Marjory Duffin recently purchased a beachfront condominium in a city and is now in a panic, having just seen some disturbing figures about rising sea levels (sea levels as measured in city relative to the 1900 level). Marjory Duffin fit the curve s(t) = 0.0017t2 + 3t – 6.2 (0sts 125) to her sea level figures as shown in the following graph. s (sea level) 400 350 300 250 200 150 100 50 t (year) 125 25 50 75 100 (a) Compute the derivative function s'(t). s'(t) = (b) According to the model, what was the rate of increase of the sea level in 2000 (t = 100)? mm/yr (c) If we extrapolate the model, what would be the rate of increase of the sea level in 2100 (t = 200)? mm/yr
Marjory Duffin recently purchased a beachfront condominium in a city and is now in a panic, having just seen some disturbing figures about rising sea levels (sea levels as measured in city relative to the 1900 level). Marjory Duffin fit the curve s(t) = 0.0017t2 + 3t – 6.2 (0sts 125) to her sea level figures as shown in the following graph. s (sea level) 400 350 300 250 200 150 100 50 t (year) 125 25 50 75 100 (a) Compute the derivative function s'(t). s'(t) = (b) According to the model, what was the rate of increase of the sea level in 2000 (t = 100)? mm/yr (c) If we extrapolate the model, what would be the rate of increase of the sea level in 2100 (t = 200)? mm/yr
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Marjory Duffin recently purchased a beachfront condominium in a city and is now in a panic, having just seen some disturbing figures about rising sea levels (sea levels as measured in the
city relative to the 1900 level).
Marjory Duffin fit the curve
s(t) = 0.0017t2 + 3t – 6.2 (0 < t < 125)
to her sea level figures as shown in the following graph.
s (sea level)
400
350
300
250
200
150
100
50
+ t (year)
125
25
50
75
100
(a) Compute the derivative function s'(t).
s'(t) =
(b) According to the model, what was the rate of increase of the sea level in 2000 (t = 100)?
mm/yr
(c) If we extrapolate the model, what would be the rate of increase of the sea level in 2100 (t = 200)?
%3D
mm/yr
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