In 2010, an oil explosion spilled millions of gallons of oil in an area. The oil slick took the shape of a circle. Suppose that the area A (in square miles) of the circle contaminated with oil can be determined using the function A(t) = 0.26m² where t represents the number of days since the rig exploded. (a) Identify the dependent and independent variables. (b) Evaluate A(22) and explain what A(22) means.
In 2010, an oil explosion spilled millions of gallons of oil in an area. The oil slick took the shape of a circle. Suppose that the area A (in square miles) of the circle contaminated with oil can be determined using the function A(t) = 0.26m² where t represents the number of days since the rig exploded. (a) Identify the dependent and independent variables. (b) Evaluate A(22) and explain what A(22) means.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![In 2010, an oil explosion spilled millions of gallons of oil in an area. The oil slick took the shape of a circle. Suppose that the area \( A \) (in square miles) of the circle contaminated with oil can be determined using the function \( A(t) = 0.26\pi t^2 \), where \( t \) represents the number of days since the rig exploded.
**(a)** Identify the dependent and independent variables.
- The dependent variable is \( A \) and the independent variable is \( t \).
**(b)** Evaluate \( A(22) \) and explain what \( A(22) \) means.
Choose the correct choice below and fill in the answer box to complete your choice (Type an integer or decimal rounded to two decimal places as needed):
- **A.** The value \( A(22) \approx \) [ ] indicates the area of the circle contaminated with oil, in square miles, on day 22 from the day of the explosion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49ae7c59-a703-4751-b59f-4bcd466ce6cb%2F8fee21c6-9bfb-4ef7-9273-ce57a765d490%2Fk46089z_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In 2010, an oil explosion spilled millions of gallons of oil in an area. The oil slick took the shape of a circle. Suppose that the area \( A \) (in square miles) of the circle contaminated with oil can be determined using the function \( A(t) = 0.26\pi t^2 \), where \( t \) represents the number of days since the rig exploded.
**(a)** Identify the dependent and independent variables.
- The dependent variable is \( A \) and the independent variable is \( t \).
**(b)** Evaluate \( A(22) \) and explain what \( A(22) \) means.
Choose the correct choice below and fill in the answer box to complete your choice (Type an integer or decimal rounded to two decimal places as needed):
- **A.** The value \( A(22) \approx \) [ ] indicates the area of the circle contaminated with oil, in square miles, on day 22 from the day of the explosion.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
