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

Complex number, The points A,B,C and D represent the numbers Z1,Z2,Z3 and Z...

The points A,B,C and D represent the numbers Z1,Z2,Z3 and Z4.ABCD is rhombus;AC=2BD.if  Z2=2+i ,Z4=1-2i,find Z1 and Z3 Ans) B(2,1) , D(1,-2) Mid Point (3/2,-1/2) Write Equati

Parametric equations of parabola., how the parametric equations of parabola...

how the parametric equations of parabola are derived?and what is the condition for the parabola whose equation is in the form of general equation of the two intersecting lines?

Proof of: limq?0 (cosq -1)/q = 0 trig limit, Proof of: lim q →0 (co...

Proof of: lim q →0 (cos q -1) / q = 0 We will begin by doing the following, lim q →0 (cosq -1)/q = lim q →0 ((cosq - 1)(cosq + 1))/(q (cosq + 1)) = lim q

Auxiliary methods for information distribution, AUXILIARY METHODS There...

AUXILIARY METHODS There are other reprographic methods which although commonly used earlier, are now mainly used for specific purposes. We think you should be aware of these me

Draw tangent graph y = sec ( x ), G raph y = sec ( x ) Solution: As wi...

G raph y = sec ( x ) Solution: As with tangent we will have to avoid x's for which cosine is zero (recall that sec x =1/ cos x) Secant will not present at

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

Explain measurement conversions in details, Explain Measurement Conversions...

Explain Measurement Conversions in details? The following tables show measurements of length, distance, and weight converted from one system to the other. Length and Distanc

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