Homework Help is Here – Start Your Trial Now!
Math
Calculus
7) If the tanker is 150 yards from the shore, how long will it be until 6 miles of shoreline is contaminated with oil? Round to the nearest number of days. (For the benefit of this problem, the shore is straight and if you were to drawa line perpendicular to the shore 150 yards you would find the boat, the spread will be 3 miles to either side of the ship, refer to the diagram below. Hint 1mi35280 ft.) *NOTE: We use 7A, 7B, and 7C below to guide you through the steps to reach the answer to the question posed in bold print in #7. A) Use the figure below and find the length of the radius in feet. B) Using your formula from problem 1A, find the time in hours. C) The original question asks for the time measured in days. Convert your answer from 78 to days, rounding to the nearest number of days.

7) If the tanker is 150 yards from the shore, how long will it be until 6 miles of shoreline is contaminated with oil? Round to the nearest number of days. (For the benefit of this problem, the shore is straight and if you were to drawa line perpendicular to the shore 150 yards you would find the boat, the spread will be 3 miles to either side of the ship, refer to the diagram below. Hint 1mi35280 ft.) *NOTE: We use 7A, 7B, and 7C below to guide you through the steps to reach the answer to the question posed in bold print in #7. A) Use the figure below and find the length of the radius in feet. B) Using your formula from problem 1A, find the time in hours. C) The original question asks for the time measured in days. Convert your answer from 78 to days, rounding to the nearest number of days.

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
Please help with page 2.
Math 171 Unit 1 tab A Emergency: Oil Spill!! Please print and complete this lab. Once you've completed the lab, please answer the questions that correspond with this lab in Canvas in the "Unit 1 Lab Answer Sheet" located in Unit 1. (Each question is worth 6 25 points each.) Attention: An oil tanker has hit a sand bar and ripped a hole in the hull of the ship. Oil has begun leaking from the tanker. The oil is leaking from the ship forming a circle around it. The radius of the circle is increasing at a rate of 2.2 feet per hour. Please assist the Wild Life Federation with the following calculations. Thank you in advance for your assistance. (Round all answers to the nearest tenths place unless otherwise specified, use the n button on your calculator for calculations.) For Questions 1A, 2, and 3A: Make sure you use FUNCTIONAL NOTATION! (see hint and example) Hint: y ffx) where f is the symbol for the function, x is the independent variable, y is the dependent variable, and f(x) is the value of the function at x. For example: "Express the gross salary G of a person who earns $14 per hour as a function of the number x of hours worked. Answer: Let x represent the number of hours worked. The function for the gross salary is: G(x) = 14x. 1) A) Write the radius of the circle as a function of time. Use t as the symbol to represent time (you will need to use the information found in the news clip above.) B) What is the radius of the circle after 2 hours? C) What is the radius of the circie after 2.5 hours? D) If the oil tanker is 150 yards from shore, when will the oil first reach the shoreline? (Remember to convert to feet) 2) Write the area of the circle as a function of the radius. Use the symbol r to represent the radius. 3) A) Using the functions found in questions 1 and 2, write a function that represents area as a function of time. 8) What is the area of the circle after 2 hours? C) What is the area of the circle after 2.5 hours? D) What is the area of the circle after 3 hours? E) What is the area of the circle after 3.5 hours?
Transcribed Image Text:Math 171 Unit 1 tab A Emergency: Oil Spill!! Please print and complete this lab. Once you've completed the lab, please answer the questions that correspond with this lab in Canvas in the "Unit 1 Lab Answer Sheet" located in Unit 1. (Each question is worth 6 25 points each.) Attention: An oil tanker has hit a sand bar and ripped a hole in the hull of the ship. Oil has begun leaking from the tanker. The oil is leaking from the ship forming a circle around it. The radius of the circle is increasing at a rate of 2.2 feet per hour. Please assist the Wild Life Federation with the following calculations. Thank you in advance for your assistance. (Round all answers to the nearest tenths place unless otherwise specified, use the n button on your calculator for calculations.) For Questions 1A, 2, and 3A: Make sure you use FUNCTIONAL NOTATION! (see hint and example) Hint: y ffx) where f is the symbol for the function, x is the independent variable, y is the dependent variable, and f(x) is the value of the function at x. For example: "Express the gross salary G of a person who earns $14 per hour as a function of the number x of hours worked. Answer: Let x represent the number of hours worked. The function for the gross salary is: G(x) = 14x. 1) A) Write the radius of the circle as a function of time. Use t as the symbol to represent time (you will need to use the information found in the news clip above.) B) What is the radius of the circle after 2 hours? C) What is the radius of the circie after 2.5 hours? D) If the oil tanker is 150 yards from shore, when will the oil first reach the shoreline? (Remember to convert to feet) 2) Write the area of the circle as a function of the radius. Use the symbol r to represent the radius. 3) A) Using the functions found in questions 1 and 2, write a function that represents area as a function of time. 8) What is the area of the circle after 2 hours? C) What is the area of the circle after 2.5 hours? D) What is the area of the circle after 3 hours? E) What is the area of the circle after 3.5 hours?
4) Compute the average rate of change per hour for the area from 2 to 2.5 hours. 5) Compute the average rate of change per hour for the area from 3 to 3.5 hours. 6) Based upon the results found in questions 4 and 5 what is happening to the average rate or change of the area of the circle as time passes? (Increasing, Decreasing, Constant?) 7) If the tanker is 150 yards from the shore, how long will it be until 6 miles of shoreline is contaminated with oil? Round to the nearest number of days. (For the benefit of this problem, the shore is straight and if you were to drawa line perpendicular to the shore 150 yards you would find the boat, the spread will be 3 miles to either side of the ship, refer to the diagram below. Hint 1mi=5280 ft.) *NOTE: We use 7A, 78, and 7C below to guide you through the steps to reach the answer to the question posed in bold print in #7. A) Use the figure below and find the length of the radius in feet. B) Using your formula from problem 1A, find the time in hours. C) The original question asks for the time measured in days. Convert your answer from 7B to days, rounding to the nearest number of days. 3 miles 3 miles 150 yds Radius Radius 2 3 4
Transcribed Image Text:4) Compute the average rate of change per hour for the area from 2 to 2.5 hours. 5) Compute the average rate of change per hour for the area from 3 to 3.5 hours. 6) Based upon the results found in questions 4 and 5 what is happening to the average rate or change of the area of the circle as time passes? (Increasing, Decreasing, Constant?) 7) If the tanker is 150 yards from the shore, how long will it be until 6 miles of shoreline is contaminated with oil? Round to the nearest number of days. (For the benefit of this problem, the shore is straight and if you were to drawa line perpendicular to the shore 150 yards you would find the boat, the spread will be 3 miles to either side of the ship, refer to the diagram below. Hint 1mi=5280 ft.) *NOTE: We use 7A, 78, and 7C below to guide you through the steps to reach the answer to the question posed in bold print in #7. A) Use the figure below and find the length of the radius in feet. B) Using your formula from problem 1A, find the time in hours. C) The original question asks for the time measured in days. Convert your answer from 7B to days, rounding to the nearest number of days. 3 miles 3 miles 150 yds Radius Radius 2 3 4
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 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