2. Consider the two surfaces zx = x² + y? and z³ = 4(x² + y³) They have a curve of intersection C that contains the point (1, 1, 2). (a) For the curve C, find a parametric equation for the line that is tangent to C at the point (1, 1, 2). (b) Taking z to be the vertical axis, what is the slope of the curve C at the point (1, 1, 2)?

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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2. Consider the two surfaces
zx = x² + y?
and
z³ = 4(x² + y³)
They have a curve of intersection C that contains the point (1, 1, 2).
(a) For the curve C, find a parametric equation for the line that is tangent to C at the point (1, 1, 2).
(b) Taking z to be the vertical axis, what is the slope of the curve C at the point (1, 1, 2)?
Transcribed Image Text:2. Consider the two surfaces zx = x² + y? and z³ = 4(x² + y³) They have a curve of intersection C that contains the point (1, 1, 2). (a) For the curve C, find a parametric equation for the line that is tangent to C at the point (1, 1, 2). (b) Taking z to be the vertical axis, what is the slope of the curve C at the point (1, 1, 2)?
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