Two oil tankers crash in the Pacific Ocean. The spreading oil slick has a circular shape, and the radius of the circle is increasing at 200 meters per hour. (a) Express the radius of the spill, r, as a power function of time, t, in hours since the crash. r = (b) Express the area of the spill, A, as a power function of time, t. NOTE: Enter the exact answer. A = (c) Cleanup efforts begin 7 hours after the spill. How large an area is covered by oil at that time? NOTE: Enter the exact answer or round to three decimal places. Do not include commas in your answer. The area will be m².

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 67E
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Two oil tankers crash in the Pacific Ocean. The spreading oil slick
has a circular shape, and the radius of the circle is increasing at 200
meters per hour.
(a) Express the radius of the spill, r, as a power function of time, t,
in hours since the crash.
r =
(b) Express the area of the spill, A, as a power function of time, t.
NOTE: Enter the exact answer.
A
=
(c) Cleanup efforts begin 7 hours after the spill. How large an area is
covered by oil at that time?
NOTE: Enter the exact answer or round to three decimal places. Do not
include commas in your answer.
The area will be
m².
Transcribed Image Text:Two oil tankers crash in the Pacific Ocean. The spreading oil slick has a circular shape, and the radius of the circle is increasing at 200 meters per hour. (a) Express the radius of the spill, r, as a power function of time, t, in hours since the crash. r = (b) Express the area of the spill, A, as a power function of time, t. NOTE: Enter the exact answer. A = (c) Cleanup efforts begin 7 hours after the spill. How large an area is covered by oil at that time? NOTE: Enter the exact answer or round to three decimal places. Do not include commas in your answer. The area will be m².
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