The surface S formed by the point P(x,y,z) such that the distance from P to the point A(1.0,-1) is equal to 1/3 of the distance from P to the plane π : z+3=0, is a quadratic. (a) Determine your center (or vertex) (___, ____, ____) (b) 12 being the coefficient of the term in z, what is the coefficient of the term in x of the general equation of this quadratic? (c) This quadratic represents which surface?
The surface S formed by the point P(x,y,z) such that the distance from P to the point A(1.0,-1) is equal to 1/3 of the distance from P to the plane π : z+3=0, is a quadratic. (a) Determine your center (or vertex) (___, ____, ____) (b) 12 being the coefficient of the term in z, what is the coefficient of the term in x of the general equation of this quadratic? (c) This quadratic represents which surface?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The surface S formed by the point P(x,y,z) such that the distance from P to the point A(1.0,-1) is equal to 1/3 of the distance from P to the plane π : z+3=0, is a quadratic.
(a) Determine your center (or vertex) (___, ____, ____)
(b) 12 being the coefficient of the term in z, what is the coefficient of the term in x of the general equation of this quadratic?
(c) This quadratic represents which surface?
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