Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for Trigonometry (MindTap Course List)
13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47E48E49E50E51E52E53E54E55E56E57EFinding an Inverse Function In Exercises 55-70, determine whether the function has an inverse function. If it does, find the inverse function. fx=3x+559E60E61E62E63E64E65E66E67E68E69E70E71E72E73E74E75E76E77E78E79E80E81E82E83E84E85E86E87E88EHourly Wage Your wage is $10.00 per hour plus $0.75 for each unit produced per hour. So, your hourly wage y in terms of the number of units produced x is y=10+0.75x. (a) Find the inverse function. What does each variable represent in the inverse function? (b) Determine the number of units produced when your hourly wage is $24.25.90E91ETrue or False? In Exercises 91 and 92, determine whether the statement is true or false. Justify your answer. If the inverse function of f exists and the graph of f has a y-intercept, then the y-intercept of f is an x-intercept of f1.93E94E95E96E97E98E99EHOW DO YOU SEE IT? The cost C for a business to make personalized T-shirts is given by Cx=7.50x+1500 where x represents the number of T-shirts. The graphs of C and C1 are shown below. Match each function with its graph. Explain what C(x) and C1(x) represent in the context of the problem.101E102E1RE2RE3RE4RE5RE6RE7REUsing Absolute Value Notation In Exercises 7 and 8, use absolute value notation to describe the situation. The distance between x and 25 is no more than 10.9RE10RE11RE12RE13RE14RE15RE16RE17RE18RE19RE20RE21RE22RE23RE24RE25RE26RE27RE28RE29RE30RE31RE32RE33RE34RE35RE36RE37RE38RE39RE40RE41RE42RE43RE44RE45RE46RE47RE48RE49RE50RE51RE52RE53RE54RE55RE56RE57RE58RE59RE60RE61RE62RE63RE64RE65RE66RE67RE68RESales A discount outlet offers a 20 discount on all items. Write a linear equation giving the sale price S for an item with a list price L.70RE71RE72RE73RE74RE75REEvaluating a Function In Exercises 75 and 76, find each function value. hx=x2ah4(b)h2ch0dhx+277RE78RE79RE80RE81RE82RE83REFinding the Zeros of a Function In Exercises 83 and 84, find the zeros of the function algebraically. fx=x3x22x+185RE86RE87RE88RE89REAverage Rate of Change of a Function In Exercises 89 and 90, find the average rate of change of the function from x1 to x2. fx=x3+2x+1,x1=1,x2=391RE92RE93RE94RE95RE96REGraphing a Function In Exercises 97-100, sketch the graph of the function. gx=x298RE99REGraphing a Function In Exercises 97-100, sketch the graph of the function. fx=2x+1,x2x2+1,x2Describing Transformations In Exercises 101-110, h is related to one of the parent functions described in this chapter. (a) Identify the parent function f. (b) Describe the sequence of transformations from f to h. (c) Sketch the graph of h. (d) Use function notation to write h in terms of f. hx=x29102RE103RE104RE105RE106RE107RE108RE109RE110RE111RE112RE113RE114RERetail In Exercises 115 and 116, the price of a washing machine is x dollars. The function fx=x100 gives the price of the washing machine after a $100 rebate. The function gx=0.95x gives the price of the washing machine after a 5 discount. Find and interpret fgx.Retail In Exercises 115 and 116, the price of a washing machine is x dollars. The function fx=x100 gives the price of the washing machine after a $100 rebate. The function gx=0.95x gives the price of the washing machine after a 5% discount. Find and interpret gfx.117RE118RE119RE120RE121RE122RE123RE124RE125RE126REPlace the appropriate inequality symbol or between the real numbers 103 and 53.Take this test as you would take a test in class. When you are finished, check your work against the answers given in the back of the book. Find the distance between the real numbers 74and54.3T4TIn Exercises 4-7, solve the equation and check your solution. (If not possible, explain why.) x4x+2=76TIn Exercises 4-7, solve the equation and check your solution. (If not possible, explain why.) 3x1=78T9TExercises 9-11, find any intercepts and test for symmetry. The sketch the graph of the equation. y=434x11T12TIn Exercises 13 and 14, find an equation of the line passing through the pair of points. Sketch the line. 2,5,1,7In Exercises 13 and 14, find an equation of the line passing through the pair of points. Sketch the line. 4,7,1,4315T16TIn Exercises 17-19, (a) use a graphing utility to graph the function, (b) find the domain of the function, (c) approximate the open intervals on which the function is increasing, decreasing, or constant, and (d) determine whether the function is even, odd, or neither. fx=x+5In Exercises 17-19, (a) use a graphing utility to graph the function, (b) find the domain of the function, (c) approximate the open intervals on which the function is increasing, decreasing, or constant, and (d) determine whether the function is even, odd, or neither. fx=4x3xIn Exercises 17-19, (a) use a graphing utility to graph the function, (b) find the domain of the function, (c) approximate the open intervals on which the function is increasing, decreasing, or constant, and (d) determine whether the function is even, odd, or neither. fx=2x6+5x4x2In Exercises 20-22, (a) identify the parent function f in the transformation, (b) describe the sequence of transformations from ftoh, and (c) sketch the graph of h. hx=4x21T22T23T24T25T26T27T1PS2PS3PS4PS5PSMiniature Golf A golfer is trying to make a hole-in-one on the miniature golf green shown. The golf ball is at the point 2.5,2 and the hole is at the point (9.5, 2). The golfer wants to bank the ball off the sidewall of the green at the point x,y. Find the coordinates of the point x,y. Then write an equation for the path of the ball.Titanic At 2:00 p.m. on April 11, 1912, the Titanic left Cobh, Ireland, on her voyage to New York City. At 11:40 p.m. on April 14, the Titanic struck an iceberg and sank, having covered only about 2100 miles of the approximately 3400-mile trip. (a) What was the total duration of the voyage in hours? (b) What was the average speed in miles per hour? (c) Write a function relating the distance of the Titanic from New York City and the number of hours traveled. Find the domain and range of the function. (d) Graph the function in part (c).8PS9PS10PS11PS12PS13PS14PS15PSDetermine two coterminal angles (one positive and one negative) for each angle. a. =94 b. =32ECPConvert each degree measure to radian measure as a multiple of . Do not use a calculator. a. 60 b. 3204ECPA circle has a radius of 27 inches. Find the length of the arc intercepted by a central angle of160 .The second hand of a clock is 8 centimeters long. Find the linear speed of the tip of the second hand as it passes around the clock face.The circular blade on a saw has a radius of 4 inches and it rotates at 2400 revolutions per minute. a. Find the angular speed of the blade in radians per minute. b. Find the linear speed of the edge of the blade.8ECPFill in the blanks. Two angles that have the same initial and terminal sides are ________.2E3E4EFill in the blanks. The ________ speed of a particle is the ratio of the change in the central angle to the elapsed time.Fill in the blanks. The area A of a sector of a circle with radius r and central angle , where is measured in radians, is given by the formula ________.Estimating an Angle In Exercises 7-10, estimate the angle to the nearest one-half radian.Estimating an Angle In Exercises 7-10, estimate the angle to the nearest one-half radian.Estimating an Angle In Exercises 7-10, estimate the angle to the nearest one-half radian.Estimating an Angle In Exercises 7-10, estimate the angle to the nearest one-half radian.Determining Quadrants In Exercises 11 and 12, determine the quadrant in which each angle lies. (a) 4 (b) 54Determining Quadrants In Exercises 11 and 12, determine the quadrant in which each angle lies. (a) 6 (b) 119Sketching Angles In Exercises 13 and 14, sketch each angle in standard position. a3b23Sketching Angles In Exercises 13 and 14, sketch each angle in standard position. (a)52(b)4Finding Coterminal Angles In Exercises 15 and 16, determine two coterminal angles (one positive and one negative) for each angle. Give your answers in radians. (a) 6 (b) 56Finding Coterminal Angles In Exercises 15 and 16, determine two coterminal angles (one positive and one negative) for each angle. Give your answers in radians. (a) 23 (b) 94Complementary and Supplementary Angles In Exercises 17-20, find (if possible) the complement and supplement of each angle. (a) 12 (b) 1112Complementary and Supplementary Angles In Exercises 17-20, find (if possible) the complement and supplement of each angle. (a) 3 (b) 4Complementary and Supplementary Angles In Exercises 17-20, find (if possible) the complement and supplement of each angle. (a) 1 (b) 2Complementary and Supplementary Angles In Exercises 17-20, find (if possible) the complement and supplement of each angle. (a) 3 (b) 1.521E22E23E24E25EDetermining Quadrants In Exercises 25 and 26, determine the quadrant in which each angle lies. (a) 13250 (b) 3.4Sketching Angles In Exercises 27 and 28, sketch each angle in standard position. a270b12028E29E30E31E32E33E34E