Problem 3. A farmer has a rectangular field with dimensions 200m (north) by 150m (east). A sheep is put on a 20 meter leash whose end is tied to a pole. (Hint: Draw the situation!) (a) Assume the south west corner of the field is the origin of a coordinate system. The pole is placed at 40 meters east and 20 meters north from this origin. Will the sheep be able to eat grass from the neighbor's field? If so, where? (b) Same situation as in (a). But the pole is now put 180m north and 160m east. Will the sheep be able to eat grass from the neighbor's field? If So, where?

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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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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Problem 3. A farmer has a rectangular field with dimensions 200m (north) by 150m
(east). A sheep is put on a 20 meter leash whose end is tied to a pole. (Hint: Draw the
situation!)
(a) Assume the south west corner of the field is the origin of a coordinate system. The
pole is placed at 40 meters east and 20 meters north from this origin. Will the sheep
be able to eat grass from the neighbor's field? If so, where?
(b) Same situation as in (a). But the pole is now put 180m north and 160m east. Will
the sheep be able to eat grass from the neighbor's field? If so, where?
Transcribed Image Text:Problem 3. A farmer has a rectangular field with dimensions 200m (north) by 150m (east). A sheep is put on a 20 meter leash whose end is tied to a pole. (Hint: Draw the situation!) (a) Assume the south west corner of the field is the origin of a coordinate system. The pole is placed at 40 meters east and 20 meters north from this origin. Will the sheep be able to eat grass from the neighbor's field? If so, where? (b) Same situation as in (a). But the pole is now put 180m north and 160m east. Will the sheep be able to eat grass from the neighbor's field? If so, where?
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