Speeding Tickets In a certain state the maximum speed per- mitted on freeways is 65 mi/h, and the minimum is 40 mi/h. The fine F for violating these limits is $15 for every mile above the maximum or below the minimum. V (a) Complete the expressions in the following piecewise defined function, where x is the speed at which you are driving. if 0 < x < 40 F(x) = if 40 ≤ x ≤ 65 if x > 65 (b) Find F(30), F(50), and F(75). (e) What do your answers in part (b) represent?
Speeding Tickets In a certain state the maximum speed per- mitted on freeways is 65 mi/h, and the minimum is 40 mi/h. The fine F for violating these limits is $15 for every mile above the maximum or below the minimum. V (a) Complete the expressions in the following piecewise defined function, where x is the speed at which you are driving. if 0 < x < 40 F(x) = if 40 ≤ x ≤ 65 if x > 65 (b) Find F(30), F(50), and F(75). (e) What do your answers in part (b) represent?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Speeding Tickets In a certain state the maximum speed per-
mitted on freeways is 65 mi/h, and the minimum is 40 mi/h.
The fine F for violating these limits is $15 for every mile
above the maximum or below the minimum. V
(a) Complete the expressions in the following piecewise
defined function, where x is the speed at which you are
driving.
if 0 < x < 40
F(x) =
if 40 ≤ x ≤ 65
if x > 65
(b) Find F(30), F(50), and F(75).
(e) What do your answers in part (b) represent?
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