1. Write a paragraph discussing the changes in the shape and orientation of the graph of the ellipse

as a increases from 1 to 8.
2. Use two thumbtacks, a string, and a pencil to draw an ellipse, as shown in Figure 4.22 on page 330. Vary the length of the string and the distance between the thumbtacks. Explain how to obtain ellipses that are almost circular? Explain how to obtain ellipses that are long and narrow.
Figure 4.22

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