Determining Circular Oil Patch Area: Leaking Oil Tanker Scenario

Jan 06, 2025

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Learn to calculate circular oil patch area as tanker leaks oil, with increasing radius rate information.

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Determining Circular Oil Patch Area: Leaking Oil Tanker Scenario

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Section 4.1 Composite Functions
OBJECTIVE 1
Suppose that an oil tanker is leaking oil and we want to be able to determine the area of the circular oil patch around the ship. It is determined that the oil is leaking from the tanker in such a way that the radius of the circular oil patch around the ship is increasing at a rate of 3 feet per minute.
OBJECTIVE 2

Composite Functions

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Exponential Functions Section 4.1

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Section 4.1 Polynomial Functions and Models

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Composite Functions

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Section 5.1 Composite Functions

Section 5.1 Composite Functions.

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Section 9.1 Composite and Inverse Functions

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Section 4.1 – Extreme Values of Functions

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Section 4.1 – Rational Functions and Asymptotes

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Section 8.1 – Composite Functions

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Section 4.1

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4.1 Composite and inverse functions

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Composite functions

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Exponential Functions Section 4.1

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424 views • 26 slides

Exponential Functions Section 4.1

441 views • 24 slides

COMPOSITE FUNCTIONS

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Section 4.1 – 4.2 Linear Functions and Applications

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Composite Functions

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Section 4.1 Graphing Polynomial Functions

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Composite Functions Composite Functions

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Composite Functions

f  g = f ( g ( x )) = (2 x + 1) 2 – 3(2 x + 1). Composite Functions. Example 1: Given functions f ( x ) = x 2 – 3 x and g ( x ) = 2 x + 1, find f  g.

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