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Mathematics
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Applied Calculus
Quiz 2: Functions, Limits and the Derivative
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Question 81
Essay
Determine all values of x at which the function is discontinuous.
__________
Question 82
Multiple Choice
Find the limit.
Question 83
Multiple Choice
Find the limit, if it exists.
Question 84
Multiple Choice
Find the indicated limit, if it exists.
Question 85
Multiple Choice
Find the limit.
Question 86
Essay
Determine all values of x at which the function is discontinuous.
__________
Question 87
Essay
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.
__________
Question 88
Multiple Choice
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) ?
Question 89
Multiple Choice
Find the indicated limit.
Question 90
Multiple Choice
Find the indicated limit, if it exists.
Question 91
Multiple Choice
Find the indicated limit, if it exists.
Question 92
Essay
Determine all values of x at which the function is discontinuous.
__________
Question 93
Multiple Choice
Sketch the graph of the function
and evaluate
, if it exists, for the given value of
.
Question 94
Essay
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.
__________
Question 95
Essay
Refer to the graph of the function f and determine whether the statement below is true or false.
Question 96
Multiple Choice
Find
given that
and
.
Question 97
Multiple Choice
Complete the table by computing
at the given values of x. Use the results to guess at
if it exists.
Question 98
Multiple Choice
Find the limit.