Question 2 Suppose that a is the area of a disc with radius r which is expanding in time t measured in seconds. (a) Express in terms of r and dr. (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 1 m/s, how fast does the area of the spill increase when the radius is 30m?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please may you help me out with both parts. If it’s not allowed please help me out with part A
Question 2 Suppose that a is the area of a disc with radius r which is expanding in
time t measured in seconds.
(a) Express da in terms of r and dr.
(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
1 m/s, how fast does the area of the spill increase when the radius is
30m?
Transcribed Image Text:Question 2 Suppose that a is the area of a disc with radius r which is expanding in time t measured in seconds. (a) Express da in terms of r and dr. (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 1 m/s, how fast does the area of the spill increase when the radius is 30m?
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is dadt da/dt? and is drdt  dr/dt and is w.r.t t  wxrxtxt ? 

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