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Calculus Warm Up 
Sample Problem #1I 
The absolute value of the 
difference between r + 7 and r 
– 4 is: 
A) 3 B) 5 C) 7 
D) 9 E) 11
Sample Problem #2I 
The ratio of girls to boys in Mr. 
Quadwad’s homeroom is 2/3. Each 
of the following could be the total 
number of students in the 
homeroom except: 
A) 15 B) 24 C) 25 
D) 30 E) 60
Sample Problem #3I 
30° 
6 
6 
6 
30° 
Note: Figure not drawn to scale. 
What is the perimeter of the 
figure above? 
A) 24 B) 25 C) 28 D) 30 E) 36
Sample Problem #4I 
Find region in the first 
quadrant bounded by the axes 
and the line 3x + 4y = 12 has 
an area of how many square 
units? 
A) 4 B) 6 C) 8 D) 10 E) 12
Sample Problem #5I 
The price of an HDTV was first 
decreased 20% and then increased 20% 
of the new price. The current price is 
now: 
A) the same as the original 
B) 2% more than the original 
C) 2% less than the original 
D) 4% more than the original 
E) 4% less than the original
Helpful hint #4: 
 SPR’s have no 
penalty for guessing so 
NEVER leave them blank!
Calculus Drill 
•1. Find the limit 
lim 
x 0 
|x| 
x 
lim 
x 2 
|x–2| 
x – 2
HW Review 
• http://college.cengage.com/mathematics/bl 
ackboard/content/larson/calc8e/calc8e_sol 
ution_main.html?CH=00&SECT=a&TYPE 
=se
Review 
•1. Find the limit! 
lim x 
 
1 
x 
 
3
• 2. Continuous / 
Discontinuous? Removable or 
Not 
2 
1 
lim 
x 
1 
1 x 
 x 
 

Review 
•3. Find the limit! 
3 2 
lim(3 x 2 x 
4) 
x 
 
1 
 
• 4. Continuous / 
Discontinuous? Removable or 
Not 
2 
2 
( ) 
x 
x 
f x 
 
 

Review 
•5. Find the limit! 
2 
1 
1 
lim 
x 
x 
 
 x
•6. Find the limit 
f x 
( ) 27 
lim 
x  
c 
lim 
a f x 
( ) 3 
( ) 
( ) 
3 
2 
x  
c 
lim 
( ) 
18 
x  
c 
lim 
( ) [ ( )] 
x c 
f x 
b 
c f x 
 

Review 
•7. Find the limit! 
1 2 
lim 
x 
3 
3 x 
  
 
 x
• 8. Continuous / 
Discontinuous? Removable or 
Not 
2 
2 2 
4 1 2 
( ) 
x x 
x x x 
f x 
    
  
    
Review 
•9. Find the limit! 
2 2 
0 
( ) 
lim 
x 
x   x  
x 
   
x
Review 
•10. Find the limit! 
2 
1 
 x 
 1 
 
  
   
lim 
1/( x 1) x 
 

Review 
•11. Find the limit! 
1 1 
 
lim 
x 
 
4 4 x 
 0 
x
• 12. Continuous / 
Discontinuous? Removable or 
Not 
lim 
2 
x 
3 9 x 
 x 
Review 
•13. Find the limit! 
2 
1 
lim 
2 
x 
1 
1 x 
 x 
 

Review 
•14. Find the limit! 
  
  2 
 
  
0 
1 
lim 1 
x x

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Day 3 review

  • 1. Calculus Warm Up Sample Problem #1I The absolute value of the difference between r + 7 and r – 4 is: A) 3 B) 5 C) 7 D) 9 E) 11
  • 2. Sample Problem #2I The ratio of girls to boys in Mr. Quadwad’s homeroom is 2/3. Each of the following could be the total number of students in the homeroom except: A) 15 B) 24 C) 25 D) 30 E) 60
  • 3. Sample Problem #3I 30° 6 6 6 30° Note: Figure not drawn to scale. What is the perimeter of the figure above? A) 24 B) 25 C) 28 D) 30 E) 36
  • 4. Sample Problem #4I Find region in the first quadrant bounded by the axes and the line 3x + 4y = 12 has an area of how many square units? A) 4 B) 6 C) 8 D) 10 E) 12
  • 5. Sample Problem #5I The price of an HDTV was first decreased 20% and then increased 20% of the new price. The current price is now: A) the same as the original B) 2% more than the original C) 2% less than the original D) 4% more than the original E) 4% less than the original
  • 6. Helpful hint #4:  SPR’s have no penalty for guessing so NEVER leave them blank!
  • 7. Calculus Drill •1. Find the limit lim x 0 |x| x lim x 2 |x–2| x – 2
  • 8. HW Review • http://college.cengage.com/mathematics/bl ackboard/content/larson/calc8e/calc8e_sol ution_main.html?CH=00&SECT=a&TYPE =se
  • 9. Review •1. Find the limit! lim x  1 x  3
  • 10. • 2. Continuous / Discontinuous? Removable or Not 2 1 lim x 1 1 x  x  
  • 11. Review •3. Find the limit! 3 2 lim(3 x 2 x 4) x  1  
  • 12. • 4. Continuous / Discontinuous? Removable or Not 2 2 ( ) x x f x   
  • 13. Review •5. Find the limit! 2 1 1 lim x x   x
  • 14. •6. Find the limit f x ( ) 27 lim x  c lim a f x ( ) 3 ( ) ( ) 3 2 x  c lim ( ) 18 x  c lim ( ) [ ( )] x c f x b c f x  
  • 15. Review •7. Find the limit! 1 2 lim x 3 3 x     x
  • 16. • 8. Continuous / Discontinuous? Removable or Not 2 2 2 4 1 2 ( ) x x x x x f x           
  • 17. Review •9. Find the limit! 2 2 0 ( ) lim x x   x  x    x
  • 18. Review •10. Find the limit! 2 1  x  1       lim 1/( x 1) x  
  • 19. Review •11. Find the limit! 1 1  lim x  4 4 x  0 x
  • 20. • 12. Continuous / Discontinuous? Removable or Not lim 2 x 3 9 x  x 
  • 21. Review •13. Find the limit! 2 1 lim 2 x 1 1 x  x  
  • 22. Review •14. Find the limit!     2    0 1 lim 1 x x

Editor's Notes

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  3. 9
  4. 12
  5. 6
  6. 22