5 An oil tanker crashes off the coast of Florida at 12: 00 pm (t oil spreads out over the surface of the ocean in a circle, with the radius at time t given in kilometers by r(t). The total volume of oil spilled as a function of the radius is given by V(r) in liters. Assume V (r) and r(t) are invertible functions. For each of the following quantities, write out an expression that represents each quantity. Your expressions should involve only the functions V, V-1, r and r-1 evaluated at different inputs. 0 hours), causing oil to leak out. The (a) The volume of the oil spill at 2 o'clock: (b) The time when the oil spill reached a radius of 5 km: (c) The time when the volume of the oil spill reached 20,000 L: (d) The change in the radius as the volume increases from 5,000L to 10,000L: (e) The amount of time it will take for the radius to grow from 5 km to 6 km:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 66E
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5 An oil tanker crashes off the coast of Florida at 12 : 00 pm (t =
oil spreads out over the surface of the ocean in a circle, with the radius at time t given in kilometers
by r(t). The total volume of oil spilled as a function of the radius is given by V(r) in liters. Assume
V (r) and r(t) are invertible functions. For each of the following quantities, write out an expression
that represents each quantity. Your expressions should involve only the functions V, V-1, r and r-1
evaluated at different inputs.
0 hours), causing oil to leak out. The
(a) The volume of the oil spill at 2 o'clock:
(b) The time when the oil spill reached a radius of 5 km:
(c) The time when the volume of the oil spill reached 20,000 L:
(d) The change in the radius as the volume increases from 5,000L to 10,000L:
(e) The amount of time it will take for the radius to grow from 5 km to 6 km:
Transcribed Image Text:5 An oil tanker crashes off the coast of Florida at 12 : 00 pm (t = oil spreads out over the surface of the ocean in a circle, with the radius at time t given in kilometers by r(t). The total volume of oil spilled as a function of the radius is given by V(r) in liters. Assume V (r) and r(t) are invertible functions. For each of the following quantities, write out an expression that represents each quantity. Your expressions should involve only the functions V, V-1, r and r-1 evaluated at different inputs. 0 hours), causing oil to leak out. The (a) The volume of the oil spill at 2 o'clock: (b) The time when the oil spill reached a radius of 5 km: (c) The time when the volume of the oil spill reached 20,000 L: (d) The change in the radius as the volume increases from 5,000L to 10,000L: (e) The amount of time it will take for the radius to grow from 5 km to 6 km:
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