Homework Help is Here – Start Your Trial Now!
Math
Calculus
The tide depth in Deep Cove, British Columbia, from 4:00 to 15:00 on January 6, 2011, can be modelled accurately by the polynomial function: f(t) = 0.001t³0.055t² + 0.845t +0.293 where f(t) is the tide depth in metres and t is the number of hours after midnight. a) What is the tide depth at 14:00 on January 6 (to the nearest tenth of a metre)?

The tide depth in Deep Cove, British Columbia, from 4:00 to 15:00 on January 6, 2011, can be modelled accurately by the polynomial function: f(t) = 0.001t³0.055t² + 0.845t +0.293 where f(t) is the tide depth in metres and t is the number of hours after midnight. a) What is the tide depth at 14:00 on January 6 (to the nearest tenth of a metre)?

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question
100%

Currently stuck on this practice question! trying to understand it better but struggling. It's for my Polynomial Unit

2. The tide depth in Deep Cove, British Columbia, from 4:00 to 15:00 on January 6, 2011, can be modelled accurately by the polynomial function: f(t) = 0.001t ³-0.055t² + 0.845t + 0.293 where f(t) is the tide depth in metres and t is the number of hours after midnight. a) What is the tide depth at 14:00 on January 6 (to the nearest tenth of a metre)? b) When is the tide depth the greatest on January 6? c) What are the restrictions on the variable t? Does this match the domain of the function? d) How would you use this data to determine the tide depth on January 7, 2011?
Transcribed Image Text:2. The tide depth in Deep Cove, British Columbia, from 4:00 to 15:00 on January 6, 2011, can be modelled accurately by the polynomial function: f(t) = 0.001t ³-0.055t² + 0.845t + 0.293 where f(t) is the tide depth in metres and t is the number of hours after midnight. a) What is the tide depth at 14:00 on January 6 (to the nearest tenth of a metre)? b) When is the tide depth the greatest on January 6? c) What are the restrictions on the variable t? Does this match the domain of the function? d) How would you use this data to determine the tide depth on January 7, 2011?
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS