Question: 1.A rectangular box of length x, width y, and height z with no top is to be constructed having a volume of 32 cubic inches.

1.A rectangular box of length x, width y, and height z with no top is to be constructed having a volume of 32 cubic inches. Determine the dimensions that will require the least amount of material to construct the box.

A) 2 inches by 2 inches by 4 inches B) 4 inches by 4 inches by 2 inches

C) 4 inches by 2 inches by 4 inches D) 4 inches by 4 inches by 4 inches

2. Let Q(x, y) = x2y +y3x4. The point (1, 0) is

A) a relative minimum point

B) a relative maximum point

D) not a relative extreme point

C) absolute maximum

3. how to get the differentiate

sinx/cosx

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