The curve C have the parametric equation: x(t) = t² + 1 and y(t) = t³ – 1 a) Make a sketch of curve C.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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7a

7) The curve C have the parametric equation:
x(t) = t2 + 1 and y(t) = t³ – 1
a) Make a sketch of curve C.
b) Show that for each to + 0 the curve has a tangent line on (x(to), y(to)) and give
a parametric equation of this tangent line.
c) Find the length of the curve on the interval 0 <t<1.
Transcribed Image Text:7) The curve C have the parametric equation: x(t) = t2 + 1 and y(t) = t³ – 1 a) Make a sketch of curve C. b) Show that for each to + 0 the curve has a tangent line on (x(to), y(to)) and give a parametric equation of this tangent line. c) Find the length of the curve on the interval 0 <t<1.
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