Problem 6: [15 pts] The curve parameterized by ?(t) :

(O, t, for O t 4 is revolved about the z-axis to form Problem 6: [15 pts] The curve parameterized by r (t) a surface S in R 3. Let y) be a function so the graph of z f (.T y) is the surface S. Hint: This problem employs some ideas and concepts from the beginning of the semester in the context with the material from the last unit. If you are stuck, a picture could be immensely helpful! A. [5 pts] State the domain of f (.T y). Explain your response. B. [5 pts] State the range of f (x, y). Explain your response. C. [5 pts] Give an equation in a; and y for the level curve along which z 3. Explain your response and simplify your final answer.