The high and low tides for a small fishing dock are listed as Low 8ft at 3:00AM, High 15ft at 12:30PM, and Low again at 10:00PM. Capt. Sierra has a delivery of fishing supplies to make at the dock, but her boat needs 11ft of water to get into the dock. a. Assuming the tide follows a sinusoidal pattern; write an equation for the depth of the water in terms of time, b. Capt. Sierra is scheduled to deliver her goods at 8:0OAM. Will she be able to get into the dock and make the delivery? c. Find the first time that the water will be at 12ft. : y = -3.5 cos 2z + 11.5 : y = -3.5 cos 2 (z - 3) + 11.5 : y = -7 cos ÷(z – 3) + 11.5 : 5:11 AM : 8:11 AM : 12:01 AM : 3:01 AM : y = -7 cos + 11.5 : yes : no 3. 4. Next
The high and low tides for a small fishing dock are listed as Low 8ft at 3:00AM, High 15ft at 12:30PM, and Low again at 10:00PM. Capt. Sierra has a delivery of fishing supplies to make at the dock, but her boat needs 11ft of water to get into the dock. a. Assuming the tide follows a sinusoidal pattern; write an equation for the depth of the water in terms of time, b. Capt. Sierra is scheduled to deliver her goods at 8:0OAM. Will she be able to get into the dock and make the delivery? c. Find the first time that the water will be at 12ft. : y = -3.5 cos 2z + 11.5 : y = -3.5 cos 2 (z - 3) + 11.5 : y = -7 cos ÷(z – 3) + 11.5 : 5:11 AM : 8:11 AM : 12:01 AM : 3:01 AM : y = -7 cos + 11.5 : yes : no 3. 4. Next
Calculus: Early Transcendentals
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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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Transcribed Image Text:The high and low tides for a small fishing dock are listed as Low 8ft at 3:00AM, High 15ft at 12:30PM, and Low again at 10:00PM. Capt. Sierra has a
delivery of fishing supplies to make at the dock, but her boat needs 11ft of water to get into the dock.
a. Assuming the tide follows a sinusoidal pattern; write an equation for the depth of the water in terms of time.
b. Capt. Sierra is scheduled to deliver her goods at 8:00AM. Will she be able to get into the dock and make the delivery?
c. Find the first time that the water will be at 12ft.
:: y = -3.5 cos 2r + 11.5
: y = -3.5 cos 2 (r – 3) + 11.5
: y = -7 cos ÷(1 – 3) + 11.5
: yes
: 5:11 AM
:: 8:11 AM
: 12:01 AM
: 3:01 AM
: y = -7 cos x + 11.5
: no
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