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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

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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