If you could write out the
solution neatly so I can study from it
If you could write out the solution neatly so I can study from it 8. (a)...
(1 point) The region W is the cone shown below. The angle at the vertex is #/3, and the top is flat and at a height of 3v3. Write the limits of integration for wdV in the following coordinates (do not reduce the domain of integration by taking advantage of symmetry): (a) Cartesian: With a = .b = .d = and f = e = Volume = / ddd (b) Cylindrical: With a = CE and f = ddd e...
If R is a solid in space with density ρ(x, y, z), it's centre of mass is the point with coordinates i, y, 2, given by za(x, y, z) dV, where z, y, z) dV is the mass of the object. Find the centre of mass of each solid R below (a) Rls the cube with 0 < x < b, 0· у<b, 0-2-band ρ(x, y, z) = x2 + y2 + 22; (b) R is the tetrahedron bounded by...
(1 point) The motion of a solid object can be analyzed by thinking of the mass as concentrated at a single point, the center of mass. If the object has density p(x, y, z) at the point (2, y, z) and occupies a region W, then the coordinates (@, y, z) of the center of mass are given by = NNW updv y= ST ypdV = .SIL apav, m Assume x, y, z are in cm. Let C be a...
Hi, I need help solving number 13. Please show all the steps,
thank you. :)
Consider the solid Q bounded by z-2-y2;z-tx at each point Р (x, y, z) is given by mass of Q [15 pts] 9. x-4. The density Z/m 3 . Find the center of (x, y, z) [15 pts] 10. Evaluate the following integral: ee' dy dzdx [15 pts] 11. Use spherical coordinates to find the mass m of a solid Q that lies between the...
Bonus. (8 pts) Many of the definitions we used for two-dimensional mass and moments can be extended to three dimensions rather easily. For example, mass = ESSA 1, 2) av would represent the mass of the solid Q where p(x, y, ) is the density at any point (x, y, z). Find the mass of the solid bounded laterally by the cylinder 2? + y2 = 2x and bounded above and below by the cone x2 = x2 + y2....
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...
i need help with all the questions. i will rate. thank
you
Given that pix.y.z) is the density function at point (x.y.z), the triple integral given by: SSS (x,y,z) AV represents... the volume of the solid region Q. the mass of the solid region Q. the center of mass of the solid region Q. the moment of inertia of the solid region Q. Let R be the region: {(x,y): x2 + y2 59} Then If raa rdA= оо 6TT O...
stop
getting this sh1it wrong
(1 point) The motion of a solid object can be analyzed by thinking of the mass as concentrated at a single point, the center of mass. If the object has density p(x, y, z) at the point (x, y, z) and occupies a region W, then the coordinates (x, y, z) of the center of mass are given by 1 хр dV у %3 т Jw 1 ур dV т Jw 1 гp dV, т...
1) (a) A conducting sphere of radius R has total charge Q, which is distributed uniformly on its surface. Using Gauss's law, find the electric field at a point outside the sphere at a distance r from its center, i.e. with r > R, and also at a point inside the sphere, i.e. with r < R. (b) A charged rod with length L lies along the z-axis from x= 0 to x = L and has linear charge density λ(x)...
18.) compute the mass of a thin wire that lies on the conve r(t) = {t,+²+4> with ostea if the density of the wire is given by 8(x,y)=7X has had a 17.) The hemisphere between z= 116-X²_yz ť z=0 hole drilled out in the shape of the cylinder x² + y2 =4. fill in the blanks with the correct limits of integration in the using cylindrical coordinates to describe the solid that with nese remains EE rezordo 10