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...


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<br>city relative to the 1900 level).<br>Marjory Duffin fit the curve<br>s(t) = 0.0017t2 + 3t – 6.2 (0 < t < 125)<br>to her sea level figures as shown in the following graph.<br>s (sea level)<br>400<br>350<br>300<br>250<br>200<br>150<br>100<br>50<br>+ t (year)<br>125<br>25<br>50<br>75<br>100<br>(a) Compute the derivative function s'(t).<br>s'(t) =<br>(b) According to the model, what was the rate of increase of the sea level in 2000 (t = 100)?<br>mm/yr<br>(c) If we extrapolate the model, what would be the rate of increase of the sea level in 2100 (t = 200)?<br>%3D<br>mm/yr<br>

Extracted 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="">

Jun 03, 2022
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