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1) Use calculus to find the volume of the solid pyramid in the first octant that...

1) Use calculus to find the volume of the solid pyramid in the first octant that is below the planes x/ 3 + z/ 2 = 1 and y /5 + z /2 = 1. Include a sketch of the pyramid.

2)Find three positive numbers whose sum is 12, and whose sum of squares is as small as possible, (a) using Lagrange multipliers

(b )using critical numbers and the second derivative test.

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