Suppose f⃗ (x, y)=⟨ex, ey⟩f→(x, y)=⟨ex, ey⟩ and cc is the portion of the ellipse centered at the origin from the point (0,1)(0,1) to the point (7,0)(7,0) centered at the origin oriented clockwise. (a) find a vector parametric equation r⃗ (t)r→(t) for the portion of the ellipse described above for 0≤t≤π/20≤t≤π/2.

Probably the intended ellipse is the one with equation

We can parameterize as a piece of this curve by

with . Then

etc

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