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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.2 Maximum and Minimum Problems, #73 · Calculus · Optimization

Draw a circular pool with a lifeguard on one side and a…

Draw a circular pool with a lifeguard on one side and a drowner on the opposite side. The lifeguard swims with velocity and runs around the rest of the pool with velocity . If the swim direction is at angle with the direct line, choose to minimize and maximize the arrival time.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.2 Maximum and Minimum Problems, #73

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