   Chapter 12, Problem 35RE

Chapter
Section
Textbook Problem

# Identify and sketch the graph of each surface.35. 4x2 + 4y2 − 8y + z2 = 0

(a)

To determine
The given surface equation.
Explanation

Given data:

Surface equation is 4x2+4y28y+z2=0 .

Formula used:

Consider the standard equation of an ellipsoid.

x2a2+y2b2+z2c2=1 (1)

Consider the given surface equation.

4x2+4y28y+z2=0 (2)

Rearrange the equation.

4x2+4(y1)2+z2=4x2+4(y1)24+z24=44

(b)

To determine

To sketch: The surface equation 4x2+4y28y+z2=0 .

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