Quadric Surfaces | MATH 2224 - Multivariable Calculus, Quizzes of Calculus

Class: MATH 2224 - Multivariable Calculus; Subject: Mathematics; University: Virginia Polytechnic Institute And State University; Term: Spring 2011;

Typology: Quizzes

2010/2011

Uploaded on 07/17/2011

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TERM 1
Elliptic Paraboloid
DEFINITION 1
A quadric surface with an equation of the form z=x^2/a^2 +
y^2/b^2Object projects on axis of the single-power terma
and b are non-zero integers
TERM 2
Hyperbolic Paraboloid
DEFINITION 2
A quadric surface with an equation of the form z=y^2/b^2 -
x^2/a^2Object projects on axis of the single-power terma
and b are non-zero integers
TERM 3
Elliptic Cone
DEFINITION 3
A quadric surface with an equation of the form
z^2/c^2=x^2/a^2 + y^2/b^2z is axis in this casea,b, and c
are non-zero integers
TERM 4
Ellipsoid
DEFINITION 4
A quadric surface with an equation of the form x^2/a^2 +
y^2/b^2 + z^2/c^2 =1 (any number)a,b, and c are non-zero
integers
TERM 5
Hyperboloid of One Sheet
DEFINITION 5
A quadric surface with an equation of the form x^2/a^2 +
y^2/b^2 - z^2/c^2 = 1 (any number)the term with a
negative sign indicates the projection axisa,b, and c are non-
zero integers
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TERM 1

Elliptic Paraboloid

DEFINITION 1 A quadric surface with an equation of the form z=x^2/a^2 + y^2/b^2Object projects on axis of the single-power terma and b are non-zero integers TERM 2

Hyperbolic Paraboloid

DEFINITION 2 A quadric surface with an equation of the form z=y^2/b^2 - x^2/a^2Object projects on axis of the single-power terma and b are non-zero integers TERM 3

Elliptic Cone

DEFINITION 3 A quadric surface with an equation of the form z^2/c^2=x^2/a^2 + y^2/b^2z is axis in this casea,b, and c are non-zero integers TERM 4

Ellipsoid

DEFINITION 4 A quadric surface with an equation of the form x^2/a^2 + y^2/b^2 + z^2/c^2 =1 (any number)a,b, and c are non-zero integers TERM 5

Hyperboloid of One Sheet

DEFINITION 5 A quadric surface with an equation of the form x^2/a^2 + y^2/b^2 - z^2/c^2 = 1 (any number)the term with a negative sign indicates the projection axisa,b, and c are non- zero integers

TERM 6

Hyperboloid of Two Sheets

DEFINITION 6 A quadric surface with an equation of the form x^2/a^2 - y^2/b^2 - z^2/c^2 =1the positive term indicates the projection axisa,b, and c are non-zero integers