Multi-Variable Calculus Assignment

due Tuesday, February 13, 2001

Exercises

1. Find a pair of linear equations that characterize the line given parametrically by

   t ---> (3, -2, 1) + t [-2, 1, 2] .

2. Let the location of a moving point at time t be given by

   (3 cos (t), 3 sin (t) , 4t) .

   Determine:

   1. The velocity at time t.

   2. The speed at time t.

   3. The acceleration at time t.

   4. The distance traveled by the point between time 1 and time 3.

   5. A pair of equations in x, y, and z that characterize the path traveled.

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