Question: 10. Consider the ruled surface M given by x(u, v) = (v cosu, v sinu, uv), v > 0. a. Describe this surface geometrically. b.

10. Consider the ruled surface M given by x(u, v) =

10. Consider the ruled surface M given by x(u, v) = (v cosu, v sinu, uv), v > 0. a. Describe this surface geometrically. b. Find the first and second fundamental forms and the Gaussian curvature of M. c. Check that the v-curves are lines of curvature

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2. Information that comes most readily to mind (availability).

3. An initial value (anchoring).

4. Similarity (representativeness).