A person will travel from camp 1 to camp 2 by first walking parallel to the shoreline some distance and then swimming diagonally across the pond. Given L = 11 miles, the walking speed is 10 mph and the swimming speed is 5 mph, we wish to determine the value of that minimizes the travel time. x ㅅㅅㅅㅅㅅ I= ㅅㅅ L (a) Determine the total travel time as a function of x. Note: DR.T-T- miles C₂ T = T(x) = (b) Using a TI calculator or other graphing device, determine the value of that minimizes the total travel time. Round to 3 decimal places (c) The total travel time is(round to 3 decimal places) T = D R hours 2 miles

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A person will travel from camp 1 to camp 2 by first walking parallel to the shoreline some distance and
then swimming diagonally across the pond.
Given L = 11 miles, the walking speed is 10 mph and the swimming speed is 5 mph, we wish to determine
the value of that minimizes the travel time.
C₁
ㅅ
人人人人人
ㅅㅅ
L
رسد
miles
ㅅㅅㅅ
ㅅ
(a) Determine the total travel time as a function of x. Note: DR.T⇒T-
(c) The total travel time is(round to 3 decimal places) T
C₂
AS
hours
D
T = T(x) =
(b) Using a TI calculator or other graphing device, determine the value of that minimizes the total travel
time. Round to 3 decimal places
R
2 miles
Transcribed Image Text:A person will travel from camp 1 to camp 2 by first walking parallel to the shoreline some distance and then swimming diagonally across the pond. Given L = 11 miles, the walking speed is 10 mph and the swimming speed is 5 mph, we wish to determine the value of that minimizes the travel time. C₁ ㅅ 人人人人人 ㅅㅅ L رسد miles ㅅㅅㅅ ㅅ (a) Determine the total travel time as a function of x. Note: DR.T⇒T- (c) The total travel time is(round to 3 decimal places) T C₂ AS hours D T = T(x) = (b) Using a TI calculator or other graphing device, determine the value of that minimizes the total travel time. Round to 3 decimal places R 2 miles
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