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

Question

2 months ago

5

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.

Mathematics

1 answer:

zzz [12.3K] · Answer 1 · 2026-03-03T00:41:04+03:00

zzz [12.3K]2 months ago

7 0

The likely equation for the ellipse is given by

$\dfrac{x^2}{49}+y^2=1$

This can be parameterized as a segment of the curve using

$C$

with $0\le t\le\frac\pi2$ . Then we can proceed with

$\vec r(t)=\langle7\sin t,\cos t\rangle$

and other related calculations.