Airport parking Long-term parking at Savannah Airport is free for the first half-hour and costs $1.00 for each hour or part of an hour thereafter. If C = C ( t ) is the charge for t hours in Savannahs long-term parking, create a table of values for parking costs close to t = 1/2 and t = 2 and use them to find the following limits, if they exist. (a) lim t → 0.5 C ( t ) (b) lim t → 0.5 C ( t ) (c) lim t → 0.5 C ( t ) (d) lim t → 2 C ( t )
Solution Summary: The author explains how to calculate the value of the limit undersettto0.5-mathrmlimC(t)) using the function describing the total
Airport parking Long-term parking at Savannah Airport is free for the first half-hour and costs $1.00 for each hour or part of an hour thereafter. If
C
=
C
(
t
)
is the charge for t hours in Savannahs long-term parking, create a table of values for parking costs close to t = 1/2 and t = 2 and use them to find the following limits, if they exist.
Movie expenditures, in billions of dollars, on advertising in a certain format from 1995 to 2004 can be approximated by
f(t) =
0.04t + 0.33
if t ≤ 4
−0.01t + 1.5
if t > 4,
where t is time in years since 1995.
(a)
Compute
lim t→4− f(t).
(If an answer does not exist, enter DNE.)
Interpret the answer.
Shortly 1999 (t = 4), annual advertising expenditures were close to $ billion.
Compute
lim t→4+ f(t).
(If an answer does not exist, enter DNE.)
Interpret the answer.
Shortly 1999 (t = 4), annual advertising expenditures were close to $ billion.
(b)
Is the function f continuous at t = 4?
YesNo
What does the answer tell you about movie advertising expenditures?
Movie advertising expenditures in 1999.
1. Evaluate lim (2x-5) given its graph below.
x →2
a.0 b. -1 c. 2 d. 1
2. Given the graph of f(x) below, evaluate its limit as x approaches 3.
a.2 b. 3 c. 1 d. 0
limit as x→−∞ 4/(e^x+7)=0 Enter the left-hand asymptote: y=
Chapter 9 Solutions
Mathematical Applications for the Management, Life, and Social Sciences
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