5) Classify the surfaces, listing shape, location, and orientation: a. 4(? − 1) 2 + 9(? + 1) 2 + ? 2 = 36 b. 4? 2 − (? − 1) 2 + 16(? + 2) 2 = 9 c. ? = 4? 2 − ? 2 d. ? = 9? 2 + 16? 2 5) Classify the surfaces, listing shape, location, and orientation:a. 4(x – 1)2 + 9(y+ 1)² + z? = 36b. 4x2 - (y- 1)² + 16(z+ 2)² = 9c. z= 4x? – y?d. z = 9x2 + 16y?

Answered: 5) Classify the surfaces, listing…

5) Classify the surfaces, listing shape, location, and orientation: a. 4(? − 1) 2 + 9(? + 1) 2 + ? 2 = 36 b. 4? 2 − (? − 1) 2 + 16(? + 2) 2 = 9 c. ? = 4? 2 − ? 2 d. ? = 9? 2 + 16? 2

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter77: Machining Compound-angular Surfaces

Section: Chapter Questions

Problem 3A

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Question

5) Classify the surfaces, listing shape, location, and orientation: a. 4(? − 1) 2 + 9(? + 1) 2 + ? 2 = 36 b. 4? 2 − (? − 1) 2 + 16(? + 2) 2 = 9 c. ? = 4? 2 − ? 2 d. ? = 9? 2 + 16? 2

5) Classify the surfaces, listing shape, location, and orientation:
a. 4(x – 1)2 + 9(y+ 1)² + z? = 36
b. 4x2 - (y- 1)² + 16(z+ 2)² = 9
c. z= 4x? – y?
d. z = 9x2 + 16y?

Expert Solution

Step 1

Given:

$4 {(x - 1)}^{2} + 9 {(y + 1)}^{2} + z^{2} = 36 4 x^{2} - {(y - 1)}^{2} + 16 {(z + 2)}^{2} = 9 z - 4 x^{2} - y^{2}$

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