Day 1



Unit 1:

Day 1

1. rational

2. rational

3. irrational

4. irrational

5. rational

6. rational

7. rational

8. rational

9. irrational

10. irrational

11. a. yes b. no c. yes d. no

12. a. yes b. yes c. no d. no

13. a. yes b. no c. no d. yes

14. a. no b. yes c. yes d. no

Day 2

Worksheet A

1.

2. (0, 1)

3. (1.621, 0); (-3.427, 0)

4. 4.408; 8.392

5. Runner B is ahead by 0.672 meters

Worksheet B

6.

7. (1.018, 7.957)

8.

9. (0.378, 8.212); (-9.449, 2.708)

10. 0.659 meters

Day 3

1. [pic] 2. [pic]

3. [pic] 4. [pic]

5. [pic] 6. [pic]

7. [pic] 8. [pic]

9. [pic] 10. [pic]

11. [pic] 12. [pic]

13. [pic] 14. [pic]

15. [pic] 16. [pic]

17. [pic] 18. [pic]

19. at least 12.5 %

20. between [pic] and [pic] dozen

21. over 36 units

22. less than 24062.5 miles

23. at least [pic] meters

24. at least 8, 8, and [pic] feet

Day 4

[pic]

[pic]

Day 5

1. a. -51 b. 51 c. 51

2. a. -14.99 b. 14.99 c. 14.99

3. 14

4. 1.225

5. [pic]

6. [pic]

7. [pic]

8. [pic]

9. [pic]

10. [pic]

11. [pic]

12. [pic]

13. [pic]

14. [pic]

15. [pic]

16. [pic]

17. [pic]

18. [pic]

19. Low is 75,000 barrels; High is 325,000 barrels

Day 6

1. -24 2. [pic]

3. 3 4. 44

5. 5 6. 9

7. [pic] 8. [pic]

9. [pic] 10. -5.360

11. [pic] 12. [pic]

13. [pic] 14. [pic]

15. [pic] 16. [pic]

17. [pic]

18. a. [pic] b. [pic]

19. a. [pic] b. [pic]

20. a. [pic] b. [pic]

Day 7

Problems

1. [pic] 2. [pic]

3. [pic] 4. [pic]

5. [pic] 6. [pic]

7. [pic] 8. [pic]

9. [pic] 10. [pic]

Worksheet 2

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

Day 8

1. [pic] 2. [pic]

3. [pic] 4. [pic]

5. [pic] 6. [pic]

7. [pic] 8. [pic]

9. [pic] 10. [pic]

11. [pic] 12. [pic]

13. [pic] 14. [pic]

15. [pic] 16. [pic]

17. [pic] 18. [pic]

19. [pic] 20. [pic]

21. [pic] 22. [pic]

23. [pic] 24. [pic]

Day 11

1. [pic] 2. [pic]

3. [pic] 4. [pic]

5. [pic] 6. [pic]

7. [pic] 8. [pic]

9. [pic] 10. [pic]

11. [pic] 12. [pic]

Day 12

Worksheet C

1. (0.833, -2.458)

2. (1.167, -4.775)

3. (6.410, 8.410)

4. 235.4 hp, 4,207 rpm

5. 372 employees, $2644 per employee

Day 13

1. [pic] 2. [pic]

3. [pic] 4. [pic]

5. [pic] 6. [pic]

7. [pic] 8. [pic]

9. [pic] 10. [pic]

Day 14

1. [pic] 2. [pic]

3. [pic] 4. [pic]

5. [pic] 6. [pic]

7. [pic] 8. [pic]

9. [pic] 10. [pic]

11. [pic] 12. [pic]

13. [pic] 14. [pic]

15. [pic] 16. [pic]

17. [pic]

Unit 2:

Day 1

1. Ex. of Solutions: [pic]; [pic]

Intercepts: [pic]; [pic]

No symmetry

2. Ex. of Solutions: [pic]; [pic]

Intercepts: [pic]; [pic]

y-axis symmetry

3. Ex. of Solutions: [pic]; [pic]

Intercepts: [pic]; [pic]

origin symmetry

4. Ex. of Solutions: [pic]; [pic]

Intercepts: [pic]; [pic]; [pic]

no symmetry

5. b

6. c

7. a. [pic] b. 8 yd by 33 yd

Day 2

Worksheet A

1. (-4.75, -3.12)

2. (4.25, 5.125)

3. (4.918, 4.72)

4. (3.308, -13.779)

5. 2.102 seconds, 1.595 meters

6. 50 shirts

7. a. [pic] b. [pic] c. 26 shirts

8. [pic]; [pic]

Day 3

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]; y-intercept: [pic]

8. [pic]; y-intercept: [pic]

9. [pic] is undefined; no y-intercept

10. [pic]

11. [pic]

12. [pic]

13. [pic]

14. 2011

15. A car can’t have a negative value, and a linear slope will eventually lead to a negative value.

Day 4

1. a. -3 b. -9 c. [pic] d. [pic]

2. a. 2 b. 18 c. [pic] d. [pic]

3. a. 6 b. 6 c. [pic] d. [pic]

4. 3

5. [pic]

6. [pic]

7. no

8. yes

9. yes

10. no

11. Domain: [pic]; Range: [pic]

12. Domain: [pic]; Range: [pic]

13. Domain: [pic]; Range: [pic]

14. Domain: [pic]; Range: [pic]

15. Domain: [pic]; Range: [pic]

16. Domain: [pic]; Range: [pic]

17. yes

18. yes

19. no

20. yes

21. yes

22. no

Day 7

1. 14

2. 1/3

3. ¼

4. 80

5. 0.289

6. 0.354

7. 0

8. -1/8

9. a. 1 b. 3

10. a. -2 b. 0

11. a. 1 b. 3

12. a. -5 b. -3

15. a. 1 b. 1 c. 1

16. a. -2 b. -2 c. -2

17. a. 0 b. 0 c. 0

18. a. 2 b. 2 c. 2

19. a. 3 b. -3 c. DNE

20. a. 0 b. 2 c. DNE

Day 8

1. -2 4 4 ∞ DNE -2

2. 5 0 0 -∞ DNE 0

3. -∞ undefined ∞ 0 DNE 0

4. 5 undefined 5 -∞ 5 -∞

5. 2 2 2 ∞ 2 -∞

6. ∞ undefined ∞ 5 DNE(∞) 0

7. ∞ undefined ∞ -3 DNE(∞) -∞

8. -2 undefined -2 -2 -2 -2

9. -2 undefined -2 ∞ -2 2

10. 0 0 0 -∞ 0 -∞

11. 6 undefined 6 4 6 ∞

12. 3 3 3 3 3 0

Day 9

1. 4

2. -3

3. -4

4. 2

5. -1

6. 2/3

7. -2

8. DNE

9. 1/10

10. 12

11. DNE

12. -1

13. DNE

Day 10

1. 2

2. [pic]

3. 2t – 5

4. [pic]

5. -∞ or DNE

6. -∞ or DNE

7. ∞ or DNE

Day 13

1. Yes, polynomials are all everywhere continuous

2. No, the rational function has asymptotes so it has discontinuities

3. (-∞,∞)

4. (-∞, -1) U (-1, ∞)

5. (-∞,∞)

6. (-∞, 1) U (1, ∞)

7. (-∞,∞)

8. (-∞, 4) U (4, 5) U (5, ∞)

9. (-∞, 1) U (1, ∞)

10. (-∞,∞)

11. (-∞, 2) U (2, ∞)

12. (-∞,∞)

Day 14

1. Yes

2. Yes

3. (-∞, 0) U (0, ∞) ; non-removable at x = 0

4. (-∞, -2) U (-2, 2) U (2, ∞) ; non-removable at x = -2, 2

5. (-∞,∞)

6. (-∞, -1) U (-1, 1) U (1, ∞) ; non-removable at x = -1, 1

7. (-∞, -3) U (-3, 3) U (3, ∞) ; removable at (3, 1/6) non-removable at x = -3

8. (-∞, -2) U (-2, 1) U (1, ∞) ; removable at (1, 1/3) non-removable at x = -2

9. Non-removable at all integers

10. (-∞,∞)

11. (-∞, 4) U (4, ∞) ; removable at (4, 8)

12. (-∞, 0) U (0, ∞) ; removable at (0, 1)

13. (-∞, 0) U (0, ∞) ; removable at (0, 1)

14. (-∞, -1) U (-1, 1) U (1, ∞) ; removable at (-1, 2) and (1, 2)

15. (-∞, -1) U (-1, 2) U (2, ∞) ; non-removable at x = -1, 2

16. (-∞,∞)

Unit 3:

Day 5

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

Day 6

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

Day 7

1. y – 2 = 2(x – 2)

2. y + 1 = 2(x + 1)

3. y – 9 = -6(x + 2)

4. y = -1

5. y – 3 = ¼(x – 4)

6. y – 1 = –(x – 1)

Unit 4:

Day 1

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

9. [pic]

10. [pic]

11. [pic]

12. [pic]

13. [pic]

14. [pic]

15. [pic]

16. [pic]

17. [pic]

18. [pic]

Day 2

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

9. [pic]

10. [pic]

11. [pic]

12. [pic]

13. [pic]

14. [pic]

Day 3

1. [pic]

2. [pic]

3. none

4. (0, 1)

5. C(x) = 7.75x + 500 C’(x) = 7.75

6. P(x) = .4x – 250 P’(x) = .4

7. (0.110, 0.135) (1.841, -10.486)

8. (-0.267, 1.577) (1.200, 0)

Day 5

1. Ave = 5/27 per hour E’(2) = 1/3 per hour E’(3) = 0 per hour

2. H’(2) = 83.627 H’(5) = 40.790

3. a. -80 ft/sec b. -96 ft/sec c. 5.890 sec d. -188.468 ft/sec

4. a. 168 ft/sec b. at all times c. never increasing in speed

5. a. 0 ft/sec b. 15 ft/sec c. 30 ft/sec d. 45 ft/sec

6. v(t) = 2t + 2

Day 6

1. C’(x) = 470 – 0.5x

2. R’(x) = 50 – x

3. P’(x) = -0.0005x + 12.2

4. a. $65.00 b. $65.00 c. They are the same

5. a. $0.58 b. $0.60 c. They are about the same

6. a. $0.50 b. $0.60 c. They are close to the same

7. a. $37.40 b. $79.80 c. $14.83 d. -$48.40

Day 8

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

9. [pic]

10. y – 2 = -2x or y = -2x + 2

11. y + 3 = -(x – 1)

Day 9

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

9. [pic]

10. y – 1 = ¼(x – 2)

11. y – 1/3 = 2/9(x – 2)

Day 10

1. y’ = 1

2. [pic]

3. [pic]

4. [pic]

5. (0, 0) (2, 4)

6. (0, 0)

7. -0.243 % defective parts per day

Day 12

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

9. [pic]

10. [pic]

11. [pic]

12. [pic]

13. [pic]

Day 13

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

9. [pic]

10. [pic]

11. y – 5488 = 16856(x – 2)

12. [pic]

13. [pic]

Day 14

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

9. [pic]

10. [pic]

11. [pic]

12. [pic]

13. [pic]

14. [pic]

15. [pic]

16. [pic]

17. [pic]

18. [pic]

19. [pic]

20. [pic]

Day 16

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

9. [pic]

10. [pic]

11. [pic]

12. [pic]

13. [pic]

14. x =3

15. x = 0, x = 3, x = -3

Day 17

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

9. [pic]

10. [pic]

11. [pic]

12. [pic]

13. [pic]

14. x = 0

15. [pic]

Unit 5:

Day 1

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

9. [pic]

10. [pic]

Day 2

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. undefined

6. [pic]

7. undefined

8. -1

9. -1

10. undefined

Day 3

7. [pic]

8. [pic]

9. [pic]

10. [pic]

11. [pic]

12. [pic]

Day 4

1. No, r is changing

2. No, r is changing

3. [pic]

4. [pic]

5. [pic]

Day 5 (Turn in 1-6. 2, 4 & 6 will be graded for accuracy)

1. [pic]

3. [pic]

5. [pic]

Day 6

1. a. 700mph b.20min or 1/3 hr

2. 300mph

3. 8.326 ft/sec

4. [pic]

Day 8

1. inc (-∞, -1) dec(-1, ∞)

2. inc (-∞, -2) U (2, ∞) dec (-2, 2)

3. inc (-∞,∞)

4. inc (-∞, 1) dec (1, ∞)

5. dec (-∞, 2.5) in (2.5, ∞)

6. inc (-∞, 0) U (4, ∞) dec (0, 4)

7. dec (-∞, -1) U (-1, ∞)

8. inc (-∞, 1) dec (1, ∞)

9. inc (-∞, 5/3) U (-1, ∞) dec (-5/3, -1)

10. inc (-∞, 0) U (0, ∞)

Day 9

1. rel max at (1, 5)

2. rel min (3, -9)

3. rel max (2/3, 28/9) rel min (1, 3)

4. none

5. rel max (0, 15) rel min (4, -17)

6. rel min (3/2, -27/16)

7. none

8. none

9. rel max (-1, -2) rel min (1, 2)

10. rel max (0, 4)

Day 10

1. ab max (-1, 8) ab min (2, 2)

2. ab max (0, 5) ab min (3, -13)

3. ab max (-1, 8) ab min (3, 0)

4. ab max (-1, 3) ab min (0, 0)

5. ab max (2, 1) ab min (0, 1/3)

6. ab min (2.690, -5.549) ab max (5, 7)

7. ab min (0.440, -1.061) ab max (1, 4.7)

8. ab min (0, 0) ab max (1, 2)

Day 14

1. con up (-∞,∞)

2. con up (-∞, 1) con down (1, ∞)

3. con up (-∞, -1/2) con down (-1/2, ∞)

4. con up (-2, 2) con down (-∞, -2) U (-2, ∞)

5. con up (-∞, -2) U (2, ∞) con down (-2, 2)

6. con up (2, ∞) con down (-∞, -2) U (-2, 1)

7. f’(x) is + f’’(x) is +

8. f’(x) is - f’’(x) is –

9. (0, 3)

10. (1, 0) (3, -16)

11. (1, 18)

12. (2, 0) (5/4, -27/256)

13. No inflection points because f(x) is always concave down

14. f(x) has 2 points of inflection

Day 15

1. max at (3,9)

2. min at (5, 0)

3. min at (7/3, -203/27) max at (1,3)

4. min at (1, -1)

5. none

6. min at (2, 4) max at (-2, -4)

7. max at (-2, 16) min at (2, -16) point of inflection (0, 0)

[pic]

8. no max or min, point of inflection (2, 8)

[pic]

9. max (0, 0) min (2, -4) (-2, -4), point of inflection [pic]

[pic]

10.

[pic]

Day 19

1. x = 0 y =1

2. x = 2 y = 0

3. x = -1 y = 1

4. x = 1 y = -1

5. y = 0

6. x = 2 x = -2 y = ½

7. x = 2 y = 0

8. A

9. C

10. E

11. F

12. D

13. B

Day 20

1. y-int (0, 3), x-int (-3, 0) (1, 0) max (-1, 4)

[pic]

2. y-int (0, 6), x-int (-1.086, 0) (1.572, 0) (3.514,0) max (0, 6) min (8/3, -94/27) poi (4/3, 34/27)

[pic]

3. y-int (0, 2), x-int (1,0), poi (0, 2)

[pic]

4. y-int (0,0), x-int (0,0), [pic] max(0,0), min(1, 3) & (-1, -3), poi [pic]

[pic]

5. y-int (0, -3.5), x-int (7/3, 0), asym x = 2 & y = -3

[pic]

6. y-int (0,0), x-int (0, 0) (4,0), min (4, 0), max (8/3, 3.079)

[pic]

Day 25

1. 55 & 55

2. 9 & 18

3. 25 & 50

4. [pic]

5. 8 & 24

6. 1

7. 25 & -25

8. 25ft & 25ft

9. 8ft & 8ft

10. 100/3ft by 50ft

11. 300m by 600m

Day 27

1. 2000 units

2. 80 units

3. 600 units

4. 650 units

5. a. during 1987 b. in 1994 c. ‘85 was $7831, ‘87 was $6006.60, ’94 was $8050.60

Unit 6:

Day 1

1. a. 625 b. 9 c. 256 d. 9 e. 125 f. 4

2. a. [pic] b. [pic] c. [pic] d. [pic]

3. a. [pic] b. [pic] c. [pic] d. [pic]

4. a. [pic] b. [pic] c. [pic] d. [pic]

5. 4

6. -2

7. 2

8. 16

9. -1/3

10. 9

11. e

Day 2

1. C

2. A

3. D

4. E

5. B

6. F

7. a. $1343.92 b. $1348.36 c. $1349.86

8. a. $6712.66 b. $6781.60 c. $6795.70

9. $44,932.90

10. $60,716.10

11. a. $849.53 b. $421.12 c. $0

Day 4

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

9. [pic]

10. [pic]

11. [pic]

Day 7

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

9. [pic]

10. 5x +2

11. [pic]

12. 1.79

13. 0.41

14. 4.40

15. 0.55

16. ln2 – ln3

17. lnx + lny + lnz

18. [pic]

19. [pic]

20. [pic]

Day 8

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

9. [pic]

10. [pic]

11. 4

12. -3, 3

13. 1

14. 7.389

15. 0.386

16. 5.181

17. -4.236

18. 0.841

19. -1.585

20. 10.245

21. a. 13.891years b. 13.863years

Day 9

1. 3

2. 2

3. 3/2

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

9. [pic]

10. [pic]

11. [pic]

12. [pic]

13. [pic]

14. [pic]

15. [pic]

16. [pic]

17. [pic]

Day 11

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. 6.519grams

6. 6.705grams

7. 2.161grams

8. 1353.75present

9. 3.155hours

Unit 7:

Day 1

1. 6x + C

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

9. [pic]

10. [pic]

11. [pic]

12. [pic]

13. [pic]

14. [pic]

15. [pic]

16. [pic]

17. [pic]

Day 3

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

Day 4

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

9. [pic]

10. [pic]

Day 8

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

Day 10

1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

Day 13

1. 9.625 units2

2. 10.625 units2

3. 159/16 units2

4. 313/32 units2

5. 329/32 units2

6. 639/64 units2

7. It is likely close to 10units2, the increase in smaller rectangles made it a closer approximation and they are around 10.

8. 125/8 units2

9. 133/8 units2

10. 255/16 units2

Day 15

1. 6

2. 31.5

3. 1/6

4. 1.6

5. 4.012

6. 13.045

7. 25.5

8. 9.859

9. 0.632

10. 0.438

Day 16

1. 1

2. 0

3. 8/3

4. 1/3

5. -4

6. 22/3

7. -1.35

8. 2

9. 0.432

10. 5.789

Unit 8:

Day 1

1. 32/3

2. 9

3. 1/6

4. 125/6

Day 3

1. 32/3

2. 9/2

3. 1/12

4. 32/3

5. 9/2

6. 9/2

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