Find the total mass of the wire with density p whose shape is modeled by r. r(t) = t2i + 2tj + tk, p(x, y, z) = kz (k > 0) ists4 %3D

Q: A solid formed by revolving about the y-axis, the area bounded by the curve y=x4, the y-axis, and…

A: Given that  area bounded by the curve y=x4, the y-axis, and the line y=16.  To find the centroid of…

Q: Find a center of mass of a thin plate of density 8 = 3 bounded by the lines y = x and x = 0 and the…

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Q: Find the volume of the se

A: Given, the curve                   y2(a+x)=x2(a-x)

Q: unction be p(x, y) = 1+ y. Find the mass of D.

A: Solution:-  Given D  be the region enclosed by the curve                      x2+y2=2y  and the…

Q: A lamina occupies the region inside the circle x2 + y2 = 10y but outside the circle x2 + y2 = 25.…

A: x2+y2=10yx2+y2=25Equation of two circles.

Q: A lamina is in the shape of the region bounded by the lines x = 1 and y = 2, and the parabola y =…

A: Let's find.

Q: A planar region is given by D = {(x, y) : x² + y² 0, y 2 0} . The density of this region is given…

A: We have to find the mass of the given region.

Q: Calculate the moments Mx and My and the center of mass of a lamina with the given density and shape.…

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Q: Find a center of mass of a thin plate of density 8 = 5 bounded by the lines y = x and x = 0 and the…

A: Center of mass of the plate is given by  x,y=MyM,MxM here M=∫∫D δx,ydAMx=∫∫D yδx,ydAMy=∫∫D xδx,ydA…

Q: Electric charge is distributed over the disk x² + y² ≤ 13 so that the charge density is o(x, y) = 2…

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Q: A lamina occupies the region inside the circle x² + y² = 10y but outside the circle x² + y² = 25.…

A: