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3pz 1 22 1 81π2 1 = (²) ² (6 - ²7 ) re-²r₁ a 7 3d₂² (3) ²2 1 r²e-Zr/3a (3cos²0 − 1) 81 (67)² Plot these functions using the simplified form (using 8 values of 0° to 180°) Y3pz = cose Y3d₂² re-Zr/3a cose = cos²0 - 1 Sketch the shapes upon rotation about the z-axis Z

3pz 1 22 1 81π2 1 = (²) ² (6 - ²7 ) re-²r₁ a 7 3d₂² (3) ²2 1 r²e-Zr/3a (3cos²0 − 1) 81 (67)² Plot these functions using the simplified form (using 8 values of 0° to 180°) Y3pz = cose Y3d₂² re-Zr/3a cose = cos²0 - 1 Sketch the shapes upon rotation about the z-axis Z

Advanced Engineering Mathematics
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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5 3pz (²) ³² (6-²7 ) re-2r/³3 = 1 a 817² 1 22 7 3dzz (5) ,2 = r²e-Zr/3a (3cos²0 − 1) 81(6π)² Plot these functions using the simplified form (using 0 values of 0° to 180°): = cose Y3Pz 43d 2 re-Zr/3a cose = cos²0 - 1 b) Sketch the shapes upon rotation about the z-axis Z
Transcribed Image Text:5 3pz (²) ³² (6-²7 ) re-2r/³3 = 1 a 817² 1 22 7 3dzz (5) ,2 = r²e-Zr/3a (3cos²0 − 1) 81(6π)² Plot these functions using the simplified form (using 0 values of 0° to 180°): = cose Y3Pz 43d 2 re-Zr/3a cose = cos²0 - 1 b) Sketch the shapes upon rotation about the z-axis Z
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