Suppose that a is the area of a disc with radius r which is expanding in time t measured in seconds. (a) Express da/dt in terms of r and dr/dt (b) Suppose an oil tanker is leaking oil which spreads in the shape of a disc on the surface of the ocean. If the radius increases at a rate of 1m/s, how fast does the area of the spill increase when the radius is 30m?

Suppose that a is the area of a disc with radius r which is expanding in time t measured in seconds. (a) Express da/dt in terms of r and dr/dt (b) Suppose an oil tanker is leaking oil which spreads in the shape of a disc on the surface of the ocean. If the radius increases at a rate of 1m/s, how fast does the area of the spill increase when the radius is 30m?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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