Just so you know: x = pcos (0) sin (), y = psin (0) sin (6), and z = pcos (), and p? = x2 + y² + z2. Also,dV = p² sin (4) dp dø do̟'1. Evaluate fLLe z dV where E lies between the spheres x² + y² + z²1 and x2 + y? + z² = 4 in the%3DEfirst octant.

Given, ∫∫∫EzdV where E lies between the spheres x2+y2+z2=1 and x2+y2+z2=4 in the first octant.

Answered: 1. Evaluate SSSE z dV where E lies…

Math

Advanced Math

1. Evaluate SSSE z dV where E lies between the spheres x2 + y? + 2² = 1 and a? + y² + z² = 4 in the first octant.

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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Integration

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Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.

Question

Just so you know: x = pcos (0) sin (), y = psin (0) sin (6), and z = pcos (), and p? = x2 + y² + z2. Also,
dV = p² sin (4) dp dø do̟'
1. Evaluate fLLe z dV where E lies between the spheres x² + y² + z²
1 and x2 + y? + z² = 4 in the
%3D
E
first octant.

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