An athlete has set up a course in which she is dropped off by a boat 2
Question:
t = (x2 + 4)/2 + {(4 x)2 + 4}/6
Where x is the distance (in miles) down the coast from her starting point to the point at which she leaves the water to start her run.
(a) Use a table to approximate the distance down the coast that will yield the minimum amount of time required for the athlete to complete the course.
(b) The expression below was obtained using calculus. It can be used to find the minimum amount of time required for the tri athlete to reach the finish line. Simplify the expression.
1/2x(x2 + 4)-1/2 + 1/6 [(x - 4) (x2 - 8x + 20)-1/2]
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