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A preview of the solutions for quiz 2 of math 206: winter 2012. It includes answers to three problem statements: finding the particle's velocity, calculating the length of a curve, and determining the limits of a function. Students are encouraged to attempt the problems before checking the solutions.
Typology: Exercises
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Correct answers accompanied by incorrect or incomplete work will not receive full credit.
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i + e
t ˆ j + (t − 1)
k. Find the vector function that
represents the particle’s velocity at t.
given by
f (t) = (e
t
cos t, ln t, t
3
), 1 ≤ t ≤ 3
Simplify so that there is no vector notation in your answer.
-4 0 4
4
c=
c=
Find
(a) f (1, 0)
(b) f (2, −3)
lim
(x,y)→(0,0)
5 x
2
3
x
2
2
