(c) Find dy/dx at t = T/3. (d) Include in sketch for (a) the tangent line to the curve at t = T/3 and find its equation (i) in terms of x, y and (ii) in parametric form.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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d please

4. (a) Sketch the plane curve (graph) defined by the vector-valued function
(3 cos t, 2 sin t), 0<t< 27.
0 <t<
(b) Find an equation in just x and y (that is, eliminate the parameter t) for this
curve.
= T/3.
(c) Find dy/dx at t
(d) Include in sketch for (a) the tangent line to the curve at t = 7/3 and find its
equation (i) in terms of x, y and (ii) in parametric form.
Transcribed Image Text:4. (a) Sketch the plane curve (graph) defined by the vector-valued function (3 cos t, 2 sin t), 0<t< 27. 0 <t< (b) Find an equation in just x and y (that is, eliminate the parameter t) for this curve. = T/3. (c) Find dy/dx at t (d) Include in sketch for (a) the tangent line to the curve at t = 7/3 and find its equation (i) in terms of x, y and (ii) in parametric form.
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