Question

what is the graph of ax^2+by^2+cz^2=d^2 how to draw it？

what is the graph of ax^2+by^2+cz^2=d^2
how to draw it？

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The given equation is , ax2 + by2 + cz2 = d2 which contains three variables namely x , y , z . So this is a 3 dimensional graph we cannot plot by hand but I'm explaining shape of it and how to construct .

In 2-dimension we know that the equation ax2 + by2 = c2 represents a ellipse because this equation can be written as ,

Which is a standard equation of an ellipse .

Similarly in 3-dimension the given equation can be written as ,

Which represents the equation of paraboloid , which can be construct by rotating an two dimensional ellipse about its major axis .

The graph ( half) of the three dimensional graph ax2 + by2 + cz2 = d2 is following ,

This is somewhat look like half egg and an ellipse is just an full egg.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose a person’s utility is U =AX + BY +CZ What would be the demand curve...
Suppose a person’s utility is U =AX + BY +CZ What would be the demand curve for X? Why?
. Show that ax + by + cz = 0 a1x + b1y + c1z =...
. Show that ax + by + cz = 0 a1x + b1y + c1z = 0 always has solutions other than x = y = z = 0. (Hint: use rank)
First, create 3 equations of the form ax+by+cz=d , where a, b, c, and d are...
First, create 3 equations of the form ax+by+cz=d , where a, b, c, and d are constants (integers between – 5 and 5). For example, x + 2y – 2= -1 . Perform row operations on your system to obtain a row-echelon form and the solution. Go to the 3D calculator website GeoGebra: www.geogebra.org/3d?lang=pt and enter each of the equations. After you have completed this first task, choose one of the following to complete your discussion post. 1. Reflect on...
Given the components of the vectors, A, B, and C Ax = 5 Bx=4 Cx =10...
Given the components of the vectors, A, B, and C Ax = 5 Bx=4 Cx =10 Ay = -3 By=6 Cy =6 Az = 10 Bz=-2 Cz =0 Find (a) AiCiBx, (b) AiAyBi, (c) AiBiCj , and (d) AiBiCjAk
1) Draw the money market. 2) Show on the graph above what happens to money demand...
1) Draw the money market. 2) Show on the graph above what happens to money demand with the economic collapse caused by corona virus. 3) Now add to the graph what the Fed will do to MS in response.
1. Economic Growth a. Use a stylized graph to draw an aggregate production function (APF). (2...
1. Economic Growth a. Use a stylized graph to draw an aggregate production function (APF). b. Using a new stylized graph for each example show how the following would change the APF. 1. A decrease in the labour force participation rate (1 mark) 2. An increase in the capital stock of a country (1 mark) 3. A natural disaster that damaged critical infrastructure (1 mark) c. Using a stylized graph, draw the labour market in equilibrium. d. How will an...
How should we describe a line in space using Algebra? Hint: 1. We can think of...
How should we describe a line in space using Algebra? Hint: 1. We can think of a plane as a collection of vectors in space which satisfies an equation of the form ax + by + cz = d. False, because we can move vectors around, which will mess up the plane. 2. We can think of a plane as a collection of vectors in space whose starting point must be at the origin which satisfies an equation of the...
How should I draw a graph of the economy in a recessionary (or inflationary) gap situation...
How should I draw a graph of the economy in a recessionary (or inflationary) gap situation on the graph and show how expansionary (or contractionary) fiscal policy works?
Intro to graph theory question: 1) Draw a graph G with w(G) = 2 (w(g) is...
Intro to graph theory question: 1) Draw a graph G with w(G) = 2 (w(g) is clique number) and x(G) = 5 (x(g) is chromatic number)
If 50 kg of ultrapure polysilicon is loaded into a CZ crystal puller, how much boron...
If 50 kg of ultrapure polysilicon is loaded into a CZ crystal puller, how much boron should be added if the target doping level of the ingot is 10 ohm-cm?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT