I'm not sure what do to next at this point. Do I have to find the equation for how long it takes for the man to row from A to C and then to B?
As in the given question we can see the diagram, with the help of the diagram we find the Objective function: The point C lies in the idle of B and D.
So, the distance between C and D is (CD) = x
Then distance between B and C is (BC) = 8 – (CD) = 8 – x
Now we need to find AC
Here we use Pythagorean theorem:
Now the total time as a function of x is:
Now to maximize the function We find the critical points thr...
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