# I need the answer as soon as possible Transcribed Image Text: EXAMPLE 1 Use t = y to parametrize the part of the line of

I need the answer as soon as possible Transcribed Image Text: EXAMPLE 1
Use t = y to parametrize the part of the line of intersection of the
two planes y = 2x – 4 and z = 3x +1 from (2, 0, 7) to (3, 2, 10).
The plane x+ y = I intersects the paraboloid z = x² +
in a parabola. Parametrize the whole parabola using t = x as
EXAMPLE 2
parameter. Could t = y have been used as parameter? What about t = z?
Parametrize the curve of intersection of the plane x +2y+4z = 4
and the elliptic cylinder x²+ 4y² = 4.
EXAMPLE 4
2+4y? = 4
x+2y +4z = 4
EXAMPLE 6
Find the length s of that part of the circular helix
r = a costi+a sin tj+ bt k
between the points (a, 0, 0) and (a, 0, 2nb).
(a.0.2rb)
(a.0.0)

(550 words)

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