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study help
mathematics
precalculus
Precalculus 9th edition Michael Sullivan - Solutions
What is the y-intercept of y = secx? If necessary, refer to the graphs to answer each question.
The graph of has a vertical asymptote. What y = 3x – 6/x - 4 is it?
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. cos(2x) 2 y =
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 y = 2 cos %3D х
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 sinx
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 = 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 = 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 = sin(3x)
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 = cos(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 = -3 cos x
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 x
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 sin x
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 cos x
In problem, find the exact value of each expression. Do not use a calculator. 2 sec T Csc
In problem, find the exact value of each expression. Do not use a calculator. csc-+ cot 2 2 2
In problem, find the exact value of each expression. Do not use a calculator. 3 csc + cot- cot- 3 4
In problem, find the exact value of each expression. Do not use a calculator. TT cot - 3 | 2 sec + 4 cot
In problem, find the exact value of each expression. Do not use a calculator. 2 sin - + 3 tan 4 4
In problem, find the exact value of each expression. Do not use a calculator. TT 2 sin 3 tan 3
In problem, find the exact value of each expression. Do not use a calculator.5 cos 90° - 8 sin 270°
In problem, find the exact value of each expression. Do not use a calculator.4 sin 90° - 3 tan 180°
In problem, find the exact value of each expression. Do not use a calculator.sec 30° cot 45°
In problem, find the exact value of each expression. Do not use a calculator.csc 45° tan 60°
In problem, find the exact value of each expression. Do not use a calculator.tan 45° cos 30°
In problem, find the exact value of each expression. Do not use a calculator.sin 45° cos 45°
In problem, find the exact value of each expression. Do not use a calculator.cos 180° - sin 180°
In problem, find the exact value of each expression. Do not use a calculator.sin 90° + tan 45°
According to the Old Farmer's Almanac, in Miami, Florida, the number of hours of sunlight on the summer solstice of 2010 was 13.75, and the number of hours of sunlight on the winter solstice was 10.55.(a) Find a sinusoidal function of the form y = A sin(ωx – ϕ) + B that models the data.(b) Use
The length of time between consecutive high tides is 12 hours and 25 minutes. According to the National Oceanic and Atmospheric Administration, on Saturday, July 25, 2009, in Sitka Sound, Alaska, high tide occurred at 2:37 AM (2.6167 hours) and low tide occurred at 9:12 PM (9.2 hours). Water
The length of time between consecutive high tides is 12 hours and 25 minutes. According to the National Oceanic and Atmospheric Administration, on Saturday, July 25, 2009, in Charleston, South Carolina, high tide occurred at 11:30 Am (11.5 hours) and low tide occurred at 5:31 PM (17.5167 hours).
The following data represent the average monthly temperatures for Indianapolis, Indiana.Month, x …………………………….. Average Monthly Temperature, ˚FJanuary, 1 …………………………………………………………….. 25.5February, 2
The following data represent the average monthly temperatures for Washington, D.C.(a) Draw a scatter diagram of the data for one period.(b) Find a sinusoidal function of the form y = Asin(ωx – ϕ) + B that models the data.(c) Draw the sinusoidal function found in part (b) on the scatter
The following data represent the average monthly temperatures for Juneau, Alaska.Month, x …………………………….. Average Monthly Temperature, ˚FJanuary, 1 …………………………………………………………….. 24.2February, 2
Write the equation of a sine function that has the given characteristics.Amplitude: 3Period: 3πPhase shift: - 1/3
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 sec + 1
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. - 1 у 3 2 csc -х %3D
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 cot x - 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. tan
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. Зт y = csc x- 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. + 2 3 y = sec
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 cot x - 1
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. + 1 y = tan -x
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 sec x ||
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 sec x
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 tan x
For what numbers x, -2 π ≤ x ≤ 2π, does the graph of y = cot x have vertical asymptotes?If necessary, refer to the graphs to answer each question.
For what numbers x, -2 π ≤ x ≤ 2π, does the graph of y = tan x have vertical asymptotes?If necessary, refer to the graphs to answer each question.
For what numbers x, -2π ≤ x ≤ 2π, does the graph of y = csc x have vertical asymptotes? If necessary, refer to the graphs to answer each question.
For what numbers x, -2π ≤ x ≤ 2π, does the graph of y = sec x have vertical asymptotes? If necessary, refer to the graphs to answer each question.
Graph y = 3 sin(2x).
Find the exact value of (sin 14°)2 + (cos 14°)2 - 3.
Find the exact value of each expression.2 sin2 60° - 3 cos 45°
On the given unit circle, fill in the missing angles (in radians) and the corresponding points P of each angle. YA Angle: Angle: Angle: Angle: = Angle: Angle: Angle: Angle: Angle: P х P Angle: 11 Angle: Angle: -7 Angle: Angle: 5т Angle: Angle:
According to the Old Farmer’s Almanac, in Las Vegas, Nevada, the number of hours of sunlight on the summer solstice is 14.63 and the number of hours of sunlight on the winter solstice is 9.72.(a) Find a sinusoidal function of the form y = A sin(ωx – ϕ) + B that fits the data.(b) Use the
Monthly Temperature The following data represent the average monthly temperatures for Phoenix, Arizona.(a) Draw a scatter diagram of the data for one period.(b) Find a sinusoidal function of the form y = A sin(ωx – ϕ) + B that fits the data.(c) Draw the sinusoidal function found in part (b) on
The current I, in amperes, flowing through an ac (alternating current) circuit at time t is(a) What is the period?(b) What is the amplitude?(c) What is the phase shift?(d) Graph this function over two periods. I(t) = 220 sin 30nt + %3D
The electromotive force E, in volts, in a certain ac (alternating circuit) circuit obeys the functionwhere t is measured in seconds.(a) What is the maximum value of E?(b) What is the period?(c) Graph this function over two periods. E(t) = 120 sin(1207t),
The radius of each wheel of a car is 16 inches. At how many revolutions per minute should a spin balancer be set to balance the tires at a speed of 90 miles per hour? Is the setting different for a wheel of radius 14 inches? If so, what is this setting?
The Montauk Point Lighthouse on Long Island has dual beams (two light sources opposite each other). Ships at sea observe a blinking light every 5 seconds.What rotation speed is required to do this?
A neighborhood carnival has a merry go-round whose radius is 25 feet. If the time for one revolution is 30 seconds, how fast is the merry-go-round going?
A race car is driven around a circular track at a constant speed of 180 miles per hour. If the diameter of the track is 1/2 mile, what is the angular speed of the car? Express your answer in revolutions per hour (which is equivalent to laps per hour).
The minute hand of a clock is 8 inches long. How far does the tip of the minute hand move in 30 minutes? How far does it move in 20 minutes?
Find the length of the arc subtended by a central angle of 30° on a circle of radius 2 feet.What is the area of the sector?
(a) Convert the angle 32°20'35" to a decimal in degrees. Round the answer to two decimal places.(b) Convert the angle 63.18° to D°M'S" form. Express the answer to the nearest second.
What is the domain and the range of the secant function? What is the period?
Find the exact value of sin t, cos t, and tan t if P = (-2, 5) is the point on the circle that corresponds to t.
Find the exact values of the six trigonometric functions of t ifis the point on the unit circle that corresponds to t. 1 2V2 %3D P = 31
Name the quadrant lies in if cos θ and tan θ < 0.
Determine the signs of the six trigonometric functions of an angle whose terminal side is in quadrant III.
Use a calculator to approximate sec 10°. Round the answer to two decimal places.
Use a calculator to approximate sin π/8 Round the answer to two decimal places.
Find a function whose graph is given. 2 4 6 8 10 x -4 -2
Find a function whose graph is given. Ул х 2 4 6 8 ЛО -4
Find a function whose graph is given. AA 6m / 10m -2- 27
Find a function whose graph is given. 4 -4
Find the amplitude, period, and phase shift of function. Graph function. Show at least two periods. т y = -7 sin 3 3 3 х
Find the amplitude, period, and phase shift of function. Graph function. Show at least two periods. 2 3 - cos (пх — 6)
Find the amplitude, period, and phase shift of function. Graph function. Show at least two periods. 3 y = у 3— сos (6x + Зп) ||
Find the amplitude, period, and phase shift of function. Graph function. Show at least two periods. -sin
Find the amplitude, period, and phase shift of function. Graph function. Show at least two periods. -cos У
In problem, A denotes the area of the sector of a circle of radius r formed by the central angle θ. Find the missing quantity. Round answers to three decimal places.r = 10 meters, θ = 1/2 radian, A = ?
In problem, s denotes the length of the arc of a circle of radius r subtended by the central angle θ. Find the missing quantity. Round answers to three decimal places.r = 2 inches, θ = 30°, s = ?
In problem, s denotes the length of the arc of a circle of radius r subtended by the central angle θ. Find the missing quantity. Round answers to three decimal places.r = 3 meters, θ = 120°, s = ?
In problem, s denotes the length of the arc of a circle of radius r subtended by the central angle θ. Find the missing quantity. Round answers to three decimal places.r = 6 meters, s = 8 meters, θ = ?
In problem, s denotes the length of the arc of a circle of radius r subtended by the central angle θ. Find the missing quantity. Round answers to three decimal places.r = 5 miles, s = 3 miles, θ = ?
In problem, s denotes the length of the arc of a circle of radius r subtended by the central angle θ. Find the missing quantity. Round answers to three decimal places.θ = 1/4 radian, s = 6 centimeters, r = ?
In problem, s denotes the length of the arc of a circle of radius r subtended by the central angle θ. Find the missing quantity. Round answers to three decimal places.θ = 1/3 radian, s = 2 feet, r = ?
In problem, s denotes the length of the arc of a circle of radius r subtended by the central angle θ. Find the missing quantity. Round answers to three decimal places.r = 6 feet, θ = 2 radians, s = ?
In problem, s denotes the length of the arc of a circle of radius r subtended by the central angle θ. Find the missing quantity. Round answers to three decimal places.r = 10 meters, θ = 1/2 radian, s = ?
In problem, convert each angle in radians to degrees. Express your answer in decimal form, rounded to two decimal places.√2
In problem, convert each angle in radians to degrees. Express your answer in decimal form, rounded to two decimal places.6.32
In problem, convert each angle in radians to degrees. Express your answer in decimal form, rounded to two decimal places.3
In problem, convert each angle in radians to degrees. Express your answer in decimal form, rounded to two decimal places.2
In problem, convert each angle in radians to degrees. Express your answer in decimal form, rounded to two decimal places.0.75
In problem, convert each angle in radians to degrees. Express your answer in decimal form, rounded to two decimal places.3.14
The graphs of the given pairs of functions intersect infinitely many times. Find four of these points of intersection.y = tan xy = 1
The graphs of the given pairs of functions intersect infinitely many times. Find four of these points of intersection.y = 2 sin xy = -2
The graphs of the given pairs of functions intersect infinitely many times. Find four of these points of intersection.y = cos xy = 1/2
The graphs of the given pairs of functions intersect infinitely many times. Find four of these points of intersection.y = sin xy = 1/2
Graph y = |sin x|, -2π ≤ x ≤ 2π
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