Question: [ 8 points ] Consider the curve ( ) = ( 5 0 cos ) + ( 5 0 sin ) + ( 5 5

[8 points] Consider the curve ()=(50 cos )+(50 sin )+(55) for 0.
a. What is the initial point of the path corresponding to (0)?
b. Where does the path end? In other words, what is lim
()?
c. Eliminate the parameter to find an equation of the surface the curve lies in, in terms of x, y,
and z.

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