The Sine River is located between y = sin(x) and y = 1 + sin(x) (x in radians, not degrees).
Your starting point is on the shore, at location (0,0) and your destination is location (10,2).
Your running speed is 1 unit per minute. Your swimming speed is 1/2 units per minute.

Assuming there is no current in the river (and no wind), what is the minimum travel time to the destination, and by what pathway?

Note that in the earlier problem, Sine River, the destination was (5,1) and the solution was limited to straight segments. For this problem, a portion of the fastest route might be a curved path.