Intro To Parametric & Vector Calculus Worksheet - Calculus Maximus Ws 7.1 Page 6
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7Calculus Maximus
WS 7.1: Param & Vector Intro
13. Consider the curve C given by the parametric equations
x
2 3cos
t
and
y
3 2sin
t
, for
.
t
2
2
dy
(a) Find
as a function of t.
dx
(b) Find an equation of the tangent line at the point where
t
.
4
(c) (Calculator Permitted) The curve C intersects the y-axis twice. Approximate the length of the
curve between the two y-intercepts.
Page 6 of 7
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