
Concept explainers
a
To find the average rate of change of sales between 1993 and 2003.
a

Answer to Problem 27E
The average rate of change between 1993 and 2003 is
Explanation of Solution
Given information:
Year | Cd player sold |
1993 | 512 |
1994 | 520 |
1995 | 413 |
1996 | 410 |
1997 | 468 |
1998 | 510 |
1999 | 590 |
2000 | 607 |
2001 | 732 |
2002 | 612 |
2003 | 584 |
Formula used:
The average rate of change of the function
Calculation:
Therefore the average rate of change between 1993 and 2003 is
Hence, the average rate of change between 1993 and 2003 is
b
To find the average rate of change of sales between 1993 and 1994.
b

Answer to Problem 27E
Theaverage rate of change between 1993 and 1994 is
Explanation of Solution
Given information:
Year | Cd player sold |
1993 | 512 |
1994 | 520 |
1995 | 413 |
1996 | 410 |
1997 | 468 |
1998 | 510 |
1999 | 590 |
2000 | 607 |
2001 | 732 |
2002 | 612 |
2003 | 584 |
Formula used:
The average rate of change of the function
Calculation:
Therefore the average rate of change between 1993 and 1994 is
Hence, the average rate of change between 1993 and 1994 is
c
To find the average rate of change of sales between 1994 and 1996.
c

Answer to Problem 27E
The average rate of change between 1994 and 1996 is
Explanation of Solution
Given information:
Year | Cd player sold |
1993 | 512 |
1994 | 520 |
1995 | 413 |
1996 | 410 |
1997 | 468 |
1998 | 510 |
1999 | 590 |
2000 | 607 |
2001 | 732 |
2002 | 612 |
2003 | 584 |
Formula used:
The average rate of change of the function
Calculation:
Therefore the average rate of change between 1994 and 1996 is
Hence, the average rate of change between 1994 and 1996 is
d
To find the two successive year in which CD player sales increase and decrease most quickly
d

Answer to Problem 27E
The most increase between two successive years is between 2000-2001.
The most decease between two successive years is between 2001-2002
Explanation of Solution
Given information:
Year | Cd player sold |
1993 | 512 |
1994 | 520 |
1995 | 413 |
1996 | 410 |
1997 | 468 |
1998 | 510 |
1999 | 590 |
2000 | 607 |
2001 | 732 |
2002 | 612 |
2003 | 584 |
Formula used:
The average rate of change of the function
Calculation:
Therefore the average rate of change between 1994 and 1995 is
The average rate of change between 1995 and 1996 is
The average rate of change between 1996 and 1997 is
The average rate of change between 1997 and 1998 is
The average rate of change between 1998 and 1999 is
The average rate of change between 1999 and 2000 is
The average rate of change between 2000 and 2001 is
The average rate of change between 2001 and 2002 is
Therefore the average rate of change between 2002 and 2003 is
Hence,the most increase between two successive years is between 2000-2001 and
the most decease between two successive years is between 2001-2002
Chapter 2 Solutions
Precalculus - A Custom Text for UNLV
- i need help pleasearrow_forward(#1) Consider the solid bounded below by z = x² and above by z = 4-y². If we were to project this solid down onto the xy-plane, you should be able to use algebra to determine the 2D region R in the xy-plane for the purposes of integration. Which ONE of these limite of integration would correctly describe R? (a) y: x24x: -22 - (b) y: 22 x: 04-y² (c) y: -√√4-x2. →√√4x²x: −2 → 2 (d) z: 24-y² y: -2 → 2 (e) None of the abovearrow_forwardX MindTap - Cenxxxx Answered: tat "X A 26308049 X 10 EKU-- SP 25: X E DNA Sequenc X b/ui/evo/index.html?elSBN=9780357038406&id=339416021&snapshotid=877369& GE MINDTAP , Limits, and the Derivative 40. Answer 5 4-5 t-10 5 f(x) = 2x - 4 if x ≤0 if x 0 10 ++ -4-3-2-1 f(x) = MacBook Pro Search or type URL 5 1234 x² +1 if x = 0 if x = 0 +arrow_forward
- MindTap - Cemy X Answered: tat x A 26308049 × 10 EKU--SP 25:11 × E DNA Sequence x H. pylori index.html?elSBN=9780357038406&id=339416021&snapshotid=877369& NDTAP and the Derivative 41. 42. Answer 12 Ay 5 + -10-5 5 10 -5- f(x) = x +5 if x ≤ 0 -x²+5 if x > 0 to -5 5. 5 f(x) = |x − 1| MacBook Pro AAarrow_forwardMind Tap - Cenxxx Answered: tat X A 26308049 × 10 EKU-- SP 25: X E DNA Sequence x H. pylor vo/index.html?elSBN=9780357038406&id=339416021&snapshotld=877369& MINDTAP its, and the Derivative 44. Answer 5 X -10-5 5 10 -5. f(x) = 2 + x +5 if x 0 3 4 f(x) = x² - 1 x+1 if x = -1 MacBook Pro G Search or type URL if x = -1 + AA aarrow_forwardCalculus lll May I please have an explanation of the multivariable chain rule in the example given? Thank youarrow_forward
- Mind Tap - Cenxxx Answered: tat X A 26308049 X 10 EKU-- SP 25:1 x E DNA Sequence x H. pyl /nb/ui/evo/index.html?elSBN 9780357038406&id=339416021&snapshotid=877369& ⭑ SAGE MINDTAP a ons, Limits, and the Derivative 吃 AA In Exercises 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, and 56, find the values of x for which each function is continuous. 45. f(x) = 2x²+x-1 Answer▾ 46. f(x) = x³- 2x²+x-1 47. f(x) 2 = x²+1 Answer 48. f(x) = 49. f(x) = Answer 50. f(x) = 51. f(x) = I 2x²+1 2 2x - 1 x+1 x-1 2x + 1 x²+x-2 Answer↓ 52. f(x)= = x-1 x2+2x-3 53. $ % MacBook Proarrow_forward37. lim f (x) and lim f (x), where x+0+ x 0 Answer -> 38. lim f (x) and lim f (x), where +0x x―0M 2x if x 0arrow_forward37. lim f (x) and lim f (x), where x+0+ x 0 Answer -> 38. lim f (x) and lim f (x), where +0x x―0M 2x if x 0arrow_forward
- Apply the Chain Rulearrow_forwardCalculus lll May I please have the solution for the following exercise? Thank youarrow_forward2z = el+cos(x+y) 24 = olt etz dy = 1 dt dz e²² + cos (+²+1++). 2++ (1+++cos C+²+1++) (+) dz 2+. etz 2t, + 2+⋅ cos (t² +++ 1) + t (1++1 dt + cos (+²+++1) 2. W= (yz) (yz) x x=e8++ 2 y= 3² + 3st, z=sent, hallar 2w 2w د 2u 2t 25 2t AX119 S Narrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning





