Describe the domain of integration of the integral. √81-x² [²√ √81-x²-y² Im Choose the inequalities which describe the domain. So So 0.0≤x≤ √√81-x²,0 ≤ y ≤ 9,0 ≤ z ≤ √√81 - x² - y² 00≤x≤9,0 ≤ y ≤ √√81-x²,0 ≤z≤ √√81-x² - 00≤x≤9,0 ≤ y ≤ √√81-x² - y²,0 ≤ z≤ √√81 - x² 00≤x≤ √81-x² - y²,0 ≤ y ≤ 9,0 ≤ z ≤ √√81-x² y² /81-x² Evaluate the integral. (Use symbolic notation and fractions where needed.) xy dz dy dx S 81-x²-y2 xy dz dy dx =
Describe the domain of integration of the integral. √81-x² [²√ √81-x²-y² Im Choose the inequalities which describe the domain. So So 0.0≤x≤ √√81-x²,0 ≤ y ≤ 9,0 ≤ z ≤ √√81 - x² - y² 00≤x≤9,0 ≤ y ≤ √√81-x²,0 ≤z≤ √√81-x² - 00≤x≤9,0 ≤ y ≤ √√81-x² - y²,0 ≤ z≤ √√81 - x² 00≤x≤ √81-x² - y²,0 ≤ y ≤ 9,0 ≤ z ≤ √√81-x² y² /81-x² Evaluate the integral. (Use symbolic notation and fractions where needed.) xy dz dy dx S 81-x²-y2 xy dz dy dx =
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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Transcribed Image Text:Describe the domain of integration of the integral.
√81-x²
[²√
√81-x²-y²
Im
Choose the inequalities which describe the domain.
So So
0.0≤x≤ √√81-x²,0 ≤ y ≤ 9,0 ≤ z ≤ √√81 - x² - y²
00≤x≤9,0 ≤ y ≤ √√81-x²,0 ≤z≤ √√81-x² -
00≤x≤9,0 ≤ y ≤ √√81-x² - y²,0 ≤ z≤ √√81 - x²
00≤x≤ √81-x² - y²,0 ≤ y ≤ 9,0 ≤ z ≤ √√81-x²
y²
/81-x²
Evaluate the integral.
(Use symbolic notation and fractions where needed.)
xy dz dy dx
S
81-x²-y2
xy dz dy dx =
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