Find the vector equation that represents the curve of intersection of the paraboloid z = surface y = x³. Write the equation so that one of the functions is simply t. x (t) = y(t) = z(t) = 3x² + y² and the

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 40E
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Find the vector equation that represents the curve of intersection of the paraboloid z=3x^2+y^2 and the surface y=x^3. Write the equation so that one of the functions is simply t.

Find the vector equation that represents the curve of intersection of the paraboloid z =
3
surface y = x³.
Write the equation so that one of the functions is simply t.
x (t)
y(t)
z(t)
=
=
=
|||
3x² + y² and the
Transcribed Image Text:Find the vector equation that represents the curve of intersection of the paraboloid z = 3 surface y = x³. Write the equation so that one of the functions is simply t. x (t) y(t) z(t) = = = ||| 3x² + y² and the
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