An emergency patrol boat is patrolling a river. The river has a 5 km/h current. The patrol boat travels 10 km upriver and 10 km back. The total time, t, in hours, for the round trip is given by the function: t= 200 Where v is the speed of the boat in kilometres per V²-25 hour. a) State the domain and range for this function. b) Sketch the graph over the domain determined in part a). Make sure the graph clearly reflects a real-life situation. This means that time and speed cannot be negative. Label the axis with the variable and title they represent. c) Determine the speed of the boat if the round trip took 1.5h.

An emergency patrol boat is patrolling a river. The river has a 5 km/h current. The patrol boat travels 10 km upriver and 10 km back. The total time, t, in hours, for the round trip is given by the function: t= 200 Where v is the speed of the boat in kilometres per V²-25 hour. a) State the domain and range for this function. b) Sketch the graph over the domain determined in part a). Make sure the graph clearly reflects a real-life situation. This means that time and speed cannot be negative. Label the axis with the variable and title they represent. c) Determine the speed of the boat if the round trip took 1.5h.

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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Question

An emergency patrol boat is patrolling a river. The river has a 5 km/h
current. The patrol boat travels 10 km upriver and 10 km back. The
total time, t, in hours, for the round trip is given by the function:
t= 200
Where v is the speed of the boat in kilometres per
V- 25 hour.
a) State the domain and range for this function.
b) Sketch the graph over the domain determined in part a). Make
sure the graph clearly reflects a real-life situation. This means that
time and speed cannot be negative. Label the axis with the variable
and title they represent.
c) Determine the speed of the boat if the round trip took 1.5h.

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