Skip to main content

Bartleby Sitemap - Textbook Solutions

All Textbook Solutions for Precalculus: Mathematics for Calculus - 6th Edition

1RCC 2RCC 3RCC 4RCC 5RCC 6RCC 7RCC 8RCC 9RCC 10RCC 11RCC 12RCC 13RCC 14RCC 15RCC 16RCC 17RCC 18RCC 19RCC 20RCC 21RCC 22RCC 23RCC 24RCC How do you find x-intercepts and y-intercepts of a graph of an equation?26RCC 27RCC 28RCC 29RCC 30RCC 31RCC 32RCC 33RCC 1RE 2RE 3RE 4RE 5RE 6RE 7RE 8RE 9RE 10RE 11RE 12RE 13RE 14RE 15RE 16RE 17RE 18RE 19RE 20RE 21RE 22RE 23RE 24RE 25RE 26RE 27RE 28RE 29RE 30RE 31RE 32RE 33RE 34RE 35RE 36RE 37RE 38RE 39RE 40RE 41RE 42RE 43RE 44RE 45RE 46RE 47RE 48RE 49RE 50RE 51RE 52RE 53RE 54RE 55RE 56RE 57RE 58RE 59RE 60RE 61RE 62RE 63RE 64RE 65RE 66RE 67RE 68RE 69RE 70RE 71RE 72RE 73RE 74RE 75RE 76RE 77RE 78RE 79RE 80RE 81RE 82RE 83RE 84RE 85RE 86RE 87RE 88RE 89RE 90RE 91RE 92RE 93RE 94RE 95RE 96RE 97RE 98RE 99RE 100RE 101RE 102RE 103RE 104RE 105RE 106RE 107RE 108RE 109RE 110RE 111RE 112RE 113RE 114RE 115RE 116RE 117RE 118RE 119RE 120RE 121RE 122RE 123RE 124RE 125RE 126RE 127RE 128RE 129RE 130RE 131RE 132RE 133RE 134RE 135RE 136RE 137RE 138RE (a) Graph the intervals (5, 3] and (2, ) on the real number line. (b) Express the inequalities x 3 and 1 x 4 in interval notation. (c) Find the distance between 7 and 9 on the real number line.2T Write each number in scientific notation. (a) 186,000,000,000 (b) 0.0000003965 Simplify each expression. Write your final answer without negative exponents. (a) 20032 (b) (3a3b3)(4ab2)2 (c) (3x3/2y3x2y1/2)2 (d) x2+3x+2x2x2 (e) x2x24x+1x+2 (f) yxxy1y1x 5T 6T 7T 8T Mary drove from Amity to Belleville at a speed of 50 mi/h. On the way back, she drove at 60 mi/h. The total trip took 425 h of driving time. Find the distance between these two cities.10T 11T A bottle of medicine is to be stored at a temperature between 5C and 10C. What range does this correspond to on the Fahrenheit scale? [Note: Fahrenheit (F) and Celsius (C) temperatures satisfy the relation C=59(F32).]13T 14T (a) Plot the points P(0, 3), Q(3, 0), and R(6, 3) in the coordinate plane. Where must the point S be located so that PQRS is a square? (b) Find the area of PQRS.16T 17T 18T Write the linear equation 2x 3y = 15 in slope-intercept form, and sketch its graph. What are the slope and y-intercept?20T A geologist measures the temperature T (in C) of the soil at various depths below the surface and finds that at a depth of x cm, the temperature is given by T = 0.08x 4. (a) What is the temperature at a depth of 1 m (100 cm)? (b) Sketch a graph of the linear equation. (c) What do the slope, the x-intercept, and T-intercept of the graph represent?The maximum weight M that can be supported by a beam is jointly proportional to its width w and the square of its height h and inversely proportional to its length L. (a) Write an equation that expresses this proportionality. (b) Determine the constant of proportionality if a beam 4 in. wide, 6 in. high, and 12 ft long can support a weight of 4800 lb. (c) If a 10-ft beam made of the same material is 3 in. wide and 10 in. high, what is the maximum weight it can support?Femur Length and Height Anthropologists use a linear model that relates femur length to height. The model allows an anthropologist to determine the height of an individual when only a partial skeleton (including the femur) is found. In this problem we find the model by analyzing the data on femur length and height for the eight males given in the table. (a) Make a scatter plot of the data. (b) Find and graph a linear function that models the data. (c) An anthropologist finds a femur of length 58 cm. How tall was the person? Femur length (cm) Height (cm) 50.1 178.5 48.3 173.6 45.2 164.8 44.7 163.7 44.5 168.3 42.7 165.0 39.5 155.4 38.0 155.8 Demand for Soft Drinks A convenience store manager notices that sales of soft drinks are higher on hotter days, so he assembles the data in the table. (a) Make a scatter plot of the data. (b) Find and graph a linear function that models the data. (c) Use the model to predict soft drink sales if the temperature is 95F. High temperature (F) Number of cans sold 55 340 58 335 64 410 68 460 70 450 75 610 80 735 84 780 3P 4P 5P 6P 7P Noise and Intelligibility Audiologists study the intelligibility of spoken sentences under different noise levels. Intelligibility, the MRT score, is measured as the percent of a spoken sentence that the listener can decipher at a certain noise level in decibels (dB). The table shows the results of one such test. (a) Make a scatter plot of the data. (b) Find and graph the regression line. (c) Find the correlation coefficient. Is a linear model appropriate? (d) Use the linear model in part (b) to estimate the intelligibility of a sentence at a 94-dB noise level. Noise level (dB) MRT score (%) 80 99 84 91 88 84 92 70 96 47 100 23 104 11 Life Expectancy The average life expectancy in the United States has been rising steadily over the past few decades, as shown in the table. (a) Make a scatter plot of the data. (b) Find and graph the regression line. (c) Use the linear model you found in part (b) to predict the life expectancy in the year 2006. (d) Search live Internet or your campus library to find the actual 2006 average life expectancy. Compare to your answer in part (c). Year Life expectancy 1920 54.1 1930 59.7 1940 62.9 1950 68.2 1960 69.7 1970 70.8 1980 73.7 1990 75.4 2000 76.9 10P 11P 12P 13P Give an example of each of the following: (a) A natural number (b) An integer that is not a natural number (c) A rational number that is not an integer (d) An irrational number Complete each statement and name the property of real numbers you have used. (a) ab = __________; __________ Property (b) a + (b + c) = __________; __________ Property (c) a(b + c) = __________; __________ Property 3E The symbol | x | stands for the __________of the number x. If x is not 0, then the sign of | x | is always __________.5E 6E 7E 8E 9E 10E 11E 12E 13E 14E 15E 16E 17E 18E 19E 20E 21E 22E 23E 24E 25E 26E 27E 28E 29E 30E 31E 32E 33E 34E 35E 36E 37E 38E 39E 40E 41E 42E 43E 44E 45E 46E 47E 48E 49E 50E 51E 52E 53E 54E 55E 56E 57E 58E 59E 60E 61E 62E 63E 64E 65E 66E 67E 68E 69E 70E 71E 72E 73E 74E 75E 76E Area of a Garden Marys backyard vegetable garden measures 20 ft by 30 ft, so its area is 20 30 = 600 ft2. She decides to make it longer, as shown in the figure, so that the area increases to A = 20(30 + x). Which property of real numbers tells us that the new area can also be written A = 600 + 20x?Temperature Variation The bar graph shows the daily high temperatures for Omak, Washington, and Geneseo, New York, during a certain week in June. Let TO represent the temperature in Omak and TG the temperature in Geneseo. Calculate TO TG and |TO TG| for each day shown. Which of these two values gives more information?Mailing a Package The post office will accept only packages for which the length plus the girth (distance around) is no more than 108 in. Thus for the package in the figure, we must have L+2(x+y)108 (a) Will the post office accept a package that is 6 in. wide, 8 in. deep, and 5 ft long? What about a package that measures 2 ft by 2 ft by 4 ft? (b) What is the greatest acceptable length for a package that has a square base measuring 9 in. by 9 in.?80E 81E 82E 83E 84E 85E (a) Using exponential notation, we can write the product 5 5 5 5 5 5 as __________. (b) In the expression 34 the number 3 is called the __________, and the number 4 is called the __________.(a) When we multiply two powers with the same base, we __________ the exponents. So 34 35 = __________. (b) When we divide two powers with the same base, we __________ the exponents. So 3532=.3E Explain what 43/2 means, then calculate 43/2 in two different ways: (41/2)=or(43)=Explain how we rationalize a denominator, then complete the following steps to rationalize 13: 13=13=Find the missing power in the following calculation: 51/35=5.7E 8E 9E

Page: [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]