Unformatted text preview: d T d t , the rate of change of the temperature the moth feels. (5) Compute ∂z ∂x using the Chain Rule trick described in this section if sin xyz + x + 2 y + 3 z = 0. (6) (Bonus question: worth 10 points. Total points for assignment not to exceed 100.) A rectangular box has its edges changing length as time passes. At a particular instant, the sides have lengths a = 150 feet, b = 80 feet, and c = 50 feet. At that instant, a is increasing at 100 feet/sec, b is decreasing 20 feet/sec, and c is increasing at 5 feet/sec. Determine if the volume of the box is increasing, decreasing, or not changing at all, at that instant. 1...
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 Winter '11
 JerryMetzger
 Calculus, Chain Rule, Derivative, Multivariable Calculus, ∂f Chain Rule

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