answer number 2 with solution for important traces Given: surface Q : 9x² – 4z² = 9y(a) Give the equation of the trace of Q on each coordinate plane and on the planes y = 4 and y = -4. Identifyeach trace.(b) Identify the quadric surface and sketch the graph of Q. Label all important points on the traces.

Answered: iven: surface Q : 9x² – 4z² = 9y a)…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.2: Ellipses

Problem 20E

See similar textbooks

Similar questions

An ellipse is the set of all points in the plane for which the ____ of the distances from two fixed points F1 and F2 is constant. The points F1 and F2 are called the ____ of the ellipse.
Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
Given: surface G : y = e^Z(1) Graph S in the three-dimensional space. (2) Find the equation and sketch the graph of the surface generated by G revolved about the y-axis.
13.6.37 #6 Consider the following equation of a quadric surface. x^2/16+y^2/441=z^2 a. Find the intercepts with the three coordinate axes, if they exist. b. Find the equations of the xy-, xz-, and yz-traces, if they exist. c. Sketch a graph of the surface.
Given: surface G : 9x^2 - 4z^2 = 9y(a) Give the equation of the trace of G on each coordinate plane and on the planes y = 4 and y = -4: Identify each trace. (b) Identify the quadric surface and sketch the graph of G. Label all important points on the traces.
Let S be the surface with equation 4y2 + 4z2 - x2 - 16 = 01) Find an equation of the trace of S on each of the coordinate planes, and on the planes x = ± 4*(square root of 3). Identify each trace.2) Identify the type of quadric surface for S.Please write answers and solutions paper, do not just type them.
Graph the curve 8y2 = x2 (1 − x2 ). Use a computer algebra system to find the surface area of the solid of revolution obtained by revolving the curve about the y-axis.
Find an equation of the surface of revolution generated by revolving the plane curve about the indicated axis. Draw a sketch of the surface. (a) x² = 4y; about the y - axis
Analyze the trace when the surface z = (1/2)x2 + (1/4) y2 is intersected by the indicated planes. Find the coordinates of the focus of the parabola formed when the surface is intersected by the planes given by (a) y = 4 and (b) x = 2.
Sketch the surface (−x2/16 + y2/16) = z. Choose the correct graph of the equation.
Given 3x^2 +6y^2-z^2 = 36. Find and sketch each of the traces. what is the quadric surface is represented by 3x^2 +6y^2-z^2 = 36

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

SEE MORE TEXTBOOKS

iven: surface Q : 9x² – 4z² = 9y a) Give the equation of the trace of Q on each coordinate plane and on the planes y = 4 and y = -4. Identify each trace. b) Identify the quadric surface and sketch the graph of Q. Label all important points on the traces.