Link full download test bank for applied calculus brief 6th edition by berresford

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http://testbankair.com/download/test-bank-for-applied-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 lim –7 8x

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

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

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8 A graph of y f(x) is shown and a c-value is given For this

problem, use the graph to find lim (x)

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Berresford/Rockett, Brief Applied Calculus, 6e

11 Find limf ( x) for the graph

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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

1

At P2 : negative slope

At P3 : positive slope C) At P : zero slope

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1

At P2 : positive slope

At P3 : negative slope D) At P : positive slope

1

At P2 : positive slope

At P3 : positive slope E) At P : positive slope

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

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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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27 For the function in this problem, find the derivative, by using

29 Findf ' x off x –7 x8 by using the definition of the derivative

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32 An automobile dealership finds that the number of cars that it sells on day x of an 2

advertising campaign is S x x 18x (for 0 x 7 ) Find S'x to find the

instantaneous rate of change on day x 2

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Page 48

33 Differentiate the given function

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8

37 Find the derivative of the function

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45 Iff xx5 , find

A) df

–32

B) df

–192

dx x –2

C) df

320

D) df

–128

E) df 80

Ans: E

46 If f x 30

250

x

A) df 2

dx x 25 B) df

–2

dx x

25

C) df 10

dx x 25

D) df –10

dx x

25

E) df 4

dx x 25 Ans: A Berresford/Rockett, Brief Applied Calculus, 6e df dx x –2

x ,

find df dx x 25

47 Suppose the Marginal Cost Businesses can buy multiple licenses for PowerZip data 23 x compression software at a total cost of approximately C x 24xdollars for licenses Find the derivative of this cost function at x64

C 64 8

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A)

Ans: B

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

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C) 6t 8 48t 5 24t 2

D) 9t 8 6t 5 3t 2

5 2 E) 9t 8 48t 24t

Ans: E

51 Find the derivative, but do not

simplify your answer y7x73x39x

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Page 56

15

Find the derivative of f z z 28 z 14 1 z z by using the Product Rule

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54 Find the indicated derivative and simplify

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derivative and simplify

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removing p percent of the

particulate pollution from the exhaust gases at an industrial site is given by

find the rate of change of C with respect to p

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whiskey that a store will sell

in a month at a price of p

dollars

2250

of this quantity when the price is p

After x months, monthly sales of a compact disc are predicted to be S(x) x

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

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30x4 x4 Ans: C

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Find the second derivative of the function 2 x 7

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A)

B)

C)

2

Ans: C

feet) an object travels as a function of time

is the acceleration of the object when t 5?

A) 0 ft/sec

2

B) –34 ft/sec

2

C) –80 ft/sec2

2

E) 80 ft/sec

Ans: B

After t hours, a car is a distance s (t ) 60t t 4 miles from its starting point Find

the velocity after 6 hours

A) 51 miles/hour

B) 66 miles/hour

C) 54 miles/hour

D) 57 miles/hour E) 63 miles/hour

Ans: D

77

2 If f ( g ( x )) x 3 x 2 and f (x) x , find g ( x) A) x

56

(2 x 7)3

112

(2 x 7)3

112 (2x7)3

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B) x 3

C)

x 2 3 x 2

2 D) x 3 x 2

E)

x 3x 2

Ans: D

78. If f ( g ( x)) 8 x 2 6x and g (x ) 8x 6x , find f(x) A) 1

x B) 1 8 x 6 C) 1 8 x 2 6 x

E) 2

Ans: A 8 x 6x

79. If f (g (x)) x 4 2 and f (x ) x 2 , find g(x) x 4 A) 2

x 4

B) x x 4

C) x2

D) 1

2 x 4

E) x 4

x 4

Ans: E

80. Find f '( x) for the given function 2 2 f (x ) 3 ( x 1)

A)

4 x x2 1

8 x 6x D) 1

1

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84. Differentiate the given function

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85. Differentiate the given function.3 4

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86. Differentiate the given function

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

to two decimal places

compounded annually, 5 years later

5 its value will be V (r ) 1800(1 0.01r)

dollars Find V'(8) Round your answer to nearest cent

A) 122.44 dollars

B) 132.24 dollars

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all x-values at which the derivative does not exist

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calculator to calculate the derivative of the function f

(x) 12 at x 0 Is the calculator correct?

A) 2; No, the calculator is not correct B) 0; Yes, the calculator is correct

C) 1

2 ; No, the calculator is not correct

D) 0; No, the calculator is not

correct E) 2; Yes, the calculator is

correct Ans: D

not defined at that same point?

Ans: B

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