9. Two posts, one 5 m high and the other 7 m high, stand 10 m apart. They are secured by two ropes attached to a stake in the ground somewhere between the two posts. Use Calculus to determine where the stake must be placed to use the least amount of rope, and state this minimum length. Include a well labeled diagram and store your intermediate answers in a calculator, then round to one decimal.
9. Two posts, one 5 m high and the other 7 m high, stand 10 m apart. They are secured by two ropes attached to a stake in the ground somewhere between the two posts. Use Calculus to determine where the stake must be placed to use the least amount of rope, and state this minimum length. Include a well labeled diagram and store your intermediate answers in a calculator, then round to one decimal.
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:9.
Two posts, one 5 m high and the other 7 m high, stand 10 m apart. They are secured
by two ropes attached to a stake in the ground somewhere between the two posts.
Use Calculus to determine where the stake must be placed to use the least amount of
rope, and state this minimum length. Include a well labeled diagram and store
your intermediate answers in a calculator, then round to one decimal.
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