Question: 1. (35pt)A rectangular box with an open top and one partition is to be constructed from 288 square inches of cardboard. Find the dimensions that

1. (35pt)A rectangular box with an open top and one partition is to be constructed from 288 square inches of cardboard. Find the dimensions that result in a box with largest possible volume. 2. (35pt ) Evaluate Sf 3xy2dA, where R is the region bounded by the graphs of y = -x and y = x2, x 2 0 and the graph of x = 1. R 3. (30pt ) Find S t cos 20atdt =

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