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A boat floating in the sea rises and falls with the waves. A sailor on the boat will also rise and fall with the boat. The function f (t) 12sin (t) + 8 measures the sailor's altitude above sea-level, in feet, where t is measured in seconds. (a) What is the maximum altitude of the sailor? (b) What is the length of time between successive periods of maximum altitude? (c) Find a time when the sailor is 3 feet below sea-level. Use an algebraic process to solve this problem and write your final answer as a decimal rounded to three places.

A boat floating in the sea rises and falls with the waves. A sailor on the boat will also rise and fall with the boat. The function f (t) 12sin (t) + 8 measures the sailor's altitude above sea-level, in feet, where t is measured in seconds. (a) What is the maximum altitude of the sailor? (b) What is the length of time between successive periods of maximum altitude? (c) Find a time when the sailor is 3 feet below sea-level. Use an algebraic process to solve this problem and write your final answer as a decimal rounded to three places.

Advanced Engineering Mathematics
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 9C.)
9. A boat floating in the sea rises and falls with the waves. A sailor on the boat will also rise and fall with the boat. The function f (t) = 12sin (t) + 8 measures the sailor's altitude above sea-level, in feet, where t is measured in seconds. (a) What is the maximum altitude of the sailor? (b) What is the length of time between successive periods of maximum altitude? (c) Find a time when the sailor is 3 feet below sea-level. Use an algebraic process to solve this problem and write your final answer as a decimal rounded to three places.
Transcribed Image Text:9. A boat floating in the sea rises and falls with the waves. A sailor on the boat will also rise and fall with the boat. The function f (t) = 12sin (t) + 8 measures the sailor's altitude above sea-level, in feet, where t is measured in seconds. (a) What is the maximum altitude of the sailor? (b) What is the length of time between successive periods of maximum altitude? (c) Find a time when the sailor is 3 feet below sea-level. Use an algebraic process to solve this problem and write your final answer as a decimal rounded to three places.
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