Express the volume of the solid lying inside the sphere z +y? +z2 = 4 and outside the cylinder z + y? = 1 with triple integral in cartesian coordinates, cylindrical coordinates and spherical coordinates respectively.(z + y? + 2 = 4 kürenin içinde ve z +y =1 silindirin dışında kalan cismin hacmini sırasıyla kartezyen koordinat, silidirik koordinat ve küresel koordinatlar ile ifade ediniz).Lütfen birini seçin:2 va Vdz dy dz,rdr dz do,4Ti Psino dp dø dô,dz dy dz,2 rdzdr do,/6 1/atno2r 2 vardr dz de,25 T sino dpdó do,1/aindde dydz,2r 2 va!! rdzdr do,/6 1/strnd4 V Vy0 de dydz,s rdzdr di,*/6 1/atnd

The given equation of the sphere is x2 + y2 + z2 = 4. Also the given equation of the cylinder is x2…

Express the volume of the solid lying inside the sphere r +y +2 =4 and outside the cylinder z +y =1 with triple integral in cartesian coordinates, cylindrical coordinates and spherical coordinates respectively.

Express the volume of the solid lying inside the sphere r +y +2 =4 and outside the cylinder z +y =1 with triple integral in cartesian coordinates, cylindrical coordinates and spherical coordinates respectively.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...

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Question

Express the volume of the solid lying inside the sphere z +y? +z2 = 4 and outside the cylinder z + y? = 1 with triple integral in cartesian coordinates, cylindrical coordinates and spherical coordinates respectively.
(z + y? + 2 = 4 kürenin içinde ve z +y =1 silindirin dışında kalan cismin hacmini sırasıyla kartezyen koordinat, silidirik koordinat ve küresel koordinatlar ile ifade ediniz).
Lütfen birini seçin:
2 va V
dz dy dz,
rdr dz do,
4Ti Psino dp dø dô,
dz dy dz,
2 rdzdr do,
/6 1/atno
2r 2 va
rdr dz de,
25 T sino dpdó do,
1/aind
de dydz,
2r 2 va
!! rdzdr do,
/6 1/strnd
4 V Vy
0 de dydz,
s rdzdr di,
*/6 1/atnd

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