Test bank for applied calculus brief 6th edition by berresford

Test Bank for Applied Calculus Brief 6th Edition by Berresford Link full download: https://getbooksolutions.com/download/test-bank-for-applied-calculus-brief-6th-edition-by-berresford

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Test Bank for Applied Calculus Brief 6th Edition by

Berresford

Link full download:

https://getbooksolutions.com/download/test-bank-for-applied-calculus-brief-6th-edition-by-berresford

Chapter 2 Derivatives And Their Uses

1 Complete the table and use it to predict the limit, if it exists

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4 Use properties of limits and algebraic methods to find the limit, if it exists

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Berresford/Rockett, Brief Applied Calculus, 6e

7 Use properties of limits and algebraic methods to find the limit, if it exists

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11 Find lim f ( x) for the graph of f ( x) given below

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14 For the given x-value, use the figure to determine whether the function is continuous or discontinuous at that x-value

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18 Determine whether the given function is continuous If it is not, identify where it

is discontinuous You can verify your conclusions by graphing the function with a graphing utility, if one is available

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state whether the slopes are

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20 Which graph represents f(x) if the graph of f ( x) is displayed below?

A)

B)

C)

D)

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24 For the function in this problem, find the instantaneous rate of change of the function

at the given value

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32 An automobile dealership finds that the number of cars that it sells on day x of an

rate of change on day x 2

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33 Differentiate the given function

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37 Find the derivative of the function

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45

If f xx5 , find df

dx

A) df

–32 x –2

dx

B) x –2

df

–192

dx

C) x –2

df

320

dx

D)

x –2

df

–128

dx

E) x –2

df

80

dx

x –2

Ans: E

46 If f x 250 30

find df

x , dx x 25 A) df x

2

dx

B) x 25

df

–2

dx

C) x 25

df

10

dx

D) x 25

df

–10

dx

E) x 25

df

4

dx x 25

Ans: A

47 Suppose the Marginal Cost Businesses can buy multiple licenses for PowerZip data compression software at a total cost of approximately C x 24x2 3 dollars forx licenses Find the derivative of this cost function at x64 A) C 64 8

B) C 644

C) C 642

D)

C 64 12

E) C 64 6

Ans: B

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48 Suppose the number of people newly inflected on day t of a flu epidemic is

f t 13t 2 t 3 (for 0 t 13) Find the instantaneous rate of change of this number on

day 10

A) f 10 300

B) f 10–27 C) f 10–40 D) f 10 230

E) f 10 60 Ans: C 49

6 Find the derivative of f x 3 x 8 x 1 by using the Product Rule Simplify your answer

A) f x 1 32 3

x

3 x2

B) f x 6 32 3

x

3 x2

C) f x 6 64 3 x

3 x2

D) f x 2 64 3 x

3 x2

E) f x 2 32 3 x

3 x2

Ans: D

50 Find ds if s t6 8 t3 8

dt

D) 9t 8 6t 5 3t 2

Ans: E

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51 Find the derivative, but do not simplify your

Simplify your answer

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54 Find the indicated derivative and simplify

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60 If the cost C (in dollars) of removing p percent of the particulate pollution from the

thousand Find the rate of change of the sales after 2 months in thousands per month

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Berresford/Rockett, Brief Applied Calculus, 6e 67.

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71 Find the third derivative

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Berresford/Rockett, Brief Applied Calculus, 6e 74.

Find the second derivative of the function 2 x 7

75 If the formula describing the distance s (in feet) an object travels as a function of time t

velocity after 6 hours

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Ans: C

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units Find the marginal cost function and evaluate it for x 30 Round your answer to

two decimal places

93 If $1800 is deposited in a bank paying r% interest compounded annually, 5 years later

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94 For the function displayed in the graph below, find all x-values at which the derivative does not exist

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97 Use the numerical derivative function on a graphing calculator to calculate the

x2

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