Question

‎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?

Answer 1

!

Answer 2

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

Answer 3

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