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please check your answer Let W be the solid between a hemisphere of radius 3 and a hemisphere of radius 6, but not...
please check your answer x,y and z are measured in cm Let W be the solid between a hemisphere of radi us 3 and a hem...
please check your answer
x,y and z are measured in cm
Let W be the solid between a hemisphere of radi us 3 and a hemisphere of radius 6, but not in the first octant (a) Suppose the density at a point (x, y, z) is proportional to the distance from the origin. Find a formula P(x,y, z) = (b) Use spherical coordinates to set up the integral to find the mass of W For instructor's notes only. Do not...
please check your answer Question Details Let W be the solid in the first octant bounded by the top half of the cyl...
please check your answer
Question Details Let W be the solid in the first octant bounded by the top half of the cylinder x2 +z2= 36 and the plane x + y = 6 y Use Cartesian (rectangular) coordinates to set up the integral to find the volume of W in the order dydxdz. dy dz dx For instructor's notes only. Do not write in the box below.
Question Details Let W be the solid in the first octant bounded...
Let W be the sold prism shown below (not drawn to scale). This prism has sides on the three coordinate planes with...
Let W be the sold prism shown below (not drawn to scale). This prism has sides on the three coordinate planes with 0 sxs 8, 0sys 11, and 0szs 24. (a) When setting up a triple integral to find the volume of the solid, what is the shape of the "shadow" f we integrate in the order dy dz de -Select- (b) What is the equation of the diagonal plane that forms the slanted surface? and x, y, and z...
3. Use spherical coordinates: b) Find the centroid of the solid hemisphere of radius a, centered ...
3. Use spherical coordinates: b) Find the centroid of the solid hemisphere of radius a, centered at the origin and lying above the xy- plane.
3. Use spherical coordinates: b) Find the centroid of the solid hemisphere of radius a, centered at the origin and lying above the xy- plane.
Use spherical coordinates to find the mass m of a solid Q that lies between the spheres x2 + y2 +z" 1 and x2 + y2 + z2-4 given that the density at each point P(x, y, z) is inversely proport...
Use spherical coordinates to find the mass m of a solid Q that lies between the spheres x2 + y2 +z" 1 and x2 + y2 + z2-4 given that the density at each point P(x, y, z) is inversely proportional to the distance from P to the origin and 8(o, 3,02 15 pts] (0, 1,0)-2/m3 from P to the origin and
Use spherical coordinates to find the mass m of a solid Q that lies between the spheres x2...
1. Find the integral of the function f(x, y, z)xy+2 z over the region enclosed by the planex +y+z...
please answer question 3.
1. Find the integral of the function f(x, y, z)xy+2 z over the region enclosed by the planex +y+z 2 2. Find the volume and center of gravity for the solid in the first octant (x 20, y 20, z20) bounded by 3. Find the center of mass for the solid hemisphere centered at the origin with radius a if the density and the coordinate planes z0,y 0, and x0 the parabolic ellipsoid Z-4-r-y. function is...
QUESTION 9 A cake is shaped like a hemisphere of radius 4 units with its base on the xy plane (a) Find the volume of th...
QUESTION 9 A cake is shaped like a hemisphere of radius 4 units with its base on the xy plane (a) Find the volume of the cake using spherical coordinates (5 marks) (b) Now suppose the cake is sliced by a plane perpendicular to the xy -plane at x = a, a > 0 . Let D be the smaller of two pieces produced. Set up a suitable integral for the volume of D (DO NOT EVALUATE). (7 marks)
QUESTION...
1. (20 points) Suppose B is the solid region inside the sphere 2+ y2 +2 4, above the plane = 1, a...
Please show all steps. Thank you, need to verify what I'm doing
wrong.
1. (20 points) Suppose B is the solid region inside the sphere 2+ y2 +2 4, above the plane = 1, and in the first octant (z, y, z 0)、z, y and z are measured in meters and the density over B is given by the function p(z, y, z)-(12 + y2 + ?)-1 kg/m3 (a) Set up and write the triple integral that gives the mass...
Sketch the solid in the first octant bounded by: z= 6 - 3x and y=x, and...
Sketch the solid in the first octant bounded by: z= 6 - 3x and y=x, and given a volume density proportional to the distance to the xz-plane, find the mass of the solid.
1) a.(20 pts) Set up the integral corresponding to the volume of the solid bounded above by the sphere x2+y2 + z2 16 and below by the cone z2 -3x2 + 3y2 and x 2 0 and y 20. You may want to graph...
1) a.(20 pts) Set up the integral corresponding to the volume of the solid bounded above by the sphere x2+y2 + z2 16 and below by the cone z2 -3x2 + 3y2 and x 2 0 and y 20. You may want to graph the region. b. (30 pts) Now find the mass of the solid in part a if the density of the solid is proportional to the distance that the z-coordinate is from the origin. Look at pg...
please check your answer
x,y and z are measured in cm
Let W be the solid between a hemisphere of radi us 3 and a hemisphere of radius 6, but not in the first octant (a) Suppose the density at a point (x, y, z) is proportional to the distance from the origin. Find a formula P(x,y, z) = (b) Use spherical coordinates to set up the integral to find the mass of W For instructor's notes only. Do not...
please check your answer
Question Details Let W be the solid in the first octant bounded by the top half of the cylinder x2 +z2= 36 and the plane x + y = 6 y Use Cartesian (rectangular) coordinates to set up the integral to find the volume of W in the order dydxdz. dy dz dx For instructor's notes only. Do not write in the box below.
Question Details Let W be the solid in the first octant bounded...
Let W be the sold prism shown below (not drawn to scale). This prism has sides on the three coordinate planes with 0 sxs 8, 0sys 11, and 0szs 24. (a) When setting up a triple integral to find the volume of the solid, what is the shape of the "shadow" f we integrate in the order dy dz de -Select- (b) What is the equation of the diagonal plane that forms the slanted surface? and x, y, and z...
3. Use spherical coordinates: b) Find the centroid of the solid hemisphere of radius a, centered at the origin and lying above the xy- plane.
3. Use spherical coordinates: b) Find the centroid of the solid hemisphere of radius a, centered at the origin and lying above the xy- plane.
Use spherical coordinates to find the mass m of a solid Q that lies between the spheres x2 + y2 +z" 1 and x2 + y2 + z2-4 given that the density at each point P(x, y, z) is inversely proportional to the distance from P to the origin and 8(o, 3,02 15 pts] (0, 1,0)-2/m3 from P to the origin and
Use spherical coordinates to find the mass m of a solid Q that lies between the spheres x2...
please answer question 3.
1. Find the integral of the function f(x, y, z)xy+2 z over the region enclosed by the planex +y+z 2 2. Find the volume and center of gravity for the solid in the first octant (x 20, y 20, z20) bounded by 3. Find the center of mass for the solid hemisphere centered at the origin with radius a if the density and the coordinate planes z0,y 0, and x0 the parabolic ellipsoid Z-4-r-y. function is...
QUESTION 9 A cake is shaped like a hemisphere of radius 4 units with its base on the xy plane (a) Find the volume of the cake using spherical coordinates (5 marks) (b) Now suppose the cake is sliced by a plane perpendicular to the xy -plane at x = a, a > 0 . Let D be the smaller of two pieces produced. Set up a suitable integral for the volume of D (DO NOT EVALUATE). (7 marks)
QUESTION...
Please show all steps. Thank you, need to verify what I'm doing
wrong.
1. (20 points) Suppose B is the solid region inside the sphere 2+ y2 +2 4, above the plane = 1, and in the first octant (z, y, z 0)、z, y and z are measured in meters and the density over B is given by the function p(z, y, z)-(12 + y2 + ?)-1 kg/m3 (a) Set up and write the triple integral that gives the mass...
Sketch the solid in the first octant bounded by: z= 6 - 3x and y=x, and given a volume density proportional to the distance to the xz-plane, find the mass of the solid.
1) a.(20 pts) Set up the integral corresponding to the volume of the solid bounded above by the sphere x2+y2 + z2 16 and below by the cone z2 -3x2 + 3y2 and x 2 0 and y 20. You may want to graph the region. b. (30 pts) Now find the mass of the solid in part a if the density of the solid is proportional to the distance that the z-coordinate is from the origin. Look at pg...
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