Question

6.) Let ~r(t) =< 3 cos t, -2 sin t > for 0 < t <...

6.) Let ~r(t) =< 3 cos t, -2 sin t > for 0 < t < pi. a) Sketch the curve. Make sure to pay attention to the parameter domain, and indicate the orientation of the curve on your graph. b) Compute vector tangent to the curve for t = pi/4, and sketch this vector on the graph.

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Answer #1

So finally, the equation of tangent becomes-

y=(2x/3)-2√2 ..... And the tangent plotted on the same sketch where the ellipse is drawn..!!

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