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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.2 Maximum and Minimum Problems, #44 · Calculus · Optimization

The largest rectangle in Problem 43 may not sit straight up

The largest rectangle in Problem 43 may not sit straight up. Put one side along $x /4 + y /6 = 1$ and maximize the area.

This exercise builds on another exercise in its source book, which isn't shown here.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.2 Maximum and Minimum Problems, #44

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