1. Determine the graph of the given equation. a. x2 + y? + z2 – 8x + 4y + 2z– 4 = 0 b. x2 + y2 + z2 – 8y + 6z – 25 = 0 c. x2 + y? + z² – 6z + 9 = 0 d. x2 + y2 + z² – x - y- 3z + 2 = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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SEATWORK Solve one number [say, 1(c)] and submit a clear and upright photo of your
solution through private message.
1. Determine the graph of the given equation.
a. x? + y? + z2 – 8x + 4y + 2z – 4 = 0
b. x2 + y? + z² – 8y + 6z – 25 = 0
c. x2 + y? + z² – 6z + 9 = 0
d. x2 + y2 + z2 – x - y – 3z + 2 = 0
2. Find an equation of the sphere satisfying the given conditions.
a. It is concentric with the sphere x? +y? + z? – 2y + 8z – 9 = 0.
b. The sphere passes through the points (1, 0, 0), (1, 1, 0), (1, 1, 1).
Transcribed Image Text:SEATWORK Solve one number [say, 1(c)] and submit a clear and upright photo of your solution through private message. 1. Determine the graph of the given equation. a. x? + y? + z2 – 8x + 4y + 2z – 4 = 0 b. x2 + y? + z² – 8y + 6z – 25 = 0 c. x2 + y? + z² – 6z + 9 = 0 d. x2 + y2 + z2 – x - y – 3z + 2 = 0 2. Find an equation of the sphere satisfying the given conditions. a. It is concentric with the sphere x? +y? + z? – 2y + 8z – 9 = 0. b. The sphere passes through the points (1, 0, 0), (1, 1, 0), (1, 1, 1).
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