Can you please help me with this? I am having a hard time analyzing and visualizing this problem. Thank you! 1Let B be the surface with equation x = -1+- y.2(a) Provide a hand-drawn sketch of B. Label the intercepts with their coordinates.(b) Let C be the trace of B in the xy-plane. Let D be the surface of revolution obtained byrevolving C about the x-axis. Give an equation of D. If applicable, give also some restrictionson any of the variables.

The surface B is given by the following equation: x=-1+12y (a) We are asked to sketch the surface B.…

Answered: 1 Let B be the surface with equation x…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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Show the complete solution for the following problems.Let S be the surface with equation given by 4x2- 9y2 = 9(z2 + 4).I. Find an equation of the trace of S on each of the coordinate planes and on the planes x = ±3√ 2. Determine if each trace is empty, a point, a (pair of) line(s), a parabola, an ellipse, or a hyperbola.II. What type of quadric surface is S?III. Using the traces obtained in I, provide a hand-drawn sketch of S. Label all important points (e.g. vertices) found on each trace.IV. View S as a surface of revolution. Find an equation of a generating curve on the xy-plane which, if revolved about the x-axis, will result to S.
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