Consider the following equation of a quadric surface. x=4-4y²-z² 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. a. Find the x-intercepts, if they exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The x-intercept(s) is/are located at x = (Use a comma to separate answers as needed.) B. There is no x-intercept.
Consider the following equation of a quadric surface. x=4-4y²-z² 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. a. Find the x-intercepts, if they exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The x-intercept(s) is/are located at x = (Use a comma to separate answers as needed.) B. There is no x-intercept.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 58E
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Transcribed Image Text:Consider the following equation of a quadric surface.
x=4-4y²-z²
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.
a. Find the x-intercepts, if they exist. Select the correct choice below and, if necessary, fill in the answer box to complete
your choice.
A. The x-intercept(s) is/are located at x =
(Use a comma to separate answers as needed.)
B. There is no x-intercept.
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