1. For part a) find the area of the region bounded by the given set of functions. For parts b) and c), find the volume under each surface and over the region bounded by the functions (x-4)² 9 a) The upper part of the ellipse + (y-3)² 4 = 1; the lower part of the ellipse (x-4)² 9 (y-1)² + 4 = 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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show full and complete procedure HANDWRITTEN only, please answer a) b) and c). Note they are subparts of one same question 

1. For part a) find the area of the region bounded by the given set of functions. For parts b)
and c), find the volume under each surface and over the region bounded by the functions
(x-4)² (y-3)²
a) The upper part of the ellipse +
9
4
1
b) z = 4 — x² – ²y²; z = 0
c) z = xey; y = x² ; x = 0; y = 4
=
1; the lower part of the ellipse
-4)² (y-1)²
+
9
4
=1
Transcribed Image Text:1. For part a) find the area of the region bounded by the given set of functions. For parts b) and c), find the volume under each surface and over the region bounded by the functions (x-4)² (y-3)² a) The upper part of the ellipse + 9 4 1 b) z = 4 — x² – ²y²; z = 0 c) z = xey; y = x² ; x = 0; y = 4 = 1; the lower part of the ellipse -4)² (y-1)² + 9 4 =1
Expert Solution
Step 1

1. a) we take a general equation for ellipse

         is x²/a² + y²/b² = 1

 

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