Test Bank for Calculus And Its Applications 11th Edition by Bittinger Full file A-10 at https://TestbankDirect.eu/ ANSWERS TO CHAPTER TEST FORMS CHAPTER 1, FORM A (a) 9, 9.7, 9.9, 9.99, 9.999, 9.9999; 11,10.5,10.1,10.01,10.001,10.0001 21 y = 14 x−4 ⎛ 32 ⎞ 22 (0,0), ⎜ , − ⎟ ⎝ 27 ⎠ (b) 10, 10, and 10 (a) 10 23 17x16 24 x −3 / − 25 24 x4 26 −5 / x −1/ x 27 1.28 x − 14 x 28 x − 24 x + (b) 10 29 ( x − 4)2 Does not exist 30 (3 − x)3 ( x + 5)2 (− x − 11) 31 − 8(6 x − 5)(6 x − 10 x + 1)−5 Does not exist 32 x − 12 x − 16 33 480 x − 54 Continuous 10 Discontinuous since lim f ( x ) does not exist for x →a 34 (a) AR = 40, AC = x −3/4 + a = − 6, − 4, − 2, 2, 4, 650 , x 650 x (b) Average cost is dropping at approximately $2.90 per item AP = 40 − x −3/4 − 11 Does not exist 12 13 No 35 (a) 14 15 (b) 16 Yes dV = 4π r dr π in3 (c) π in3 /in 17 178 36 ( f D g)( x ) = x − x + 10; 18 − (g D f )( x ) = x + 27 x + 243 x + 728 19 Does not exist 37 20 − 3(2 x + h) − x − 18 4(2 − x )2 / ( x + 5)3 / Copyright © 2014 Pearson Education, Inc Full file at https://TestbankDirect.eu/ Test Bank for Calculus And Its Applications 11th Edition by Bittinger Full file ANSWERS at https://TestbankDirect.eu/ TO CHAPTER TEST FORMS CHAPTER 1, FORM A (continued) A-11 40 38 12 or 0.25 39 (0.37435329, 3.0910298) (1.8975696, − 7.910868) CHAPTER 1, FORM B (a) 5,5.7, 5.9, 5.99, 5.999, 5.9999; 7,6.5, 6.1, 6.01, 6.001, 6.0001 (b) 6, and 12 13 Yes 14 Does not exist 15 − 2 (a) 16 No 17 18 19 Does not exist 20 − 10 x − 5h 21 y = − x + 22 (0,0), (− 1,3) (b) 23 53y 52 Does not exist Does not exist Continuous 10 Not continuous, since lim f ( x) does not exist x→2 24 −2 / + x −1/ x 25 22 x3 26 −3 / x 27 0.54 x − 10 x 28 x − x + 10 11 Copyright © 2014 Pearson Education, Inc Full file at https://TestbankDirect.eu/ Test Bank for Calculus And Its Applications 11th Edition by Bittinger Full file A-12 at https://TestbankDirect.eu/ ANSWERS TO CHAPTER TEST FORMS CHAPTER 1, FORM B (continued) 29 −(15 x + 8) x5 36 ( f D g)( x ) = x + x + (g D f )( x ) = x + x + 30 ( x + 2) (2 − x )(2 − x ) 31 − 20 x(3 x − 2)(3 x − x + 6)−6 32 x − 20 x 37 −(25 + 44 x) 3(5 − x)1/3 (5 + x)3/ 38 27 x−5 39 (0.8610,15.2837), (3.3413, − 15.6609) 33 120x 34 (a) AR = 50, AC = x − 2/5 + 750 , x 750 x (b) Average cost is dropping by approximately $5.22 per item AP = 50 − x −2/5 − dW = 1.82 − 0.1192t + 0.002274t dr (b) 26.02 lb 35 (a) 40 − or − 0.875 (c) 0.4112 lb/month CHAPTER 1, FORM C (a) 7, 7.7, 7.9, 7.99, 7.999, 7.9999 9, 8.5, 8.1, 8.01, 8.001, 8.0001 (b) 8, 8, and 8 Continuous (a) 10 Not continuous since lim f ( x) ≠ f (− 3) x →− 11 − 12 13 No 14 15 16 Yes 17 − 49 18 − (b) Does not exist 19 Does not exist 20 x + 4h Does not exist 21 y = − x + − 22 (− 1, 6), (1, − 6) Copyright © 2014 Pearson Education, Inc Full file at https://TestbankDirect.eu/ Test Bank for Calculus And Its Applications 11th Edition by Bittinger Full file ANSWERS at https://TestbankDirect.eu/ TO CHAPTER TEST FORMS CHAPTER 1, FORM C (continued) 23 46x 45 (b) Average cost is dropping at approximately $1,24 per item dP = 15 − 2t dt (b) 114 ppb 35 (a) 24 x −2 / + x −1/ 25 A-13 49 x8 (c) ppb/hr 36 ( f D g)( x ) = 108 x + x 26 x / 3 (g D f )( x ) = − x (3 x − 1)3 , or − x (27 x − 27 x + x − 1) 27 18.9 x − x 28 − x + 32 x + 29 37 − 2(3 x − 2) x5 38 12 39 (− 0.0999004, 2.04998), (1.0313292, − 2.015982) 30 ( x + 5)4 (4 − x )(10 − x ) 31 − x(9 x − 10)(3 x − x + 8)−4 32 − (12 x + 5) 5(4 − x)2/5 ( x + 1)4/5 3x4 + x4 + 33 360 x − 24 34 (a) AR = 25, AC = x −3/5 + AP = 25 − x −3/5 − 400 , x 400 x 40 − or − 0.5 CHAPTER 1, FORM D (a) − 9, − 8.5, − 8.1, − 8.01, − 8.001, − 8.0001; − 7, − 7.7, − 7.9, − 7.99, − 7.999, − 7.9999 (b) − 8, − 8, and − Does not exist − 2 (a) − Does not exist Discontinuous because lim f ( x ) for x →a a = − 4, − 2, 2, does not exist 10 Continuous 11 − 12 − 13 Yes 14 Does not exist (b) − Copyright © 2014 Pearson Education, Inc Full file at https://TestbankDirect.eu/ Test Bank for Calculus And Its Applications 11th Edition by Bittinger Full file atA-14 https://TestbankDirect.eu/ CHAPTER 1, FORM D (continued) 15 ANSWERS TO CHAPTER TEST FORMS 33 240x 34 (a) AR = 45, AC = x −1/4 + 16 No 550 x (b) Average cost is dropping at approximately $1.38 per item AP = 45 − x −1/4 − 17 18 24 19 Does not exist dP = 3600t dt (b) 770,000 people 35 (a) 20 x + 3h − 21 y = 22 x−4 (c) 72,000 people/year 36 ( f D g)( x ) = x + x + 22 (0,0), (1, − 1) (g D f )( x ) = x + + x + 23 28x 27 − 8x 8(5 − x )7 / ( x + 6)5 / 24 −3 / − x −1/ x 37 − 32 x9 38 75 25 26 −5 / x 39 (0.37260293, 1.2364915), (1.734937, − 1.511481) 27 8.1x − x 28 x + 12 x − 29 x − 12 x3 30 ( x + 1)2 (6 − x )(16 − x ) 31 − 4(6 x + 32 x − 3)(2 x + 16 x − x )−5 32 550 , x 40 or 0.60 x5 − x x4 − Copyright © 2014 Pearson Education, Inc Full file at https://TestbankDirect.eu/ Test Bank for Calculus And Its Applications 11th Edition by Bittinger Full file ANSWERS at https://TestbankDirect.eu/ TO CHAPTER TEST FORMS A-15 CHAPTER 1, FORM E (a) − 11, − 10.5, − 10.1, − 10.01, − 10.001, 21 y = − x + − 10.001; 22 (0,0), (2, − 4) − 9, − 9.7, − 9.9, − 9.99, − 9.999, − 9.9999 (b) − 10, − 10, and − 10 23 113 x112 24 −2 / x + x −1/ 25 − 600 x6 26 −1/ x (a) − 10 27 2.36 x − 12 x 28 x − 10 x + 29 (b) − 10 ( x − 3)2 30 (3 − x )2 ( x + 1)2 (5 − x ) Does not exist 31 − x −9 (6 + x + x )(6 + x + x )−5 Does not exist 32 − x6 − x6 − 33 − 180 x Does not exist 1000 , x 1000 AP = 25 − x − 2/3 − x 34 (a) AR = 25, AC = x − 2/3 + Not continuous, since lim f ( x ) does not exist x →0 10 Continuous 11 − (b) Average cost is dropping at approximately $1.60 per item 12 − 35 (a) dM = − 0.006t + 0.2t dt (b) 24 words 13 Yes 14 Does not exist (c) 1.6 words/minute 15 36 ( f D g)( x ) = x + 19 x + 45 16 No (g D f )( x ) = x − x + 17 − 37 18 18 −5x − 2(6 − x )5 / ( x + 10)1/ 38 48 19 Does not exist 20 10 x + 5h − CHAPTER 1, FORM E (continued) Copyright © 2014 Pearson Education, Inc Full file at https://TestbankDirect.eu/ Test Bank for Calculus And Its Applications 11th Edition by Bittinger Full file atA-16 https://TestbankDirect.eu/ ANSWERS TO CHAPTER TEST FORMS 39 (0.54368945, 3.8638885), (1, 3) 40 CHAPTER 1, FORM F ANSWERS (a) − 7, − 6.5, − 6.1, − 6.01, − 6.001, − 6.0001; − 5, − 5.7, − 5.9, − 5.99, − 5.999, − 5.9999 (b) −6, − 6, and − 13 No 14 15 16 Yes 17 92 (a) − 18 40 19 Does not exist 20 x + 4h − 21 y = x + ⎛ − 32 ⎞ 22 (0, 0), ⎜ , ⎟ ⎝ 27 ⎠ 23 85 x84 (b) − 24 −3 / x − x −1/ 2 25 − 12 x5 26 −2 / x Does not exist − Does not exist 27 16.4 x − 10 x − 28 x + 16 x − 161 Not continuous, since lim f ( x ) does not exist x →− 10 Continuous 29 − 4(2 x + 1) x5 30 2( x + 2)3 (3 − x ) (4 − x ) 11 Does not exist 31 − 16 x(3x − 1)(4 x3 − x + 5)− 12 Copyright © 2014 Pearson Education, Inc Full file at https://TestbankDirect.eu/ Test Bank for Calculus And Its Applications 11th Edition by Bittinger Full file ANSWERS at https://TestbankDirect.eu/ TO CHAPTER TEST FORMS CHAPTER 1, FORM F (continued) 32 A-17 36 ( f D g)( x ) = x + x x − 20 x (g D f )( x ) = x + x x −5 37 33 480 x 34 (a) AR = 30, AC = x −1/3 + 400 x −(11x + 28) 6(8 − x)1/4 (4 + x)5/6 38 400 AP = 30 − x − x (b) Average cost is dropping at approximately $2.79 per item − 1/3 39 (− 1.1246, 9.3334), (0.6508, − 2.6279) dT = 0.34t − 1.5 dt (b) 99.53 °F 35 (a) (c) − 0.48 °F/hr 40 Copyright © 2014 Pearson Education, Inc Full file at https://TestbankDirect.eu/ ... https://TestbankDirect.eu/ Test Bank for Calculus And Its Applications 11th Edition by Bittinger Full file A-12 at https://TestbankDirect.eu/ ANSWERS TO CHAPTER TEST FORMS CHAPTER 1, FORM B (continued)... at https://TestbankDirect.eu/ Test Bank for Calculus And Its Applications 11th Edition by Bittinger Full file ANSWERS at https://TestbankDirect.eu/ TO CHAPTER TEST FORMS CHAPTER 1, FORM C (continued)... https://TestbankDirect.eu/ Test Bank for Calculus And Its Applications 11th Edition by Bittinger Full file ANSWERS at https://TestbankDirect.eu/ TO CHAPTER TEST FORMS A-15 CHAPTER 1, FORM E (a)