Express the volume of the solid lying inside the sphere a? + y? + 22 = 8 and outside the cylinder ? + y? = 2 with triple integral in cartesian coordinates, cylindrical coordinates and spherical coordinates respectively. (22 + y2 + 22 = 8 kürenin içinde ve z? + y? = 2 silindirin dışında kalan cismin hacmini sırasıyla kartezyen koordinat, silidirik koordinat ve küresel koordinatlar ile ifade ediniz).

Q: Express the volume of the solid lying inside the sphere x? + y2 + z2 = 36 and outside the cylinder…

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Q: ind the root mean square for the equation y = 1+sindx if x =1 to x=3

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Q: Conver 4z = r2cosθ + r4sin2θ in cylindrical coordinates to cartesian coordinates. Thank you for the…

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Q: B) Show that V=367 is the volume of a sphere of radius 3 by using spherical coordinates.

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Q: Use spherical coordinates to find the volumes of the two solids obtained when the hemisphere z =…

A: Let  x=rsinθcosφy=rsinθsinφz=rcosθJ=∂x,y,z∂r,θ,ϕ=r2sinθdrdθdϕ The plane x=3 divide the hemisphere…

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Q: 1. Convert the point (-1,1, v2) from Cartesian to spherical coordinates.

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Q: lindrical coordinates. (Choose r> 0 and -2π ≤ 0 < 0).

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Q: Solve for the y-component (in cm

A: Given, a=103.4cm, b=133.7  and   r=74.3cm

Q: Converting into cylindrical coordinates the integral 9-2? p9-(z²+y*) ydzdrde 9-x2 9-a2

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Q: Change from rectangular to cylindrical coordinates. (a) (0, -4, 5) (r, 0, z) = (b) (-7,7/3, 3) (r,…

A: The relation between the Rectangular coordinates x, y, z and Cylindrical coordinates r, θ, z is…

Q: Use spherical coordinates to find the volume of the top half of the sphere x? + y? + z? = 4 that…

A: Given that a sphere x2+y2+z2=4 and a cone is z2=x2+y2 We have to find the volume of the top of the…

Q: Find the volume of the solid region which lies inside the sphere x² + y? + z² = 4z and outside of…

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Q: The spherical equation ¢ = π/2, the cylindrical equation z = 0, and the rectangular equation z = 0…

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Q: express the point (x,y,z) = (0,1,0) in spherical coordinates. Show full and complete procedure

A: To express the point (x,y,z)=(0,1,0) in spherical coordinates,Using spherical coordinates…

Q: Express the volume of the solid lying inside the sphere r2 + y? + 22 8 and outside the cylinder ? +…

A: Given:  Solid lying in a sphere x2+y2+z2=16 and outside the cylinder  x2+y2=2

Q: 1. Convert the point (-1,1, v2) from Cartesian to spherical coordinates. (a) (VZ. VZ) (b) (1., vZ)…

A: To convert the point (-1,1,√2) from cartesian coordinates to spherical coordinates.

Q: - Cone o Find the volume of the solid region above the cone (zv3)" (z 2 0) and below the sphere x² +…

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Q: find the spherical coordinate of that point has rectangular coordinates RADIA RAQIA UNIVERSITY (x,…

A: Given point in rectangular coordinates, (x, y, z)=(2, -2, 2)