A t of the water, H, in feet, at a boat dock t hours after 6 A.M. is given by H=30+7 sint. Complete parts (a)-(c).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
π
The height of the water, H, in feet, at a boat dock t hours after 6 A.M. is given by H = 30 + 7 sint. Complete parts (a)-(c).
(a) Find the height of the water at the dock at 6 A.M., 9 A.M., noon, 6 P.M., midnight, and 3 A.M.
The height of the water at the dock at 6 A.M. is
The height of the water at the dock at 9 A.M. is
The height of the water at the dock at noon is
ft.
ft.
ft.
The height of the water at the dock at 6 P.M. is
The height of the water at the dock at midnight is
The height of the water at the dock at 3 A.M. is ft.
(b) When is low tide and when is high tide? Choose the correct answer below.
ft.
ft.
O A. Low tide is at noon. High tide is at midnight.
O B. Low tide is 3 A.M. High tide is at 9 A.M.
OC. Low tide is 3 A.M. and 3 P.M. High tide is at 9 A.M. and 9 P.M.
D. Low tide is 9 A.M. and 9 P.M. High tide is at 3 A.M. and 3 P.M.
O E. Low tide is 3 A.M. and 6 P.M. High tide is at 6 A.M. and 3 P.M.
O F. Low tide is 6 A.M. and 3 P.M. High tide is at 3 A.M. and 6 P.M.
(c) What is the period of this function and what does this mean about the tides?
(c) What is the period of this function and what does this mean about the tides?
The period of the function is hr. This means, that low tides occur every
hours and high tides occur every
hours.
Transcribed Image Text:π The height of the water, H, in feet, at a boat dock t hours after 6 A.M. is given by H = 30 + 7 sint. Complete parts (a)-(c). (a) Find the height of the water at the dock at 6 A.M., 9 A.M., noon, 6 P.M., midnight, and 3 A.M. The height of the water at the dock at 6 A.M. is The height of the water at the dock at 9 A.M. is The height of the water at the dock at noon is ft. ft. ft. The height of the water at the dock at 6 P.M. is The height of the water at the dock at midnight is The height of the water at the dock at 3 A.M. is ft. (b) When is low tide and when is high tide? Choose the correct answer below. ft. ft. O A. Low tide is at noon. High tide is at midnight. O B. Low tide is 3 A.M. High tide is at 9 A.M. OC. Low tide is 3 A.M. and 3 P.M. High tide is at 9 A.M. and 9 P.M. D. Low tide is 9 A.M. and 9 P.M. High tide is at 3 A.M. and 3 P.M. O E. Low tide is 3 A.M. and 6 P.M. High tide is at 6 A.M. and 3 P.M. O F. Low tide is 6 A.M. and 3 P.M. High tide is at 3 A.M. and 6 P.M. (c) What is the period of this function and what does this mean about the tides? (c) What is the period of this function and what does this mean about the tides? The period of the function is hr. This means, that low tides occur every hours and high tides occur every hours.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,