![EBK PRECALCULUS: MATHEMATICS FOR CALCUL](https://www.bartleby.com/isbn_cover_images/8220100466571/8220100466571_largeCoverImage.jpg)
Concept explainers
a
To find the average rate of change of sales between 1993 and 2003.
a
![Check Mark](/static/check-mark.png)
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
![Check Mark](/static/check-mark.png)
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
![Check Mark](/static/check-mark.png)
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
![Check Mark](/static/check-mark.png)
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
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
- Let f be a function whose graph consists of 5 line segments and a semicircle as shown in the figure below. Let g(x) = √ƒƒ(t) dt . 0 3 2 -2 2 4 5 6 7 8 9 10 11 12 13 14 15 1. g(0) = 2. g(2) = 3. g(4) = 4. g(6) = 5. g'(3) = 6. g'(13)=arrow_forwardThe expression 3 | (3+1/+1) of the following integrals? A Ов E + + + + 18 3+1+1 3++1 3++1 (A) √2×14 dx x+1 (C) 1½-½√ √ ² ( 14 ) d x (B) √31dx (D) So 3+x -dx is a Riemann sum approximation of which 5 (E) 1½√√3dx 2x+1arrow_forward2. Suppose the population of Wakanda t years after 2000 is given by the equation f(t) = 45000(1.006). If this trend continues, in what year will the population reach 50,000 people? Show all your work, round your answer to two decimal places, and include units. (4 points)arrow_forward
- 3. Solve the equation, give the answer exactly (no calculator approximations), and show all your work. (4 points) log5 2x = 3arrow_forwardLet I = f(x) dx, where f is the function whose graph is shown. 4 2 y f X 1 2 3 4 (a) Use the graph to find L2, R2 and M2. R₂ M2 = = = (b) Are these underestimates or overestimates of I? O 42 is an underestimate. O 42 is an overestimate. ◇ R2 is an underestimate. OR2 is an overestimate. OM2 is an underestimate. ○ M2 is an overestimate. (c) Use the graph to find T2. T₂ =arrow_forwardVector u has a magnitude of 23 and vector v has a magnitude of 83. The angle between the two vectors is 126 degrees.a) Draw a fully-labelled vector diagram showing the two vectors and the resultant vector when they are added together.b) Find the magnitude of the resultant vector.c) Find the direction of the resultant vector relative to vector u. Solding by finding the x and y of the vectors and addingarrow_forward
- 3) If a is a positive number, what is the value of the following double integral? 2a Love Lv 2ay-y² .x2 + y2 dadyarrow_forward16. Solve each of the following equations for x. (a) 42x+1 = 64 (b) 27-3815 (c) 92. 27² = 3-1 (d) log x + log(x - 21) = 2 (e) 3 = 14 (f) 2x+1 = 51-2xarrow_forward11. Find the composition fog and gof for the following functions. 2 (a) f(x) = 2x+5, g(x) = x² 2 (b) f(x) = x²+x, g(x) = √√x 1 (c) f(x) = -1/2) 9 9(x) = х = - Xarrow_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
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)