Math Problem Statement
Find parametric equations of the curve given by the intersection of the surfaces:
The cone: z=sqrt(x^2+y^2)
The plane: z=4+y . x(t)= y(t)= z(t)=
Solution
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Math Problem Analysis
Mathematical Concepts
Parametric Equations
Surface Intersection
Conic Sections
Formulas
z = sqrt(x^2 + y^2)
z = 4 + y
x^2 = 16 + 8y
Theorems
Algebraic manipulation to eliminate square roots
Parametrization of surfaces
Suitable Grade Level
Grades 11-12
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