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Consider the following integral: I = y=-2 √4-y2 1- [√√√√²² +ª + 2ªdzdzdy 32 2.2

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter1: Equations And Inequalities

Section1.CR: Chapter Review

Problem 67E: 67. Calculate the discriminant associated with the equation 6x2+5x+1=0.

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Question

Re-write the above integral in spherical coordinates and state the appropriate limits of integration, assuming an integration order of ρ first, ϕ second, and θ last.

1. Find the upper and lower limits of ρ, ϕ, and θ.

2. Evaluate the integral using spherical coordinates.

Consider the following integral:
I =
y=-2
√4-y2
1- [√√√√²² +ª + 2ªdzdzdy
32
2.2

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