Cone - three dimensional spaces, Mathematics

Assignment Help:

Cone - Three dimensional spaces

The below equation is the general equation of a cone.

X2 / a2 + y2/b2 = z2/c2

Here is a diagram of a typical cone.

1964_Cone - Three dimensional spaces.png

Notice that this is the equation of a cone which will open along the z-axis.  To obtain the equation of a cone that opens along one of the other axes all there is a requirement to do is make a slight modification of the equation.  This will be the example for the rest of the surfaces that we'll be looking at in this part also.

In the case of a cone the variable which sits by itself on one side of the equal sign will determine the axis that the cone opens up along.  For example, a cone that opens up along the x-axis will comprise the equation,

y2/ b2 + z2/c2 = x2/a2 

For several surfaces we will not give the other possible formulas. Though we will acknowledge how each formula requires to be changed to get a change of orientation for the surface.


Related Discussions:- Cone - three dimensional spaces

Tangents, two circle of radius of 2cm &3cm &diameter of 8cm dram common tan...

two circle of radius of 2cm &3cm &diameter of 8cm dram common tangent

Word problem, On a canoe trip. a person paddled upstream against the curren...

On a canoe trip. a person paddled upstream against the current ata an average of 2mi/h. the return trip with the current at 3mi/h. Need to find the paddling spped in still water an

Each child is unique in learning development, Each Child Is Unique :  Alth...

Each Child Is Unique :  Although every child goes through similar stages of development, the process may vary from one set of children to another, and also from one child to anoth

Proof of constant times a function, Proof of Constant Times a Function: ...

Proof of Constant Times a Function: (cf(x))′ = cf ′(x) It is very easy property to prove using the definition given you a recall, we can factor a constant out of a limit. No

The laplace method, The Laplace method Laplace method employs all the i...

The Laplace method Laplace method employs all the information by assigning equal probabilities to the possible payoffs for every action and then selecting such alternative whic

#title., Julia must do a 70:30 split of all of her profits with the Departm...

Julia must do a 70:30 split of all of her profits with the Department of Athletics. Julia also has the ability to sell soft drinks. If she decide to sell soft drinks, she must agre

Square of a number added to 25 equals 10 times the number, The square of a ...

The square of a number added to 25 equals 10 times the number. What is the number? Let x = the number.  The statement, "The square of a number added to 25 equals 10 times the n

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