Find the area of the surface formed by revolving the ellipse about the z-axis (an ellipsoid) y² + a² 6²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 21RE
Question
Plz solve it within 30-40 mins with explanation and clear handwriting I'll upvote your answer
Surface Aven
D
D
X
X
S=S2x51)√1-gio
0
$(x)=b √a²-x² => g²lx)=√
(6²-y²) =7y=b₂
62
S= S₂R $(x) √H (f(s)?
JH dx
dx
1-Y²₁²=²²=4³² (1-4²2²²
about the z-axis (an ellipsoid)
Find the area of the surface formed by revolving the ellipse
x²y²
+
62
I'm unsure about this topic, and thank you for the
help!!
Transcribed Image Text:Surface Aven D D X X S=S2x51)√1-gio 0 $(x)=b √a²-x² => g²lx)=√ (6²-y²) =7y=b₂ 62 S= S₂R $(x) √H (f(s)? JH dx dx 1-Y²₁²=²²=4³² (1-4²2²² about the z-axis (an ellipsoid) Find the area of the surface formed by revolving the ellipse x²y² + 62 I'm unsure about this topic, and thank you for the help!!
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