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suppose a curve is given by the parametric equation x=f(t) (3 points) Suppose a

ID: 2878314 • Letter: S

Question

suppose a curve is given by the parametric equation x=f(t)


(3 points) Suppose a curve is given by the parametric equations x f(t), y g(t), where the range of f is [-1,7] and the range of g is [1,3]. What can you say about the curve? You must select all correct choices to get full credit on this problem. A. The curve must lie inside a circle with center (-1, 1) and radius 0.5. B. Nothing can be said about the curve. C. The curve is completely contained in the rectangle I-1, 7]by [1, 31. D. The curve is the line with endpoints (-1, 1) and 7, 3). E. The curve must lie outside the rectangle I-1, 71by 11, Answer(s) submitted:

Explanation / Answer

Answer: As we know that the domain and range together constitute the region where the curve lies so

   the curve is completely contained in the rectangle [-1, 7] by [1, 3] and hence the correct answer

   is choice C. The curve is completely contained in the rectangle [-1, 7] by [1, 3]