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OpenStudy (anonymous):

6. A rectangular stick of butter is placed in the microwave oven to melt. When the butter's length is 6 in and its square cross-section measures 1.5 in on a side, its length is decreasing at a rate of 0.25 in/min and its cross-sectional edge is decreasing at a rate of 0.125 in/min. How fast is the butter melting (i.e., at what rate is the solid volume of butter turning to liquid) at that instant?

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OpenStudy (anonymous):

!

OpenStudy (anonymous):

xy^2=v x2yy`+y^2x`=v` 6*2*1.5*-.125+1.5^2*-.25=-2.8125 ?????

OpenStudy (anonymous):

yes, thank you! for some reason i forgot that product rule was needed here lol, i feel like an idiot. thanks!

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