Elliptic paraboloid - three dimensional spaces, Mathematics

Assignment Help:

Elliptic Paraboloid

The equation which is given here is the equation of an elliptic paraboloid.

x2/a2 + y2/b2 = z/c

Like with cylinders this has a cross section of an ellipse and if a = b it will comprise a cross section of a circle. While we deal with these we'll usually be dealing with the type that has a circle for a cross section.

 Here is a diagram of a typical elliptic paraboloid.

1505_Elliptic Paraboloid - Three dimensional spaces.png

In this type of case the variable that isn't squared find outs the axis upon which the paraboloid opens up. As well, the sign of c will determine the direction that the paraboloid opens.  If c is positive after that it opens up and if c is negative then it opens down.


Related Discussions:- Elliptic paraboloid - three dimensional spaces

Geometry, how you know that your first quadrilateral is an isosceles trapez...

how you know that your first quadrilateral is an isosceles trapezoid

Find the height of the building, A building is in the form of a cylinder su...

A building is in the form of a cylinder surrounded by a hemispherical vaulted dome and contains   41(19/21-) cu m of air. If the internal diameter of the building is equal to its t

Simple harmonic motion, prove that the composition of two simple harmonic o...

prove that the composition of two simple harmonic of the same period and in the same straight line is also a simple harmonic motion of the same period.

Find the coordinates of the other two vertices, The two opposite vertices o...

The two opposite vertices of a square are (-1, 2) and (3, 2). Find the coordinates of the other two vertices.

Calculate plurality voting and borda count, Consider the following set of p...

Consider the following set of preference lists:                                                      Number of Voters (7)                 Rank            1          1

Math, 3 9/10 into decimal

3 9/10 into decimal

Complex root - fundamental set of solutions, Example : Back into the comple...

Example : Back into the complex root section we complete the claim that y 1 (t ) = e l t cos(µt)        and      y 2 (t) = e l t sin(µt) Those were a basic set of soluti

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd