Eliminate the and write an equation of- carve in part (a) Sobely in cartesian coordinates x, y (e) Using (d), find (in the plane) the normal vector n to the point Po (from art (6) curve, at the and sketchn, applied at Po. ropart x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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only do parts d and e

#5 Given (t)=(x(t), y(t) = (4sint, -3 cost)
(a) Find the tangent vector when
't=to=3π/4 (b) Find the
point Po on the curve, when to =3π/4
Sketch the curve r(t) in the
xy-plane, the Point Po, and the
tangent vector (from part (a)) applia
applied at Po
(4) Eliminate the variablet
and write an
in
equation of the
carve in part (a) Solely
cartesian coordinates x, y,
(e) Using (d), find (in the plane)
the normal vector n to the
curve, at the point Po (from mart
and sketchn, applied at Po.
x
Transcribed Image Text:#5 Given (t)=(x(t), y(t) = (4sint, -3 cost) (a) Find the tangent vector when 't=to=3π/4 (b) Find the point Po on the curve, when to =3π/4 Sketch the curve r(t) in the xy-plane, the Point Po, and the tangent vector (from part (a)) applia applied at Po (4) Eliminate the variablet and write an in equation of the carve in part (a) Solely cartesian coordinates x, y, (e) Using (d), find (in the plane) the normal vector n to the curve, at the point Po (from mart and sketchn, applied at Po. x
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