9. At high tide, the water level at a particular boat dock is 9 feet deep. At low tide the water is 3 feet deep. Ot a certain day, the low tide occurs at 3AM and the high tide occurs at 11am. Use time at t, where t = 3 is 3AM. a. Write a sine model for the height of the tide at time t. 16 ドー3 silx -7) +6 12 3pm Bam 6 b. What is the water level at 2PM? IT 6 =3sin しょ-7) sin -7). c. At what times within one tide cycle (starting at 3AM) will the water level be 7 feet deep? Show work!

Calculus: Early Transcendentals
8th Edition
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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p. At high tide, the water level at a particular boat dock is 9 feet deep. At low tide the water is 3 feet deep. Ot a
certain day, the low tide occurs at 3AM and the high tide occurs at 11am. Use time at t, where t = 3 is 3AM.
a. Write a sine model for the height of the tide at time t.
TT
16
Y=-3 sin X-7) 16
12 3pm
3am 6
b. What is the water level at 2PM?
+4= 3sin x-7)+6
=3sinx-7)
5- sin-7).
c. At what times within one tide cycle (starting at 3AM) will the water level be 7 feet deep? Show work!
Transcribed Image Text:p. At high tide, the water level at a particular boat dock is 9 feet deep. At low tide the water is 3 feet deep. Ot a certain day, the low tide occurs at 3AM and the high tide occurs at 11am. Use time at t, where t = 3 is 3AM. a. Write a sine model for the height of the tide at time t. TT 16 Y=-3 sin X-7) 16 12 3pm 3am 6 b. What is the water level at 2PM? +4= 3sin x-7)+6 =3sinx-7) 5- sin-7). c. At what times within one tide cycle (starting at 3AM) will the water level be 7 feet deep? Show work!
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