Maximize Triangle Area (Part 1)

Topic:Area, Calculus, Differential Calculus, Integral Calculus

Thanks to my son Jeff for this application of INTEGRAL and DIFFERENTIAL Calculus (rolled into one problem).........this appeared on the 2015 PUTNAM exam.

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兩位數的位值
函數的奇偶性
Average Value
רישום חופשי
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Angle Bisector #1
Scaling object by Matrices
EdinsonLaPaRa
Right Triangle Challenge
สามเหลี่ยมปิทาโกรัส

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Coordinates
Addition
Reflection
Limits
Tangent Line or Tangent