A thirsty soldier out on a survival exercise is at point P on a straight track through the desert. She desperately wants to reach a waterhole at point W. She can walk at 8 km/h along the track, but only at 3 km/h through the soft sand off the track. Determine, using the steps below, how far along the track from P she should walk before setting off in a straight line for the waterhole, so that she reaches the waterhole in minimum time. A) Define suitable variables and units n = distance on track (KM) desert W ?=g in track ->change 2 2 km 3km/ n * 3 km 8km/h > 3-m T= time spent on track (n) B) Derive an equation for the quantity to be minimized, remembering that time = distance/speed. पू T= 1/8 + == M 8 T √(3-0)4 3 = C) Determine a sensible domain for the independent variable and explain why it is sensible. [0,3]. -> all the distare possible. D) Draw a sketch of the function in (B) with this domain and a suitable range for the dependent variable. (Use your T184 to help with this) 0.991
A thirsty soldier out on a survival exercise is at point P on a straight track through the desert. She desperately wants to reach a waterhole at point W. She can walk at 8 km/h along the track, but only at 3 km/h through the soft sand off the track. Determine, using the steps below, how far along the track from P she should walk before setting off in a straight line for the waterhole, so that she reaches the waterhole in minimum time. A) Define suitable variables and units n = distance on track (KM) desert W ?=g in track ->change 2 2 km 3km/ n * 3 km 8km/h > 3-m T= time spent on track (n) B) Derive an equation for the quantity to be minimized, remembering that time = distance/speed. पू T= 1/8 + == M 8 T √(3-0)4 3 = C) Determine a sensible domain for the independent variable and explain why it is sensible. [0,3]. -> all the distare possible. D) Draw a sketch of the function in (B) with this domain and a suitable range for the dependent variable. (Use your T184 to help with this) 0.991
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![A thirsty soldier out on a survival exercise
is at point P on a straight track through the
desert. She desperately wants to reach a
waterhole at point W. She can walk at 8
km/h along the track, but only at 3 km/h
through the soft sand off the track.
Determine, using the steps below, how far
along the track from P she should walk
before setting off in a straight line for the
waterhole, so that she reaches the
waterhole in minimum time.
A) Define suitable variables and units
n = distance on track (KM)
desert
W
?=g
in track
->change
2
2 km
3km/
n
*
3 km
8km/h
> 3-m
T= time spent on track (n)
B) Derive an equation for the quantity to be minimized, remembering that time = distance/speed.
पू
T= 1/8 +
==
M
8
T
√(3-0)4
3
=
C) Determine a sensible domain for the independent variable and explain why it is sensible.
[0,3].
-> all the distare possible.
D) Draw a sketch of the function in (B) with this domain and a suitable range for the dependent variable.
(Use your T184 to help with this)
0.991](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F658feec0-16d4-4a3c-a64d-8c2c3aa94e72%2F50509cc8-3134-4462-9a57-0834238fc66a%2Fys2if9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A thirsty soldier out on a survival exercise
is at point P on a straight track through the
desert. She desperately wants to reach a
waterhole at point W. She can walk at 8
km/h along the track, but only at 3 km/h
through the soft sand off the track.
Determine, using the steps below, how far
along the track from P she should walk
before setting off in a straight line for the
waterhole, so that she reaches the
waterhole in minimum time.
A) Define suitable variables and units
n = distance on track (KM)
desert
W
?=g
in track
->change
2
2 km
3km/
n
*
3 km
8km/h
> 3-m
T= time spent on track (n)
B) Derive an equation for the quantity to be minimized, remembering that time = distance/speed.
पू
T= 1/8 +
==
M
8
T
√(3-0)4
3
=
C) Determine a sensible domain for the independent variable and explain why it is sensible.
[0,3].
-> all the distare possible.
D) Draw a sketch of the function in (B) with this domain and a suitable range for the dependent variable.
(Use your T184 to help with this)
0.991
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