Question 1

Find the indicated limit, if it exists. 
A) 
B) 
C) 
D) 
E)The limit does not exist.

Accepted Answer

The answer of Find the indicated limit, if it exists....

Question 2

The base salary of a salesman working on commission is $13,000.For each $50,000 of sales beyond $100,000 he is paid a $1,000 commission.Select a graph showing his earnings as a function of the level of his sales x.    Select the correct graph.Answer A, B, or 
C.__________
Determine the values of x for which the function f is discontinuous.Give the least three values of x.  __________

Accepted Answer

The answer of The base salary of a salesman working...

Question 3

Determine all values of x at which the function is discontinuous.   __________

Accepted Answer

The answer of Determine all values of x at which...

Question 4

Find the indicated limit. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the indicated limit. 
A) 
B) 
C)...

Question 5

Complete the table by computing  at the given values of x.Use the results to guess at  if it exists.  
A)x 1 5 10 100 1,000 f(x) 18 614 4,989 4,990,089 4,999,000,089

B)x 1 5 10 100 1,000 f(x) 18 614 4,439 4,989,539 4,998,999,539

C)x 1 5 10 100 1,000 f(x) 18 614 5,896 4,990,996 4,999,000,996

D)x 1 5 10 100 1,000 f(x) 18 614 4,914 4,990,014 4,999,000,014

Accepted Answer

Based on the given values of x, the function f(x) seems to be increasing exponentially. Therefore, by extrapolation, a reasonable guess for 11eb12b0_aa55_8eec_b394_41b40fc79177_TB7866_11 would be the value obtained by plugging in a large value of x, such as 1,000 or 10,000. The closest value to these options is 1,000, so plugging in x = 10,000 may result in some error. Based on this logic, choice D with x=1,000 seems to be the best guess for the missing value.

Question 6

Find the values of x for which the function is continuous.

Accepted Answer

The answer of Find the values of x for which...

Question 7

Find the limit, if it exists. 
A) 
B) 
C) 
D) 
E)The limit does not exist

Accepted Answer

The answer of Find the limit, if it exists. 
A)...

Question 8

Determine all values of x at which the function is discontinuous.   __________

Accepted Answer

The answer of Determine all values of x at which...

Question 9

The total worldwide box-office receipts for a long-running blockbuster movie are approximated by the function  where  is measured in millions of dollars and  is the number of months since the movie's release.What are the total box-office receipts after the first month? The second month? The third month? What will the movie gross in the long run (when  is very large)?
A)After the 1st month: $150 million; after the 2nd month: $103.8 million; after the 3rd month: $75 million; in the long run: $30 million.
B)After the 1st month: $37.5 million; after the 2nd month: $103.8 million; after the 3rd month: $75 million; in the long run: $30 million.
C)After the 1st month: $30 million; after the 2nd month: $75 million; after the 3rd month: $103.8 million; in the long run: $150 million.
D)After the 1st month: $30 million; after the 2nd month: $75 million; after the 3rd month: $103.8 million; in the long run: $37.5 million.
E)After the 1st month: $30 million; after the 2nd month: $75 million; after the 3rd month: $103.7 million; in the long run: $150 million.

Accepted Answer

The answer of The total worldwide box-office receipts for a...

Question 10

Find the indicated limit, if it exists. 
A) 
B) 
C) 
D) 
E)The limit does not exist.

Accepted Answer

The answer of Find the indicated limit, if it exists....

Question 11

Refer to the graph of the function f and determine whether the statement below is true or false.

Accepted Answer

The answer of Refer to the graph of the function...

Question 12

Sketch the graph of the function  and evaluate  , if it exists, for the given value of  . 
A)  
B)  
C)  
D)  
E)

Accepted Answer

The answer of Sketch the graph of the function ...

Question 13

Find the limit. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the limit. 
A) 
B) 
C) 
D)...

Question 14

Find the limit, if it exists. 
A) 
B) 
C) 
D)The limit does not exist

Accepted Answer

The answer of Find the limit, if it exists. 
A)...

Question 15

Find the limit. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the limit. 
A) 
B) 
C) 
D)...

Question 16

Find the indicated limit, if it exists. 
A) 
B) 
C) 
D) 
E)The limit does not exist.

Accepted Answer

The answer of Find the indicated limit, if it exists....

Question 17

The function P, whose graph follows, gives the prime rate (the interest rate banks charge their best corporate customers) as a function of time for the first 32 wk during a year.Determine the values of t for which P is discontinuous.   __________

Accepted Answer

The answer of The function P, whose graph follows, gives...

Question 18

Find the limit. 
A)2
B)40
C)-8
D)-18
E)24

Accepted Answer

The answer of Find the limit. 
A)2
B)40
C)-8
D)-18
E)24...

Question 19

Joan is looking straight out a window of an apartment building at a height of 30 ft from the ground.A boy throws a tennis ball straight up by the side of the building where the window is located.Suppose the height of the ball (measured in feet) from the ground at time t is  At what time(s) does the ball cross Joan's line of sight?

Accepted Answer

The answer of Joan is looking straight out a window...

Question 20

Determine all values of x at which the function is discontinuous.   __________

Accepted Answer

The answer of Determine all values of x at which...

Quiz 2: Functions, Limits and the Derivative

Find the indicated limit, if it exists.

Determine all values of x at which the function is discontinuous. __________

Find the indicated limit.

Complete the table by computing at the given values of x.Use the results to guess at if it exists.

Find the values of x for which the function is continuous.

Find the limit, if it exists.

Determine all values of x at which the function is discontinuous. __________

Find the indicated limit, if it exists.

Refer to the graph of the function f and determine whether the statement below is true or false.

Sketch the graph of the function and evaluate , if it exists, for the given value of .

Find the limit.

Find the limit, if it exists.

Find the limit.

Find the indicated limit, if it exists.

The function P, whose graph follows, gives the prime rate (the interest rate banks charge their best corporate customers) as a function of time for the first 32 wk during a year.Determine the values of t for which P is discontinuous. __________

Find the limit.

Determine all values of x at which the function is discontinuous. __________