D1 ={(x, y, z) : x^2 + y^2 + z^2 ≤ 4 , z ≥ 0}, D2 ={(x, y, z) : −4 + x^2 + y^ Let D =D1∪D2, with 2≤ z ≤0}. Density at each point (x, y, z) in D1 δ = δ(x, y, z) = e^(x^2+y^2+z^2)^3/2 and D2What is the mass of object D if the density on the set δ = δ(x, y, z) = x2 + y2 4. D1 ={(x, y, z) : x² + y² + z² < 4, z > 0} , D2 ={(x, y, z) : –4 + x² + y² < z < 0} olmak üzere D =D1ŪD2 olsun. Dị kümesindeki her bir (x, y, z) noktasındaki yoğunluk 8 = 8(x, y, z) = e've D2kümesi üzerindeki yoğunluk 8 =8(x, y, z) = ² + y² ise D cisminin kütlesi ne olur.

Answered: Image /qna-images/answer/4f873752-e11e-4d1c-b1ba-bde4e6862df2.jpg

4. Di = {(x, y, z) : x² + y² + z² < 4, z > 0} , D2 = {(x, y, z) : -4 + x2² + y? < z < 0} olmak üzere D = D1U D2 olsun. Di kümesindeki her bir (x, y, z) noktasındaki yoğunluk d = 8(x, y, z) = e ve D2 kümesi üzerindeki yoğunluk 8 = 8(x, y, z) = ² + y² ise D cisminin kütlesi ne olur.

4. Di = {(x, y, z) : x² + y² + z² < 4, z > 0} , D2 = {(x, y, z) : -4 + x2² + y? < z < 0} olmak üzere D = D1U D2 olsun. Di kümesindeki her bir (x, y, z) noktasındaki yoğunluk d = 8(x, y, z) = e ve D2 kümesi üzerindeki yoğunluk 8 = 8(x, y, z) = ² + y² ise D cisminin kütlesi ne olur.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.4: Ordered Integral Domains

Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....

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Question

D1 ={(x, y, z) : x^2 + y^2 + z^2 ≤ 4 , z ≥ 0}, D2 ={(x, y, z) : −4 + x^2 + y^ Let D =D1∪D2, with 2≤ z ≤0}. Density at each point (x, y, z) in D1 δ = δ(x, y, z) = e^(x^2+y^2+z^2)^3/2 and D2
What is the mass of object D if the density on the set δ = δ(x, y, z) = x2 + y2

4. D1 =
{(x, y, z) : x² + y² + z² < 4, z > 0} , D2 =
{(x, y, z) : –4 + x² + y² < z < 0} olmak üzere D =
D1ŪD2 olsun. Dị kümesindeki her bir (x, y, z) noktasındaki yoğunluk 8 = 8(x, y, z) = e'
ve D2
kümesi üzerindeki yoğunluk 8 =
8(x, y, z) = ² + y² ise D cisminin kütlesi ne olur.

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