Warm up Problem A rectangle is bounded by the x-axis and the semicircle. What are the dimensions of the rectangle with the largest area?

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AP Calculus Review: Optimization

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Presentation transcript:

Warm up Problem A rectangle is bounded by the x-axis and the semicircle. What are the dimensions of the rectangle with the largest area?

You are going to work on the Optimization Practice Problems. I suggest that you use pencil on the worksheet. The answers will be at the front of the room to check your answers as you go.

Strategy for Optimization 1) Draw a picture, if appropriate 2) Write down given information, including an equation 3) Find the function to be optimized 4) Substitute to get one variable 5) Take the derivative 6) Set equal to zero and solve