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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

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Page 1: Day 3 review

Calculus Warm UpSample 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

Page 2: Day 3 review

Sample Problem #2IThe 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

Page 3: Day 3 review

Sample Problem #3I

What is the perimeter of the figure above? A) 24 B) 25 C) 28 D) 30 E) 36

Note: Figure not drawn to scale.

30°

6

6

630°

Page 4: Day 3 review

Sample Problem #4IFind 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

Page 5: Day 3 review

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 originalB) 2% more than the original C) 2% less than the original D) 4% more than the original E) 4% less than the original

Page 6: Day 3 review

Helpful hint #4: SPR’s have no

penalty for guessing so NEVER leave them blank!

Page 7: Day 3 review

Calculus Drill•1. Find the limit

limx 0

|x|x

limx 2

|x–2|x – 2

Page 9: Day 3 review

Review

•1. Find the limit!

3

1limx

x

Page 10: Day 3 review

• 2. Continuous / Discontinuous? Removable or Not

2

1

1

1limx

x

x

Page 11: Day 3 review

Review

•3. Find the limit!

3 2

1

(3 2 4)limx

x x

Page 12: Day 3 review

• 4. Continuous / Discontinuous? Removable or Not

2

2( )

x

xf x

Page 13: Day 3 review

Review

•5. Find the limit!2

1

1limx

x

x

Page 14: Day 3 review

•6. Find the limit

3

3

2

( ) 27

( ) ( )

( )( )

18

( ) [ ( )]

lim

lim

lim

lim

x c

x c

x c

x c

f x

a f x

f xb

c f x

Page 15: Day 3 review

Review

•7. Find the limit!

3

1 2

3limx

x

x

Page 16: Day 3 review

• 8. Continuous / Discontinuous? Removable or Not

2

2 2

4 1 2( )

x x

x x xf x

Page 17: Day 3 review

Review

•9. Find the limit!2 2

0

( )limx

x x x

x

Page 18: Day 3 review

Review

•10. Find the limit!2

1

1

1/( 1)limx

x

x

Page 19: Day 3 review

Review

•11. Find the limit!

0

1 14 4lim

x

xx

Page 20: Day 3 review

• 12. Continuous / Discontinuous? Removable or Not

23 9lim

x

x

x

Page 21: Day 3 review

Review

•13. Find the limit!2

21

1

1limx

x

x

Page 22: Day 3 review

Review

•14. Find the limit!

20

11lim

x x