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cytochrome
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Homework Statement
Find a vector-valued function f that parametrizes the curve (x-1)^2 + y^2 = 1
Homework Equations
(x-1)^2 + y^2 = 1
The Attempt at a Solution
The equation is the graph of a circle that is 1 unit to the right of the origin, therefore a parametrization would be
x(t) = cos(t) + 1
y(t) = sin(t)
Therefore a vector-valued function that parametrizes this curve is given by
r(t) = (cos(t) + 1)i + sin(t)jI've been having trouble with parametrization lately so I was wondering if this is correct. Also, is there a better method to go about this sort of thing? Is it entirely visual and you just have to have a "feel" for it?