A rescued whale is released into the ocean 400 meters due east of a coast guard station. The whale swims directly away from the shore. point of release coast guard station O tan(0) = O sec(0) = (a) Which of the following equations can be used to relate the angle, 0, and the distance between the whale and the point of release, x? O cos(0) = O sin(0) = O tan(0) = 400 X 400 X 400 X 400 400 X O cos² (8) de dt (b) Which of the following would be an appropriate related rate equation for the answer to part (a)? O sec² (8) de 1 dx 400 dt dt O cos² (8) de dt = O sec(0)tan (0) O sec² (8) dx dt = F 1 dx 400 dt de 8 dt = dx dt X 1 dx 400 dt whale 1 de 400 dt (c) If the whale swims at a constant rate of 60 meters per minute, how fast is the angle 9 changing when the whale is 300 meters from the point of release? Give an exact answer. radians per minute
A rescued whale is released into the ocean 400 meters due east of a coast guard station. The whale swims directly away from the shore. point of release coast guard station O tan(0) = O sec(0) = (a) Which of the following equations can be used to relate the angle, 0, and the distance between the whale and the point of release, x? O cos(0) = O sin(0) = O tan(0) = 400 X 400 X 400 X 400 400 X O cos² (8) de dt (b) Which of the following would be an appropriate related rate equation for the answer to part (a)? O sec² (8) de 1 dx 400 dt dt O cos² (8) de dt = O sec(0)tan (0) O sec² (8) dx dt = F 1 dx 400 dt de 8 dt = dx dt X 1 dx 400 dt whale 1 de 400 dt (c) If the whale swims at a constant rate of 60 meters per minute, how fast is the angle 9 changing when the whale is 300 meters from the point of release? Give an exact answer. radians per minute
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...
Related questions
Question
100%
Transcribed Image Text:A rescued whale is released into the ocean 400 meters due east of a coast guard station. The whale swims directly away from the shore.
coast guard
station
point of
release
O tan(0)
(a) Which of the following equations can be used to relate the angle, 0, and the distance between the whale and the point of release, x?
O cos(0)
O sec(0) =
O sin(0)
=
O tan(0)
=
X
400
X
400
X
400
O cos² (0)-
X
400
400
X
O sec² (8) de
dt
de
dt
(b) Which of the following would be an appropriate related rate equation for the answer to part (a)?
1 dx
400 dt
=
O sec² (0) dx
dt
O sec(0)tan(0)-
O cos²(e) de
dt
=
=
8
1 dx
400 dt
de 1 dx
dt 400 dt
=
dx
dt
X
whale
1 de
400 dt
(c) If the whale swims at a constant rate of 60 meters per minute, how fast is the angle changing when the whale is 300 meters from the point of release? Give an exact answer.
radians per minute
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning