Math

profilenader321

 

 

These questions 

 

 

(1 pt) Suppose that an object moves along the y-axis sot hat its location

 is x x is in seconds.)

2

+8at time x. (Here is in meters and 

 

(A) Find the average velocity (the average rate of change of with respect to x) for changing from 2 to 9 seconds (include units).

Average velocity =

(B) Find the average velocity for changing from 5 to 5 seconds.

Average velocity =

(C) Find the instantaneous velocity at 5 seconds (include units).

Instantaneous velocity =

Answer(s) submitted:

• 19 m/s
• 

• 18 m/s

(score 0.6666666865348816) 

 

 

 

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2 The cost (in dollars) of producing units of a certain commodity is

C(x) = 6500 190.2x2.

(a) Find the average rate of change of with respect to when the production level is changed

(i) from 100 to 105. Average rate of change =
(ii) from 
100 to 101. Average rate of change =

(b) Find the instantaneous rate of change of with respect to when 100. (This is called the marginal cost.)

Instantaneous rate of change = 

 

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4. (1 pt)

Let (x) = x− 2x. Calculate the difference quotient f(3+h)f(3for

h=.1

h=.01
h=.01
h=.1
If someone now told you that the derivative (slope of the tangent line to the graph) of 
(xat 3 was an integer, what would you expect it to be?

Answer(s) submitted:

• • • • •

 

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 5. (1 pt)

Let (x) = . Calculate the difference quotient x4

f(1+h)f(1for h

h=.1
h=.01
h=.01
h=.1
If someone now told you that the derivative (slope of the tangent line to the graph) of 
(xat 1 was 1/nfor some integer what would you expect to be?

n=

 

 

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6. (1 pt) 

Let (x) = 5. Calculate the difference quotient f(11+h)f(11for

h=.1

h=.01 

 

h=.01
h=.1
If someone now told you that the derivative (slope of the tangent line to the graph) of 
(xat 11 was 1/for some integer whatwouldyouexpectntobe?
n

 

 

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