Key to the Practice Midterm I

Problem 1

A.  False, C needs to be a vector

B.  True since r''(s) = 0

C.  True since then the osculating circle contains the curve.

Problem 2

P(t) = (-1/2 cost + 3/2)i + 3/2 t² j + (tsint - cost)j

Problem 3

A.  1.4 mi/sec

B.  pi/4

Problem 4

 T(t) = 3/5 i + 4/5 j

Problem 5

1/2

Problem 6

(x + 2)² + (y - 3)²  = 8

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