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8/11/2019 Workout MAC2233 Exam 1 Grade Saver Packet #2 Spring 14 Notes
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Ednys MAC2233 Exam 1 Grade Saver Packet #2
Exam
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Section 3.7 (New Shit)
1. If the cost for producing items is given by () = 777 + 13 0.25 2,find the marginal cost function at = 10
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2.
A) If the cost function of weed is () = 45
2 420 26, find me theaverage cost function of that shit on the streets.
B)If the average cost function for a beer is given by () = 9
71 3, find the cost function, C
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3. The price p is the price and the demand x related by the equation
= 23
+ 4500and the cost function is () = 7200 + 9A. Find the revenue function, ()B.
Find the revenue function, ()
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4. The revenue is () = 45
2 + 8405and the cost function is() = 1700 + 5
What is the profit function?
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5. If the cost function is() = 10 6 + 2, find me the marginal averagecost function of h.
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6. The total cost (in dollar) of producing x units of a product is given by the
function (). Which of the following expressions represents the exactcost from production of the 27th unit?
A.
(27)
B. (27) (26)
C. (26)D. (28) (27)
7. The total revenue (in dollar) of producing x units of a product is given by
the function (). Which of the following expressions would best be usedto represents the approximaterevenue from production of the 13th unit?A. (13)B. (13) (12)C. (12)D. (12) (11)
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8.
The profit (in dollars) of producing x units of a product is given by the function
(). Which of the following statements best represents a correct interpretationof (7) = $69?
a) At a production level of 7units, a unit increase in production decrease
marginal revenue by approximately $69.
b) At a production level of 69units, a unit increase in production increase
total revenue by approximately $7.
c) At a production level of 69units, total revenue by approximately $7.
d) At a production level of 7units, a unit increase in production decrease
total revenue by approximately $69.
e) At a production level of 7units, total revenue by approximately $69.
f) At a production level of 7units, a unit increase in production increase
total revenue by approximately $69.
g) At a production level of 7units, a unit decrease in production decrease
total revenue by approximately $69.
h)
At a production level of 69units, a unit increase in production decrease
total revenue by approximately $7.
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Section 3.1 thru 3.6 (Old Shit)
17.
Find if () = 89 4 13 5 + 32 10 4 + 135
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18. For the graph of () = 33 at =1
8
a) Find the slope at = 18
b) Find the marginal profit at
=
1
8
c) Find the velocity when = 18d) Find the instantaneous rate of change of ()at = 1
8(or rate of change)
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19. Given() = 5 2, find ( + ) ( ) when = 1 and 0
20. If() = 13 8 2, find (4+ )(4) , 0
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21.
If() = 2 + 6 2, find lim 0 (3+ )(3)
22. If() = 3 9 2 2, find ( + )( ) , 0
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23. If() = 7 2 , find lim 0 (3+ )(3)
24. If() = 1 + 6 , find ( + )( )
, 0
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25.
Part A: Find lim 0 4( + )2 +4 2
Part B: Find lim 0 [7( + )2 5( + )][7 2 5 ]
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26.
Given() = 2a) Find the slope of the secant line connecting the points (4,
(4)) and
( 9, (9))b) Find the average velocity from = 4 to = 9c) find the average rate of change in when changes from 4 to 9
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27. Use the graph to find:
a) lim 2+ () =b) lim 2 () =c) lim 2 () =
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28.Given the following figure, at what points does ()exist or does not exist
Where is the derivative does not exist?
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29.
Use the following expression and the definition of derivative to ():
(
+
)
(
) = 7
2
2
5
4
9
3
4
+ 3
2
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30.
Find lim 3 2( )5 ( )
( ) , if lim 3 () = 4and lim 3 () = 2
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31.Find lim 8 |8| 8
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32. Find lim 3 +3( +2)2 1
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33. Find lim 9 9 3
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34. Find lim 81
8+
1
8 +
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35.
Find lim 1 21 2 1 +1
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36.
Find lim 0 2 + , > 0
37. If() = 3 2 2 , find (5)(3)5(3)
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38.
Given () = + 3, 45 2, < 4 , find such that lim 4 ()exists
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39.
Given () = 9 2, 32 + 4, < 3 ,
a)
find lim 3 ()
b)
find lim 3+ ()
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40.
(2) = 3, (2) = 4, (2) = 7, and (2) = 1a) Find
(2)if
(
) = 2
(
)
8
(
) + 13
b) Find (2)if () = ( ) ( )
c)
Find (2)if () = ()()
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41. When is the latest I can call Edny at (850) 597-1063 with a math question?
a) 5AM
b) Never, because I dont want his wife to think he is answering a booty
call
c)
No way man, I dont wake him up from his sleep
d) Shit, I didnt need any help because I magic fairy dust to sprinkle on
the exam
e) In the morning when he wakes up.
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42.
Find
6 814 (1515 + 7)
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43.
Part A: Find the derivative of = 5 4 7 33
Part B: Find the derivative of = 5 4 7 33
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44.
Find ()if() = 3 8 3 7 4 5+2 4
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45.
The blah-blah of blah, blah, blah of more blah-blah is given by () = 23
,(
)
(
).
Find the instantaneous rate of change of ()at = 6
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46.
One of the values of x for which the graph of () = ( 3 + 2)( 1)3has ahorizontal tangent line is
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47. Find the equation of the tangent line to the graph of
() = 5 3 2at = 2
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48. One of the values of x for which the graph of () = 4(16 )3has a
horizontal tangent line is
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49.
The total number of hot looking girls (in hundreds) present in Strozier Library is
given by() = 6 99 + 69, where represents time (in minutes). Find theinstantaneous rate of change of ()at = 1
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50. Whats the best way to reach Edny with an math question?
a) Text Message
b) E-mail
c) Airplane
d)
Phone
e) Psychic Telecommunication (A.K.A Mind Reading)
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51. Find
2 9
78
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52. Find the equation of the tangent line to the graph of = (5 + 4)2at = 1
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53.
The mood swings of girls can be calculated with the equation() = 1232
Find the rate of change of
(
)at
= 6