(Test Bank) Technical Mathematics With Calculus, Canadian Edition

Calter,Calter,Wraight,Spencer, 2

Math & Statistics

Test Bank

2nd Edition

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Test Bank for Technical Mathematics With Calculus, Canadian Edition, The downloadable file consists of 509 pages, and the total size of the file is 6.65 MB. Purchase now only for highly discounted price.

Author(s): Calter, Calter, Wraight, Spencer

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Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed 1 Name _________________________ 1. Insert the proper sign of equality or inequality (=, , >, <) between the pair of numbers: 1/3 ____ .333 2. Insert the proper sign of equality or inequality (=, , >, <) between the pair of numbers: -0.5 ____ -2/3 3. Insert the proper sign of equality of inequality (=, , >, <) between the pair of numbers: 0.31 ____ −0.313 4. Evaluate the expression: |27 - 9| - |-11 - 6| 5. Evaluate the expression: -|6 - 7| + |-3 - 4| 6. Evaluate the expression: −|4 + 1| − |−4 + 1| 7. Round each number to two decimal places . (a) 23.746 (b) 54.995 001 (c) 94.355 8. Round each number to two significant digits. (a) 80.60 (b) 523.905 (c) 72.164 9. Round each number to the nearest thousand. (a) 657 495 (b) 4500.1 (c) 4500 10. Determine the number of significant digits in each approximate number. (a) 0.076 (b) 14 200 (c) 5.089 (d) 0.540 11. Determine the number of significant digits in each approximate number. (a) 50.5 (b) 0.03 (c) 30.0 (d) 1000 Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed 2 12. Combine these approximate numbers and round appropriately: 8235.4 + 98 13. Combine these approximate numbers and round appropriately: 696 + 15.2 14. Combine these approximate numbers and round appropriately: −60.6 − (−1.21) 15. An ocean liner sailed 715 nautical miles in one day and 689 in the next. How many nautical miles did the liner sail all together? 16. Maria has exactly $1500 available for monthly expenses. She spent $479 on transportation, $268 on food, and $317 for rent . Determine the amount remaining in her ac count. 17. The changes in tide in the Bay of Fundy were measured at Parrsborro, Nova Scotia. At 6 a.m., the water level was 1.5 m. By 9 a.m. it has risen 6.3 m, and by noon it has risen another 4.6 m. The last mea surement at 4 p.m. was 8.0 m lower than the noon level . What was the water level at 4 p.m.? 18. Multiply these approximate numbers and keep the proper number of significant digits in your answer : 0.2001  3.49 19. Multiply these approximate numbers and keep the proper number of significant digits in your answer : 5.300  (-8.72) 20. Multiply these approximate numbers and keep the proper number of significant digits in your answer: 67 000  23.54  6.712 21. Two cars are exactly 1000 km apart. They have to meet each other within 9 hours. If they both start at the same time and one car drives at 90.3 km/h and the other car at 88.7 km/h, will they meet each other in time? 22. If one tidal turbine in the Bay of Fundy can generate 4555 MWh of electrical energy in one year, how much energy can 250 turbines generate in one year? 23. Divide, and then round your answer to the proper number of digits: -629.5 ÷ -89.34 24. Divide, and then round your answer to the proper number of digits: -34 825 ÷ 6592.3 25. A beverage company produces 15 650 cans of pop monthly. How many 12 -can cartons can be completely filled and how many cans will be left over? 26. Find the reciprocal of the following number, keeping the appropriate number of digits in your answer: 1503.0 27. Find the reciprocal of the following number, keeping the appropriate number of digits in your answer: -12.5 Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed 3 28. What volume of silver is needed to make a silver electrode weighing 155 g if the density of silver is 10.49 g/cm3? 29. For capacitors wired in series, the equivalent capacitance is calculated using 1 𝐶=1 𝐶1+1 𝐶2.(See Eq. A72.) What is C if C1 = 24 microfarads ( F) and C2 = 15 F? 30. The half-life of a chemical reaction, 𝑡12⁄ , is the time it takes for half of the original substance to react. For certain reactions, the half -life is found by the equation 𝑡12⁄=1 𝑘𝐶0 seconds, where k is a constant (different for each reaction) and C0 is the original concentration of reactant. Find 𝑡12⁄ if k = 0.487 and C0 = 1.201. 31. Evaluate each power without using a calculator . Do not round your answers. (a) 6² (b) (-1)70 (c) 10-2 32. Evaluate each power without using a calculator . (a) 15 (b) (-2)3 (c) 10-4 33. Evaluate each expression , retaining the proper number of digits in your answer. (a) (4.25)-2 (b) (53.8)2/5 34. Evaluate each expression , retaining the proper number of digits in your answer. (a) (4.99)2 (b) (14.05)-0.35 35. Evaluate each radical without using your calculator . (a) √83 (b) √−273 (c) √164 36. Evaluate each radical, retaining the correct number of digits in your answer. (a) √6.08 (b) √0.0563 (c) √−6.3015 37. The moment of inertia of a solid sphere with mass M and radius R is 2𝑀𝑅2 5. Therefore, the moment of inertia of a sphere with a mass of 12.0 kg and a radius of 5.29 m is (2/5)(12.0)(5.29 )2 kgm². Calculate this moment of inertia. 38. The Pythagorean theorem says that the length of the hypotenuse is the root of the sum of the squares of the two legs. Therefore, the length of the hypotenuse of a right triangle with legs 178.2 cm and 78.4 cm long is √(178 .2)2 + (78.4)2. Calculate this leng th. Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed 4 39. The radius of a sphere with volume 13.1 m3 is equal to √3(13.1) 4𝜋3. Calculate this radius. 40. Perform each computation , keeping the proper number of digits in your answer. (a) (24.5  0.040) + (12.5  0.13) (b) 7.26 3.15−4.902 3.85+9.27 6.52 (c) 14.375 + 0.12 32 − 12.11 41. Perform each computation , keeping the proper number of digits in your answer. (a) (170 + 12.5  11.1) − √4.32 (b) 1.21 (−3.5)(67.4)+2.57 (−9.27)(6.53) 42. Perform each computation , keeping the proper number of digits in your answer. (a) √86.334 −49.251 +0.703 (b) √74.8− √9.013+ √−5.055 (c) (5.6 + 7.24 √25.6)3 43. Perform each computation , keeping the proper number of digits in your answer. (a) √(20.954 )(17.5)(67.34) (b) √75− √−355− √355 (c) (0.056 −4.23 √25.63 )2 44. Write each number in scientific notation . (a) 25 000 000 (b) 234  10-5 (c) 0.034  103 (d) 0.000 5690 Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed 5 45. Write each number in engineering notation . (a) 1 320 000 (b) 56  104 (c) 0.075  10-5 (d) 0.002 895 46. Convert each number from scientific notation to decimal notation . (a) 3.5  10-5 (b) 1.205  103 (c) 5.0  10-7 (d) 9.9  104 47. Convert each number from scientific notation to decimal notation . (a) 2.55  104 (b) -3.4  10-3 (c) 3.0  106 (d) 2.200  10-1 48. Convert each number from engineeri ng notation to decimal notation. (a) 2.67  106 (b) 92.1  10-3 (c) 771  103 (d) 64.0  10-9 49. Combine without using a calculator . Write your answer in scientific notation : (2.01  103) + (3  102) 50. Combine without using a calculator . Write your answer in scientific notation : (6.42  10-2) - (5  10-4) + (9  10-3) 51. Multiply and write your in scientific notation. Combine powers of ten by hand or with a calculator : (8.61  1010)(4.35  10-6) Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed 6 52. Divide and write your answer in scientific notation. Combine powers of ten by hand or with a calculator: (1.42  10−3)  (4.32  10-4) 53. Write this expression in scientific notation : -2.425  10-2/3 54. The Earth has a mass of 5 980 000 000 000 000 000 000 000 kg. Write this mass in scientific notation. 55. The charge on an electron is 0.000 000 000 000 000 000 16 coulomb s. Write this charge in scientific notation. 56. Tides are estimated to carry 2.4  106 m3 of sediment through the narrowest part of the Bay of Fundy every year. Write this volume in decimal notation. 57. Convert the following imperial units. (a) 3450 yards to miles (b) 1.2 tons to pounds (c) 3.55 feet to inches 58. Convert the following metric units. Write your answer in scientific notation if the numerical value is greater than 1000 or less than 0.1 . (a) 567 000 cm to km (b) 74 000 nan ohms to deciohms (c) 3.5  10-6 giganewtons to millinewtons 59. Convert the following metric units. Write your answer in scientific notation if the numerical value is greater than 1000 or less than 0.1 . (a) 0.0053 km to cm (b) 3.50  10-9 megafarads to picofarads (c) 25000 mic rolitres to hectolit res 60. Convert between units. (a) 5.67 feet t o metres (b) 24.2 kilograms to pounds (c) 3510 litres to U.S. gallons (d) 0.4500 imperial gallons to cubic centimet res Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed 7 61. Convert between units. (a) 48 centimetres to inches (b) 0.85 ounces to grams (c) 450 watts to horsepower (d) 4.8 cubic metres to U.S. gallons 62. Convert the following areas and volumes . (a) 56 acres to square kilometres (b) 250 square feet to square metres (c) 12 cubic yards to cub ic metres (d) 1500 cubic centimetres to cubic feet 63. Convert the following areas and volumes . (a) 16 square centimetres to square feet (b) 0.750 square metres to square inches (c) 62.5 cubic metres to cubic yards (d) 221 cubic feet to imperial gallons 64. Convert units for the following time rates. (a) 45.5 miles per hour to kilometres per hour (b) 0.25 miles per hour to knots (c) 7.5 metres per hour to feet per minute 65. Convert units for the following unit prices. (a) $45.99 per kilogram to dollars per gram (b) 34 cents per square metre to dollars per acre (c) 25 cents per ounce to dollars per pound 66. How many metres more will a car travel in 12 min at a speed of 50 km/h than it will at a speed of 40 km/h? 67. Jordan cycles 2 km in 15 min and Gaurav cycles 24 km in 2 hours. Who cycles faster? Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed 8 68. The Peak 2 Peak gondola in British Columbia joins Whistler and Black comb Mountains. (a) The gondola cars travel at 7.5 m/s. Convert this speed to km/h. (b) The longest unsupported span is 3.024 km. What is this span in miles? (c) The highest point above the ground is 1427 ft. What is this in metres ? 69. Substitute x = 3 into y = 4x4 + 2x2. Do not round your answer. 70. Substitute x = −2 into y = 3x−2 + 4x2. Do not round your answer. 71. Substitute a = 3.2, b = −1.2, and c = 6.9 into b2 − 4ac. Do not round your answer. 72. Evaluate y = 7x3 + x2 − 5x when x = 1.01. Treat the constants in the equation as exact numbers and round your answer to the appropriate number of digits. 73. Evaluate 3 x2y−1z + 2x + 4 when x = 6.2, y = 3.0, and z = −1.1. Treat the constants in the equation as exact numbers and round your answer to the appropriate number of digits. 74. Evaluate 𝑦=√𝑤3−2𝑥4 when x = 4.77 and w = 7.45. Treat the constants in the equation as exact numbers and round your answer to the appropriate number of digits. 75. The volume of a sphere of radius r is given by V = 4 3r3. If a sphere has radius 65 cm, what is its volume in m3? (Use  = 3.14.) 76. Using the equation I = V/R, calculate the current I (in amperes) in a circuit with a voltage V of 1.5 volts and a resistance R of 3.0 Ω. 77. The average acceleration of a moving body is given by 𝑎𝑎𝑣𝑔 = 𝑉𝑓 − 𝑉1 𝑡𝑓− 𝑡1, where V1 is the initial velocity, Vf is the final velocity, t1 is the initial time, and tf is the final time. Calculate the aver age acceleration, in ft./s², of a car which starts from rest when a stop watch reads 00.00 s and then accelerates to 55.0 mi/h when the watch reads 10.34 s. 78. For uniform motion, distance = rate  time. A jet travels 551 miles in 55 minutes. Find its speed in m/s, assuming its motion is uniform . 79. A runner in a fund raiser gets paid $4.50 for every km he runs. How much money does he make if he runs for one ho ur and fifteen minutes at 8.10 km/h? 80. The kinetic energy of a moving object , in Joules (J), is given by the formula KE = 1 2mv2, where m is the mass of the object and v is its velocity. What is the kinetic energy of an electron traveling at 3.821  105 m/s if the mass of an electron is 9.11  10-31 kg? Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed 9 81. The frequency of waves traveling in any sort of medium is equal to the velocity of the waves divided by the wavelength. Calculate the frequency of light coming from a green bulb (wavelength equals 5.01  10-7 m) if the speed of light is 3.00  108 m/s. 82. Convert each decimal to a percent . (a) 5.3 (b) 0.0005 (c) 0.75 83. Convert each decimal to a percent. (a) 0.067 (b) 3.890 (c) 0.89 84. Convert each fraction to a percent. Round to three significant digits. (a) 13 5 (b) 1 3 (c) 4 7 85. Convert each fraction to a percent. Round to t wo decimal places . (a) 32 9 (b) 11 12 (c) 5 6 86. Convert each percent to a decimal. (a) 25% (b) 3.5% (c) 0.65% 87. Convert each percent to a decimal. (a) 13% (b) 112% (c) 0.091% 88. Convert each percent to a fraction . Reduce to lowest terms. (a) 120% (b) 7% (c) 42.5% 89. Convert each percent to a fraction. Reduce to lowest terms. (a) 35% (b) 0.9% (c) 14.75% 90. (a) What is 35% of 120 kg? (b) 0.4% of what amount is $35.40? (c) 35.3 h is what percent of 125 h? 91. (a) What is 2.5% of 35 cm3? (b) 125% of what length is 3.5 cm? (c) 550 ton nes is what percent of 275 ton nes? Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed 10 92. (a) What is 16.2% of 145 km? (b) 31% of what area is 13 cm2? (c) 98.45 MW is what percent of 345 MW? 93. Find the percent change when a quantity changes: (a) from 55.2 to 74.52 (b) from 1300 to 559 94. Find the percent change when a quantity changes: (a) from 120 to 1020 (b) from 0.56 to 0.7 0 95. Find the percent change when a quantity changes from: (a) 10.3 to 11.1 (b) 0.10 to 0.011 96. For a person making $ 45,000 per year , 22% is deducted for federal income tax. How much federal income tax will they pay ? 97. A factory produces 1100 microchips each day. If 5% of these microchips were faulty one day and 7% were faulty the next, how many were unusable altogether? 98. A woman puts $ 294.50, which is 33 1/3% of her weekly earnings, in the bank. How much does she earn in a week? 99. Battery A is advertised to last 25% longer than its competitor, battery B. If this is true and A lasts for 105 hours, how long should B last? 100. An electric razor sells for 14.5% more than it costs. What is the profit for a razor which costs $29.95? 101. A person bought a pair of skis for $295.99 at a 30%-off sale. What was the original price of the skis ? 102. A volcano containing 3.82 km3 of material erupts, and its volume after the eruption is 2.45 km3. What is the percent change in its volume? 103. A new paper towel can pick up 55% more water than its predecessor. If the old paper towel could pick up 78.0 mL per sheet, how much can the new paper towel absorb per sheet? 104. These were your quiz scores: 16 out of 21, 22 out of 25, 11 out of 15. Which score converts to the highest percent? Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed 11 105. In 1867, 73.1 % of the 361 028 eligible voters in Canada cast a ballot . In 2011, 61.1% of the 24 257 592 eligible voters cast a ballot. (a) How many people voted in 1867? (b) How many people voted in 2011? (c) What was the percent change in number of eligible voters? (d) What was the percent chan ge in the number of people who voted? 106. Of the 1925 hectares of skiable terrain on Whistler mountain , 285 hectares are for beginners . What percent of the terrain is rated for non-beginners ? 107. A 5% reduction in tide levels in the Bay of Fundy is estimated if enough tidal turbines are insta lled to generate 2.5 GW of power. If the tidal range is currently 16.4 m, what would the reduced tidal range be? 108. A climber reaches the top of a mountain that the map says is 12 952 ft. high. If the climber’s altimeter says the elevation is 12 834 ft., what is the percent error in the altimeter's reading? 109. A chemist measures the mass of a sample to be 4.58 g. The known mass of the sample is 4.55 g. What is the percent error in the measurement? 110. A family has set a goal to reduce their power consumption by 25%. If they used 1357.214 kWh last month and 10 67.078 kWh this month, did they reach their goal? 111. A water wheel takes 1.2 hp from a stream and delivers 0.50 hp to a saw. What is the efficiency? 112. If the efficiency of a device is 87% and the output is 65kW, what was the input? 113. A sample of hydrogen peroxide contains 42 mL of hydrogen peroxide and 1358 mL of water. What is the percent concentration of hydrogen peroxide? 114. How many mL of drug will 50 .0 ml of a 35% solution contain? 115. A cement mixture with 27% sand is created using 10.5 kg of sand. What is the mass of the cement mixture? Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed 12 ANSWER KEY Text Chapter Bank Ref Exam Question Answer Type Ques Cat Diff Lvl Sec Code Page 1 1 1 Problem 1 1 2 2 Problem 1 1 3 3 Problem 1 1 4 4 Problem 1 1 5 5 Problem 1 1 6 6 Problem 1 1 7 7 Problem 1 1 8 8 Problem 1 1 9 9 Problem 1 1 10 10 Problem 1 1 11 11 Problem 1 1 12 12 Problem 2 1 13 13 Problem 2 1 14 14 Problem 2 1 15 15 Problem 2 1 16 16 Problem 2 1 17 17 Problem 2 1 18 18 Problem 3 1 19 19 Problem 3 1 20 20 Problem 3 1 21 21 Problem 3 1 22 22 Problem 3 1 23 23 Problem 4 1 24 24 Problem 4 1 25 25 Problem 4 1 26 26 Problem 4 1 27 27 Problem 4 1 28 28 Problem 4 Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed 13 Text Chapter Bank Ref Exam Question Answer Type Ques Cat Diff Lvl Sec Code Page 1 29 29 Problem 4 1 30 30 Problem 4 1 31 31 Problem 5 1 32 32 Problem 5 1 33 33 Problem 5 1 34 34 Problem 5 1 35 35 Problem 5 1 36 36 Problem 5 1 37 37 Problem 6 1 38 38 Problem 6 1 39 39 Problem 6 1 40 40 Problem 6 1 41 41 Problem 6 1 42 42 Problem 6 1 43 43 Problem 6 1 44 44 Problem 7 1 45 45 Problem 7 1 46 46 Problem 7 1 47 47 Problem 7 1 48 48 Problem 7 1 49 49 Problem 7 1 50 50 Problem 7 1 51 51 Problem 7 1 52 52 Problem 7 1 53 53 Problem 7 1 54 54 Problem 7 1 55 55 Problem 7 1 56 56 Problem 7 1 57 57 Problem 8 Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed 14 Text Chapter Bank Ref Exam Question Answer Type Ques Cat Diff Lvl Sec Code Page 1 58 58 Problem 8 1 59 59 Problem 8 1 60 60 Problem 8 1 61 61 Problem 8 1 62 62 Problem 8 1 63 63 Problem 8 1 64 64 Problem 8 1 65 65 Problem 8 1 66 66 Problem 8 1 67 67 Problem 8 1 68 68 Problem 8 1 69 69 Problem 9 1 70 70 Problem 9 1 71 71 Problem 9 1 72 72 Problem 9 1 73 73 Problem 9 1 74 74 Problem 9 1 75 75 Problem 9 1 76 76 Problem 9 1 77 77 Problem 9 1 78 78 Problem 9 1 79 79 Problem 9 1 80 80 Problem 9 1 81 81 Problem 9 1 82 82 Problem 10 1 83 83 Problem 10 1 84 84 Problem 10 1 85 85 Problem 10 1 86 86 Problem 10 Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed 15 Text Chapter Bank Ref Exam Question Answer Type Ques Cat Diff Lvl Sec Code Page 1 87 87 Problem 10 1 88 88 Problem 10 1 89 89 Problem 10 1 90 90 Problem 10 1 91 91 Problem 10 1 92 92 Problem 10 1 93 93 Problem 10 1 94 94 Problem 10 1 95 95 Problem 10 1 96 96 Problem 10 1 97 97 Problem 10 1 98 98 Problem 10 1 99 99 Problem 10 1 100 100 Problem 10 1 101 101 Problem 10 1 102 102 Problem 10 1 103 103 Problem 10 1 104 104 Problem 10 1 105 105 Problem 10 1 106 106 Problem 10 1 107 107 Problem 10 1 108 108 Problem 10 1 109 109 Problem 10 1 110 110 Problem 10 1 111 111 Problem 10 1 112 112 Problem 10 1 113 113 Problem 10 1 114 114 Problem 10 1 115 115 Problem 10