Consider x² 441 the following equation of a quadric surface. y² z² 441 441 + = 1 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 = -21,21. (Use a comma to separate answers as needed.) OB. There are no x-intercepts. C Find the y-intercepts, if they exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The y-intercept(s) is/are located at y = 21, -21. (Use a comma to separate answers as needed.) OB. There are no y-intercepts. Find the z-intercepts, if they exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The z-intercept(s) is/are located at z = (Use a comma to separate answers as needed.) B. There are no z-intercepts. b. Find the equation of the xy-trace, if it exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The trace is not a single point. The equation of the xy-trace is OB. The trace is a single point (... O c. There is no xy-trace.
Consider x² 441 the following equation of a quadric surface. y² z² 441 441 + = 1 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 = -21,21. (Use a comma to separate answers as needed.) OB. There are no x-intercepts. C Find the y-intercepts, if they exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The y-intercept(s) is/are located at y = 21, -21. (Use a comma to separate answers as needed.) OB. There are no y-intercepts. Find the z-intercepts, if they exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The z-intercept(s) is/are located at z = (Use a comma to separate answers as needed.) B. There are no z-intercepts. b. Find the equation of the xy-trace, if it exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The trace is not a single point. The equation of the xy-trace is OB. The trace is a single point (... O c. There is no xy-trace.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 34E
Related questions
Question
![Consider the following equation of a quadric surface.
2
2
y² z²
441 441
2
X
441
+
= 1
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 = -21,21.
(Use a comma to separate answers as needed.)
B. There are no x-intercepts.
Find the y-intercepts, if they exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The y-intercept(s) is/are located at y = 21, -21.
(Use a comma to separate answers as needed.)
B. There are no y-intercepts.
Find the z-intercepts, if they exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The z-intercept(s) is/are located at z =
(Use a comma to separate answers as needed.)
B. There are no z-intercepts.
b. Find the equation of the xy-trace, if it exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The trace is not a single point. The equation of the xy-trace is
B. The trace is a single point (...
C. There is no xy-trace.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ade5d6c-ff37-4df2-b1de-522b52697cc9%2F86ec7bd9-b724-41a0-a7fc-649318d7a187%2F7mfiiin_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following equation of a quadric surface.
2
2
y² z²
441 441
2
X
441
+
= 1
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 = -21,21.
(Use a comma to separate answers as needed.)
B. There are no x-intercepts.
Find the y-intercepts, if they exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The y-intercept(s) is/are located at y = 21, -21.
(Use a comma to separate answers as needed.)
B. There are no y-intercepts.
Find the z-intercepts, if they exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The z-intercept(s) is/are located at z =
(Use a comma to separate answers as needed.)
B. There are no z-intercepts.
b. Find the equation of the xy-trace, if it exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The trace is not a single point. The equation of the xy-trace is
B. The trace is a single point (...
C. There is no xy-trace.
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