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mathematics
precalculus
Precalculus 9th edition Michael Sullivan - Solutions
Graph y = |cos x|, -2π ≤ x ≤ 2π.
Biorhythms In the theory of biorhythms, a sine function of the formP(t) = 50 sin(ωt) + 50is used to measure the percent P of a person's potential at time t, where t is measured in days and t = 0 is the person's birthday. Three characteristics are commonly measured:Physical potential: period of 23
A one-lane highway runs through a tunnel in the shape of one-half a sine curve cycle. The opening is 28 feet wide at road level and is 15 feet tall at its highest point.(a) Find an equation for the sine curve that fits the opening. Place the origin at the left end of the sine curve.(b) If the road
The voltage V produced by an ac generator is sinusoidal. As a function of time, the voltage V isV(t) = V0 sin(2π ft)where f is the frequency, the number of complete oscillations (cycles) per second. [In the United States and Canada, f is 60 hertz (Hz).] The power P delivered to a resistance R at
The voltage V, in volts, produced by an ac generator at time t, in seconds, is(a) What is the amplitude? What is the period?(b) Graph V over two periods, beginning at t = 0.(c) If a resistance of R = 20 ohms is present, what is the current I?(d) What is the amplitude and period of the current I
Find an equation for graph. -4т -2п 10пх 2т 6п
Find an equation for graph. УА 6 8 10 x -4 -2 2 -5-
The voltage V, in volts, produced by an ac generator at time t, in seconds, isV(t) = 220 sin(120πt)(a) What is the amplitude? What is the period?(b) Graph V over two periods, beginning at t = 0.(c) If a resistance of R = 10 ohms is present, what is the current I?(d) What is the amplitude and
The current I, in amperes, flowing through an ac (alternating current) circuit at time t in seconds, isI(t) = 120 sin(30πt) t ≥ 0What is the period? What is the amplitude? Graph this function over two periods.
The current I, in amperes, flowing through an ac (alternating current) circuit at time t in seconds, isI(t) = 220 sin(60π) t ≥ 0What is the period? What is the amplitude? Graph this function over two periods.
Find the average rate of change of f from 0 to π/2.f(x) = cos(2x)
Find the average rate of change of f from 0 to π/2.f(x) = sin(x/2)
Find the average rate of change of f from 0 to π/2.f(x) = cos x
Find the average rate of change of f from 0 to π/2.f(x) = sin x
Find an equation for graph. 4 -4
Find an equation for graph. 3 -4 4,
Find an equation for graph. -2 -2 2. 2.
Find an equation for graph. 3 -2 6 -3
Find an equation for graph. 2т 2п 4п 3 3
Find an equation for graph. Уд 2 m/2
Find an equation for graph. т 2т п TT
Find an equation for graph. Уд 2п 2п 4т -1 3 3
Find an equation for graph. 2
Find an equation for graph. হ োক
Find an equation for graph. 2 3 -2- 4)
Find an equation for graph. У ЗН -2 т 2т 4т
A neighborhood carnival has a Ferris wheel whose radius is 30 feet.You measure the time it takes for one revolution to be 70 seconds.What is the linear speed (in feet per second) of this Ferris wheel? What is the angular speed in radians per second?
Pulleys Two pulleys, one with radius 2 inches and the other with radius 8 inches, are connected by a belt. (See the figure.) If the 2-inch pulley is caused to rotate at 3 revolutions per minute, determine the revolutions per minute of the 8-inch pulley. 8 in. 2 in.
Speed of Earth The mean distance of Earth from the Sun is 9.29 × 107 miles. Assuming that the orbit of Earth around the Sun is circular and that 1 revolution takes 365 days, find the linear speed of Earth. Express your answer in miles per hour.
Speed of the Moon The mean distance of the moon from Earth is 2.39 × 105 miles. Assuming that the orbit of the moon around Earth is circular and that 1 revolution takes 27.3 days, find the linear speed of the moon. Express your answer in miles per hour.
Linear Speed on Earth Earth rotates on an axis through its poles. The distance from the axis to a location on Earth 400 north latitude is about 3033.5 miles. Therefore, a location on Earth at 40° north latitude is spinning on a circle of radius 3033.5 miles. Compute the linear speed on the surface
Linear Speed on Earth Earth rotates on an axis through its poles. The distance from the axis to a location on Earth 300 north latitude is about 3429.5 miles. Therefore, a location on Earth at 300 north latitude is spinning on a circle of radius 3429.5 miles. Compute the linear speed on the surface
Distance between Cities Charleston, West Virginia, is due north of Jacksonville, Florida. Find the distance between Charleston (38°21' north latitude) and Jacksonville (30°20' north latitude). Assume that the radius of Earth is 3960 miles.In problem, the latitude of a location L is the angle
Distance between Cities Memphis, Tennessee, is due north of New Orleans, Louisiana. Find the distance between Memphis (35°9' north latitude) and New Orleans (29°57' north latitude). Assume that the radius of Earth is 3960 miles.In problem, the latitude of a location L is the angle formed by a ray
The radius of each wheel of a car is 15 inches. If the wheels are turning at the rate of 3 revolutions per second, how fast is the car moving? Express your answer in inches per second and in miles per hour.
The diameter of each wheel of a bicycle is 26 inches. If you are traveling at a speed of 35 miles per hour on this bicycle, through how many revolutions per minute are the wheels turning? molyetat
An object is traveling around a circle with a radius of 2 meters. If in 20 seconds the object travels 5 meters, what is its angular speed? What is its linear speed?
An object is traveling around a circle with a radius of 5 centimeters. If in 20 seconds a central angle 1/3 of radian is swept out, what is the angular speed of the object? What is its linear speed?
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 = 2 inches, θ = 30°, A = ?
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 = 3 meters, θ = 120°, A = ?
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 = 6 meters, A = 8 square meters, θ = ?
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 = 5 miles, A = 3 square miles, θ = ?
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.θ = 1/4 radian, A = 6 square centimeters, r = ?
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.θ = 1/3 radian, A = 2 square feet, r = ?
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 = 6 feet, θ = 2 radians, A = ?
Match the given function to one of the graphs (A)–(D). y = -3 sin 2° 3 3 3 8т 2 2T 8т -3 -3 -3 -3 (A) (B) (C) (D)
Match the given function to one of the graphs (A)–(D).y = 3 sin(2x) 3 3 3 8т 2 2T 8т -3 -3 -3 -3 (A) (B) (C) (D)
Match the given function to one of the graphs (A)–(D).y = -3 sin(2x) 3 3 3 8т 2 2T 8т -3 -3 -3 -3 (A) (B) (C) (D)
Match the given function to one of the graphs (A)–(J).y = 3 sin(2x) УА УА УА 2 -2 /4п -2 -2T 4п 4п -2 (B) (A) (C) УА y. 2 for -2T/ 3 4 3 4 5 2 Зп 5т X 5 X TT -2 (D) (E) (F) y. 3 У y. 3 2 Зт TT 2 4 5TT т п TT -2 (G) (H) (1) Уд Зп 5TT X п (J) Eч
Match the given function to one of the graphs (A)–(J). y = 2 sin УА УА УА 2 -2 4п -2 /4п -2T 4п -2 (A) (B) (C) УА y. 2 for -2T/ Зп 5т X 3 4 5 2 3 4 5 X TT -2 (D) (E) (F) y. 3 У y. 3 2 2 4 т Зт TT 5TT п TT -2 (G) (H) (1)
Determine the amplitude and period of each function without graphing. 3. cos Cos x y =
Find the exact value of each of the remaining trigonometric functions of θ. 2 3' sin 0 = 2
Find the exact value of each of the remaining trigonometric functions of θ. cos8= 3 Solve for sin sin0+ cos 0 = 1 : tan 8 = csc 8= sec 8= Since is in quadrant II, sin > 0. sin 0 =1-cos0 cot 8 = I -4-9-4-4-4 HD- = 22 3 A sin 8 cos sin 8 2 1 cose
Find the exact value of each of the remaining trigonometric functions of θ. cos 0 = 4 + lin 5' 270 < < 360
Find the exact value of each of the remaining trigonometric functions of θ. sin 0 = 5 13' 90 0 180
Find the exact value of each of the remaining trigonometric functions of θ.sin θ = -5/13, θ in quadrant III
Find the exact value of each of the remaining trigonometric functions of θ.cos θ = -4/5, θ in quadrant III
Find the exact value of each of the remaining trigonometric functions of θ.cos θ = 5/3, θ in quadrant IV
In problem, find the exact value of each of the remaining trigonometric functions of θ.sin θ = 12/13, θ in quadrant II
In problem, sin θ and cos θ are given. Find the exact value of each of the four remaining trigonometric functions. sin 0 2 cos e 3 3
In problem, sin θ and cos θ are given. Find the exact value of each of the four remaining trigonometric functions. sin 0 21 cos e 3' 3
In problem, sin θ and cos θ are given. Find the exact value of each of the four remaining trigonometric functions. V3 sin 0 = 2 cos e 2
In problem, sin θ and cos θ are given. Find the exact value of each of the four remaining trigonometric functions. V3 sin 2' cos e = 2 2.
In problem, sin θ and cos θ are given. Find the exact value of each of the four remaining trigonometric functions. V5 2V5 5 sin 0 cos e
In problem, sin θ and cos θ are given. Find the exact value of each of the four remaining trigonometric functions. V5 sin 0 cos e 5. 5.
In problem, sin θ and cos θ are given. Find the exact value of each of the four remaining trigonometric functions. 4 sin 0 5' 5 cos e in
In problem, sin θ and cos θ are given. Find the exact value of each of the four remaining trigonometric functions. 3 cos e 4 sin 0 = 5'
Name the quadrant in which the angle θ lies.csc θ > 0, cos θ < 0
Name the quadrant in which the angle θ lies.sec θ < 0, sin θ > 0
Name the quadrant in which the angle θ lies.cos θ < 0, tan θ > 0
Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.cot 17π/4
Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.tan 405°
Show that the period of f(θ) = cot θ is π.
Is the cosine function even, odd, or neither? Is its graph symmetric? With respect to what?
Is the sine function even, odd, or neither? Is its graph symmetric? With respect to what?
Use the even–odd properties to find the exact value of each expression. Do not use a calculator.cos(-π/4)
Use the even–odd properties to find the exact value of each expression. Do not use a calculator.sin(-π)
Use the even–odd properties to find the exact value of each expression. Do not use a calculator.tan(-π/4)
Use the even–odd properties to find the exact value of each expression. Do not use a calculator.cos(-270°)
Use the even–odd properties to find the exact value of each expression. Do not use a calculator.sin(-90°)
Use the even–odd properties to find the exact value of each expression. Do not use a calculator.csc(-30°)
Use the even–odd properties to find the exact value of each expression. Do not use a calculator.sec(-60°)
Use the even–odd properties to find the exact value of each expression. Do not use a calculator.sin(-135°)
Use the even–odd properties to find the exact value of each expression. Do not use a calculator.tan(-30°)
Use the even–odd properties to find the exact value of each expression. Do not use a calculator.cos(-30°)
Use the even–odd properties to find the exact value of each expression. Do not use a calculator.sin(-60°)
Find the exact value of each of the remaining trigonometric functions of θ.sec θ = -2, tan θ > 0
Find the exact value of each of the remaining trigonometric functions of θ. tan 0 = 3 sin e > 0 0
Find the exact value of each of the remaining trigonometric functions of θ. cot 0 = 4 3' cos 0 0
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 5 х 2 2 cos 5
Find the exact value of each of the remaining trigonometric functions of θ. tan 0 = 3 4' sin 0 < 0
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. 5 3 2т - х 3 sin y =
Find the exact value of each of the remaining trigonometric functions of θ.csc θ = 3, cot θ < 0
Find the exact value of each of the remaining trigonometric functions of θ.sec θ = 2, sin θ < 0
GraphDo you think that y = tan x and y = -cot x + 2 TT tan x = -cot x +
Find the exact value of each of the remaining trigonometric functions of θ. cos 0 = 1 tan 0 > 0
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 2 - |
Find the exact value of each of the remaining trigonometric functions of θ. sin 0 = 2 3' tan 0 < 0
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 %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 = 5 cos(πx) -3
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![[V(t)]² P(t) = R](https://dsd5zvtm8ll6.cloudfront.net/si.question.images/images/question_images/1547/8/2/5/6735c41f209449871547855220154.jpg)
