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

Stages of multiplication from the beginning, What is our aim when teaching ...

What is our aim when teaching children multiplication? Firstly they should be able to judge which situations they need to multiply in, and the numbers that are to be multiplied sec

Surface area with polar coordinates, Surface Area with Polar Coordinates ...

Surface Area with Polar Coordinates We will be searching for at surface area in polar coordinates in this part.  Note though that all we're going to do is illustrate the formu

Explain why f must be a di?erentiable function, Let f : R 3 → R be de?ned ...

Let f : R 3 → R be de?ned by:                                        f(x, y, z) = xy 2 + x 3 z 4 + y 5 z 6 a) Compute ~ ∇f(x, y, z) , and evaluate ~ ∇f(2, 1, 1) . b) Brie?y

Equations and Inequalities, Write an algebraic expression for “Julie runs t...

Write an algebraic expression for “Julie runs three miles less than twice the number of miles,

How many square centimeters are in one square meter, How many square centim...

How many square centimeters are in one square meter? There are 100 cm in a meter. A square meter is 100 cm through 100 cm. The area of this is 10,000 sq cm (100 × 100 = 10,000)

Solid geometry, what is solid geometry and uses of solid geometry

what is solid geometry and uses of solid geometry

What was joe's approximate raw act score, Using the same mean and standard ...

Using the same mean and standard deviation from problem 10 (mean m = 20.1 and a standard deviation s = 5.8). Joe was informed that he scored at the 68 th percentile on the ACT, wh

Finding length and height with volume and width?, I figured out the volume ...

I figured out the volume and the width, but I have no idea how to use that information to get the height and the length!

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