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Maria and Richard return to practicing!
When all of a sudden . . .
ANOTHER HOCKEY PUCK GOES FLYING BY!!!!
Maria, help me corner him!
Furiously, Richard skates away from Maria at the origin to get to the hockey player retrieving the puck. He moves along his path at a rate of 3 units per second and stops at x = pi/3.
In order to corner him, the two have to determine the rate of change of the angle at pi/3. To do so, take the derivative of Richard's path, set it equal to his rate of change, and solve for x'.
Don't forget chain rule!! This means the derivative of Richard's path becomes -2sinx * x'.
Thanks to Calc BC, the hockey players never scheduled a practice at the same time as the figure skaters again!
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