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Objective: Graph and analyze rose curves.

Objective: Graph and analyze rose curves. Objective: Graph and analyze rose curves. Exploration: With your grapher in polar mode enter: 1. Set = 0; = 0.13 and graph r on your calculator using the given value for .

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Objective: Graph and analyze rose curves.

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  1. Objective: Graph and analyze rose curves.

  2. Objective: Graph and analyze rose curves. Exploration: With your grapher in polar mode enter: 1. Set = 0; = 0.13 and graph r on your calculator using the given value for . a. b. c. d. Describe in writing how parts 1 a-d are related to the figure. 3. State the smallest value for so that you can view the complete graph of . 4. How many petals does have?

  3. Repeat same steps for equation: . 1. 2. 3. 4.

  4. Example 1 Analyze the graph of . Domain: Range: Continuity: Symmetry: Max r-value:

  5. Summary: Rose Curves Forms: or ; (integer) Domain: all reals. Range: Continuous Symmetry: n(even), symmetry about x,y-axes and origin. n(odd), , symmetry about x-axis. n(odd), , symmetry about y-axis. Max r value: Number of petals: n if n is odd. 2n if n is even.

  6. Example 2 Graph:

  7. Example 3 Graph:

  8. The graph of the equation is a circle that is symmetric w.r.t. the x-axis . Diameter from (0,0) to (a, 0) The graph of is a circle that is symmetric w.r.t. the y-axis. Diameter from (0, 0) to (a, ) Example 4 Graph: a. b.

  9. Assignment Pg 683 #13,14,25-28.

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