Determine the volume charge density, in pC/m3, at (3, -8, -2) if the electric field present in the region is E = sin (3 x + 2 y + 3 z) V/m. All coordinates are measured in meters.

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A: To find - Find the volume under fx, y = x over the region enclosed by r = 5sin2θ in the first…

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A: Given that,  δ(x,y,z) = e-z,  r = 2  and z=4 By using of formula, M = ∫∫∫W δx,y,z dvMxy = ∫∫∫W z…

Q: Compute the center of mass on a rod of density p(x) = 3x° + xe' with a E (0, 2). 12.5939 Round to 4…

A: Explained below

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Q: D. Calculate volume enclosed by (z = 8-x² - y²) and (z = x² + y²), (Use order dy dz dx). وكنت طول

A: Given

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A: To find- Determine the surface area generated by revolving the arc 3y = 4x from x=0 to x=3 about the…

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A: We have given; The mass density and

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A: Given that

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Q: 12. Find the surface area of the solid obtained by rotating about the x-axis for 1sxs3.

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Q: D. Calculate volume enclosed by (z 8-x²-y) and (z x2 +y²), (Use order dx dy dz).

A: Here we use basic formula of volume

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A: We will use integration to solve this

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Q: Find the Mass, Moments along x and y, Center of Mass, and Moments of Inertia of the region bounded…

A: The given region is bounded by x+y=2, x=0, y=0 as shown below: The region is given by R=x, y:…

Q: Consider a thin plate of constant density d lying in the regionbounded by the graphs of y = √x and x…

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