1(-0.4)
Use a calculator to find the value of expression rounded to two decimal places.sin-1 1/8
Use a calculator to find the value of expression rounded to two decimal places.cos-1 7/8
Use a calculator to find the value of expression rounded to two decimal places.tan-1 0.2
Use a calculator to find the value of expression rounded to two decimal places.tan-1 5
Use a calculator to find the value of expression rounded to two decimal places.cos-1 0.6
Use a calculator to find the value of expression rounded to two decimal places.sin-1 0.1
Find the exact value of expression.sin-1 (-√2/2)
Find the exact value of expression.cos-1 (-√3/2)
Find the exact value of expression.sin-1 (-√3/2)
Find the exact value of expression.tan-1 √3
Find the exact value of expression.tan-1 √3/2
Find the exact value of expression.sin-1 √2/2
Find the exact value of expression.tan-1(-1)
Find the exact value of expression.tan-1 0
Find the exact value of expression.cos-1(-1)
Find the exact value of expression.sin-1(-1)
Find the exact value of expression.cos-1 1
Find the exact value of expression.sin-1 0
True or Falsey = tan-1 x means x = tan y, where -∞ < x < ∞ and –π/2 < y π/2.
True or Falsesin(sin-1 0) = 0 and cos(cos-1 0) = 0.
True or FalseThe domain of y = sin-1 x is –π/2 ≤ x ≤ π/2.
Solved: tan(tan-1 x) = x where __________.
Solved: cos-1 (cos x) = x where _________.
Solved: y = sin-1 x means _________,where -1 ≤ x ≤ 1 and –π/2 ≤ y ≤ π/2.
Solved: sin(-π/6) _______; cos π = _______.
Solved: tan π/4 = _________. sin π/3 _______.
True or FalseThe graph of y = cos x is decreasing on the interval [0, π].
If the domain of a one-to-one function is [3,∞), the range of its inverse is ____.
A suitable restriction on the domain of the function f(x) = (x - 1)2 to make it one-to-one would be ______.
What is the domain and the range of y = sin x?
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