Let F(x, Y, Z) Be the Amount of Heat Lost $\frac { \partial f } { \partial z }$

question 106

Multiple Choice

Let f(x, y, z) be the amount of heat lost each day by a rectangular building x feet wide, y feet long, and z feet high. Suppose that $\frac { \partial f } { \partial z }$ (50, 80, 15) = 45. Which one of the following conclusions can be drawn?

• A) A building with dimensions 51 × 81 × 16 will lose about 45 more units of heat each day than a building with dimensions 50 × 80 × 15 .
• B) A building with dimensions 50 × 80 × 15 loses about 45 units of heat each day.
• C) A building with dimensions 50 × 80 × 16 will lose about 45 more units of heat each day than a building with dimensions 50 × 80 × 15 .
• D) A building with dimensions 50 × 80 × 15 loses about 45 units of heat from the top of the building each day
• E) The marginal heat loss per day is 45 units of heat per square foot of surface area of the roof.

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