Math

CalculusCalculus: An Applied Approach (MindTap Course List)Transportation Workers The number W (in thousands) of scenic and sightseeing transportation workers employed in the United States during 2014 can be modeled by W = 31.184 + 8.447 sin ( 0.568 t − 2.595 ) where t is the time (in months), with t = 1 corresponding to January. (Source: U.S. Bureau of Labor Statistics) (a) Use a graphing utility to graph W. (b) Using the graph, did the number of scenic and sightseeing transportation workers exceed 35 thousand in 2014? If so, during which months?BuyFind*launch*

10th Edition

Ron Larson

Publisher: Cengage Learning

ISBN: 9781305860919

Chapter 8.3, Problem 79E

Textbook Problem

**Transportation Workers** The number *W* (in thousands) of scenic and sightseeing transportation workers employed in the United States during 2014 can be modeled by

*t* is the time (in months), with *t* = 1 corresponding to January. *(Source: U.S. Bureau of Labor Statistics)*

(a) Use a graphing utility to graph *W.*

(b) Using the graph, did the number of scenic and sightseeing transportation workers exceed 35 thousand in 2014? If so, during which months?

Calculus: An Applied Approach (MindTap Course List)

Ch. 8.1 - For each angle, find a coterminal angle such that...Ch. 8.1 - Convert each degree measure to radian measure. a....Ch. 8.1 - Convert each radian measure to degree measure. a....Ch. 8.1 - Find the area of an isosceles right triangle with...Ch. 8.1 - In Exercises 1 and 2, find the area of the...Ch. 8.1 - In Exercises 1 and 2, find the area of the...Ch. 8.1 - In Exercises 36, let a and b represent the lengths...Ch. 8.1 - In Exercises 36, let a and b represent the lengths...Ch. 8.1 - In Exercises 36, let a and b represent the lengths...Ch. 8.1 - In Exercises 36, let a and b represent the lengths...

Ch. 8.1 - In Exercises 36, let a and b represent the lengths...Ch. 8.1 - In Exercises 710, show that the points form the...Ch. 8.1 - In Exercises 710, show that the points form the...Ch. 8.1 - In Exercises 710, show that the points form the...Ch. 8.1 - Finding Coterminal Angles In Exercises 1-6,...Ch. 8.1 - Finding Coterminal Angles In Exercises 1-6,...Ch. 8.1 - Finding Coterminal Angles In Exercises 1-6,...Ch. 8.1 - Finding Coterminal Angles In Exercises 1-6,...Ch. 8.1 - Finding Coterminal Angles In Exercises 1-6,...Ch. 8.1 - Finding Coterminal Angles In Exercises 1-6,...Ch. 8.1 - Finding Conterminal Angles In Exercise 7-10,...Ch. 8.1 - Finding Conterminal Angles In Exercise 7-10,...Ch. 8.1 - Finding Conterminal Angles In Exercise 7-10,...Ch. 8.1 - Finding Conterminal Angles In Exercise 7-10,...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Analyzing Triangles In Exercises 33-40, solve the...Ch. 8.1 - Analyzing Triangles In Exercises 33-40, solve the...Ch. 8.1 - Analyzing Triangles In Exercises 33-40, solve the...Ch. 8.1 - Analyzing Triangles In Exercises 33-40, solve the...Ch. 8.1 - Analyzing Triangles In Exercises 33-40, solve the...Ch. 8.1 - Analyzing Triangles In Exercises 33-40, solve the...Ch. 8.1 - Analyzing triangles In Exercises 33-40, solve the...Ch. 8.1 - Analyzing Triangles In Exercises 33-40, solve the...Ch. 8.1 - Finding the Area of an Equilateral Triangle In...Ch. 8.1 - Finding the Area of an Equilateral Triangle In...Ch. 8.1 - Finding the Area of an Equilateral Triangle In...Ch. 8.1 - Finding the Area of an Equilateral Triangle In...Ch. 8.1 - Height A person 6 feet tall standing 16 feet from...Ch. 8.1 - Length A guy wire is stretched from a broadcasting...Ch. 8.1 - Arc Length In Exercises 47-50, use the following...Ch. 8.1 - Arc Length In Exercises 47-50, use the following...Ch. 8.1 - Arc Length In Exercises 47-50, use the following...Ch. 8.1 - Arc Length In Exercises 47-50, use the following...Ch. 8.1 - Speed of Revolution A Blu-ray disc can have an...Ch. 8.1 - How do you see it? Determine which angles in the...Ch. 8.1 - Area of a Sector of a Circle In Exercises 53 and...Ch. 8.1 - Area of a Sector of a Circle In Exercises 53 and...Ch. 8.1 - True or False? In Exercises 55-58, determine...Ch. 8.1 - True or False? In Exercises 55-58, determine...Ch. 8.1 - True or False? In Exercises 55-58, determine...Ch. 8.1 - True or False? In Exercises 55-58, determine...Ch. 8.2 - Let (3,1) be a point on the terminal side of , as...Ch. 8.2 - Evaluate each trigonometric function. a. sin56 b....Ch. 8.2 - Evaluate each trigonometric function. a. sin(6) b....Ch. 8.2 - Find the height of a building that casts a 75-foot...Ch. 8.2 - When the object in Example 5 is 4 feet from the...Ch. 8.2 - Solve for in each equation. 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Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Determining a Quadrant In Exercises 13-18,...Ch. 8.2 - Determining a Quadrant In Exercises 13-18,...Ch. 8.2 - Determining a Quadrant In Exercises 13-18,...Ch. 8.2 - Determining a Quadrant In Exercises 13-18,...Ch. 8.2 - Determining a Quadrant In Exercises 13-18,...Ch. 8.2 - Determining a Quadrant In Exercises 13-18,...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - 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Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Solving a Right Triangle In Exercises 43-48, solve...Ch. 8.2 - Solving a Right Triangle In Exercises 43-48, solve...Ch. 8.2 - Solving a Right Triangle In Exercises 43-48, solve...Ch. 8.2 - Solving a Right Triangle In Exercises 43-48, solve...Ch. 8.2 - Solving a Right Triangle In Exercises 43-48, solve...Ch. 8.2 - Solving a Right Triangle In Exercises 43-48, solve...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Length A 20-foot ladder leaning against the side...Ch. 8.2 - Width of a River A biologist wants to know the...Ch. 8.2 - Distance An airplane flying at an altitude of 6...Ch. 8.2 - Skateboard Ramp A skateboard ramp with a height of...Ch. 8.2 - Height A 25-meter line is used to tether a...Ch. 8.2 - Empire State Building You are standing 45 meters...Ch. 8.2 - Loading Ramp A ramp 1712 feet in length rises to a...Ch. 8.2 - Height The height of a building is 180 feet. 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Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Graphical Reasoning In Exercises 63-66, find a and...Ch. 8.3 - Graphical Reasoning In Exercises 63-66, find a and...Ch. 8.3 - Graphical Reasoning In Exercises 63-66, find a and...Ch. 8.3 - Graphical Reasoning In Exercises 63-66, find a and...Ch. 8.3 - Phase Shift In Exercises 67-70, match the function...Ch. 8.3 - Phase Shift In Exercises 6770, match the function...Ch. 8.3 - Phase Shift In Exercises 6770, match the function...Ch. 8.3 - Phase Shift In Exercises 6770, match the function...Ch. 8.3 - Writing an Equation In Exercises 71 and 72, write...Ch. 8.3 - Writing an Equation In Exercises 71 and 72, write...Ch. 8.3 - Biology: Predator-Prey Cycle The population P of a...Ch. 8.3 - Biology: Predator-Prey Cycle The population P of a...Ch. 8.3 - Music When tuning a piano, a technician strikes a...Ch. 8.3 - Health The function P=10020cos5t3 approximates the...Ch. 8.3 - Health For a person at rest, the velocity v (in...Ch. 8.3 - Health After a person exercises for a few minutes,...Ch. 8.3 - Transportation Workers The number W (in thousands)...Ch. 8.3 - Sales The snowmobile sales 5 (in units) at a...Ch. 8.3 - Physics Use the graphs below to answer each...Ch. 8.3 - Think About It Consider the function given by...Ch. 8.3 - Think About It Consider the functions given by...Ch. 8.3 - HOW DO YOU SEE IT? The normal monthly high...Ch. 8.3 - True or False? In Exercises 8588, determine...Ch. 8.3 - True or False? In Exercises 85-88, determine...Ch. 8.3 - True or False? In Exercises 85-88, determine...Ch. 8.3 - True or False? In Exercises 85-88, determine...Ch. 8.3 - In Exercises 14, convert the degree measure to...Ch. 8.3 - In Exercises 14, convert the degree measure to...Ch. 8.3 - In Exercises 14, convert the degree measure to...Ch. 8.3 - In Exercises 14, convert the degree measure to...Ch. 8.3 - In Exercises 58, convert the radian measure to...Ch. 8.3 - In Exercises 58, convert the radian measure to...Ch. 8.3 - In Exercises 58, convert the radian measure to...Ch. 8.3 - In Exercises 58, convert the radian measure to...Ch. 8.3 - In Exercises 914, evaluate the trigonometric...Ch. 8.3 - In Exercises 914, evaluate the trigonometric...Ch. 8.3 - In Exercises 914, evaluate the trigonometric...Ch. 8.3 - In Exercises 914, evaluate the trigonometric...Ch. 8.3 - In Exercises 914, evaluate the trigonometric...Ch. 8.3 - In Exercises 914, evaluate the trigonometric...Ch. 8.3 - In Exercises 15-17, solve the equation for ....Ch. 8.3 - In Exercises 15-17, solve the equation for ....Ch. 8.3 - In Exercises 15-17, solve the equation for ....Ch. 8.3 - In Exercises 18-20, solve the triangle for the...Ch. 8.3 - In Exercises 18-20, solve the triangle for the...Ch. 8.3 - In Exercises 1820, solve the triangle for the...Ch. 8.3 - A map maker needs to determine the distance d...Ch. 8.3 - In Exercises 22-24, (a) find the period of the...Ch. 8.3 - In Exercises 22-24, (a) find the period of the...Ch. 8.3 - In Exercises 22-24, (a) find the period of the...Ch. 8.3 - A company that produces snowboards forecasts...Ch. 8.4 - Differentiate each function. a. y=cos4x b....Ch. 8.4 - Differentiate each function. a. f(x)=2cosx3 b....Ch. 8.4 - Differentiate each function. a. y=sec4x b. y=cotx2Ch. 8.4 - Differentiate each function. a. f(x)=cos2x b....Ch. 8.4 - Differentiate each function. a. y=x2cosx b....Ch. 8.4 - Find the relative extrema of y=x2cosx in the...Ch. 8.4 - Find the relative extrema of y=12sin2x+cosx on the...Ch. 8.4 - Using the model from Example 8, find the rate at...Ch. 8.4 - Checkpoint 9 Worked-out solution available at...Ch. 8.4 - In Exercises 1-4, find the derivative of the...Ch. 8.4 - In Exercises 1-4, find the derivative of the...Ch. 8.4 - In Exercises 1-4, find the derivative of the...Ch. 8.4 - In Exercises 1-4, find the derivative of the...Ch. 8.4 - In Exercises 5 and 6, find all relative extrema of...Ch. 8.4 - In Exercises 5 and 6, find all relative extrema of...Ch. 8.4 - In Exercises 7-10, solve the equation for x....Ch. 8.4 - In Exercises 7-10, solve the equation for x....Ch. 8.4 - In Exercises 7-10, solve the equation for x....Ch. 8.4 - In Exercises 710, solve the equation for x. 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The graph shows the height h...Ch. 8.4 - Analyzing a Function In Exercises 75-80, use a...Ch. 8.4 - Analyzing a Function In Exercises 75-80, use a...Ch. 8.4 - Analyzing a Function In Exercises 75-80, use a...Ch. 8.4 - Analyzing a Function In Exercises 75-80, use a...Ch. 8.4 - Analyzing a Function In Exercises 75-80, use a...Ch. 8.4 - Analyzing a Function In Exercises 75-80, use a...Ch. 8.4 - True or False? In Exercises 81 84, determine...Ch. 8.4 - True or False? In Exercises 81 84, determine...Ch. 8.4 - True or False? In Exercises 81 84, determine...Ch. 8.4 - True or False? In Exercises 81 84, determine...Ch. 8.5 - Find 5sinxdx.Ch. 8.5 - Find each indefinite integral. a. 4x3cosx4dx b....Ch. 8.5 - Find 2csc2xcot2xdx.Ch. 8.5 - Find cos32xsin2xdx.Ch. 8.5 - Find cosxsinxdx.Ch. 8.5 - Find 0/2sin2xdxCh. 8.5 - Find the area of the region bounded by the graphs...Ch. 8.5 - Find sec2xdx.Ch. 8.5 - Use the temperature function T in Example 9 to...Ch. 8.5 - In Exercise 1-8, evaluate the trigonometric...Ch. 8.5 - In Exercise 1-8, evaluate the trigonometric...Ch. 8.5 - In Exercise 1-8, evaluate the trigonometric...Ch. 8.5 - In Exercise 1-8, evaluate the trigonometric...Ch. 8.5 - In Exercise 1-8, evaluate the trigonometric...Ch. 8.5 - In Exercise 1-8, evaluate the trigonometric...Ch. 8.5 - In Exercise 1-8, evaluate the trigonometric...Ch. 8.5 - In Exercise 1-8, evaluate the trigonometric...Ch. 8.5 - In Exercises 9-16, simplify the expression using...Ch. 8.5 - In Exercises 9-16, simplify the expression using...Ch. 8.5 - In Exercises 9-16, simplify the expression using...Ch. 8.5 - 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Transportation Workers The number W (In thousands)...Ch. 8.5 - Cost The temperature T (in degrees Fahrenheit) in...Ch. 8.5 - Water Supply The flow rate R (in thousands of...Ch. 8.5 - Sales In Example 8 in Section 8.4, the sales of a...Ch. 8.5 - HOW DO YOU SEE IT? 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Finding the Period and Amplitude In Exercises...Ch. 8 - Finding the Period and Amplitude In Exercises...Ch. 8 - Finding the Period and Amplitude In Exercises...Ch. 8 - Graphing a Trigonometric Function In Exercises...Ch. 8 - Graphing a Trigonometric Function In Exercises...Ch. 8 - Graphing a Trigonometric Function In Exercises...Ch. 8 - Graphing a Trigonometric Function In Exercises...Ch. 8 - Graphing a Trigonometric Function In Exercises...Ch. 8 - Graphing a Trigonometric Function In Exercises...Ch. 8 - Graphing a Trigonometric Function In Exercises...Ch. 8 - Graphing a Trigonometric Function In Exercises...Ch. 8 - Seasonal Sales The jet ski sales S (in units) of a...Ch. 8 - Seasonal Sales The bathing suit sales 5 (in...Ch. 8 - Differentiating trigonometric Functions In...Ch. 8 - Differentiating trigonometric Functions In...Ch. 8 - Differentiating trigonometric Functions In...Ch. 8 - Differentiating trigonometric Functions In...Ch. 8 - Differentiating trigonometric Functions In...Ch. 8 - 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Electricity The oscillating current in an...Ch. 8 - In Exercises 16, copy and complete the table. 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