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please answer 5-7 in detail
5. Find the center of mass of the rectangular lamina with...
6. Find the center of mass of the rectangular lamina with vertices (0,0), (6,0), (0, 24)...
6. Find the center of mass of the rectangular lamina with vertices (0,0), (6,0), (0, 24) and (6, 24) for the density p = kxy. 7. Find the area of the surface given by z =f(x,y) over the region R. f(x,y) = 3 – 2x + 5y R: square with vertices (0,0), (4,0),(4,4),(0,4)
1 Find the mass and center of mass of the lamina that occupies the region D and has the given density function ρ. ญา D is the triangular region with vertices (0, 0), (2, 1), (0, 3); function 2- Use p...
1 Find the mass and center of mass of the lamina that occupies the region D and has the given density function ρ. ญา D is the triangular region with vertices (0, 0), (2, 1), (0, 3); function 2- Use polar coordinates to combine the sum 3- Find the volume of the solid that lies between the paraboloid zxy2 and the sphere x2 + y2+ z22.
1 Find the mass and center of mass of the lamina that occupies the...
Find the mass of the lamina that is the portion of the circular cylinder x? +3+...
Find the mass of the lamina that is the portion of the circular cylinder x? +3+ = 4 that lies directly above the rectangle R= {(x, y): 0 < x < 1,0 <y s4} in the xy-plane. Assume the lamina has a constant density of do. Enter the exact answer in terms of do. M= ? Edit
find the mass of the lamina that is the portion of the surface y = 4-z...
find the mass of the lamina that is the portion of the surface y = 4-z between the planes x = 0, x = 3, y = 0, and y = 3 if the density function is 15. p= y. Answer: 56.02
A. Find the center of mass for lamina defined by the interior of the polar curve r=sin(3) with a ...
a. Find the center of mass for lamina defined by the interior of
the polar curve r=sin(3) with a density
that varies according to p(r,theta)=1/r
b. Find the volume of the cylinder inside the sphere
For part a I got a mass of 2 but not sure about the x bar and y
bar calculations.
For part b Im stuck on the z bounds for the integral when doing
the problem with the cylindrical coordinate method.
We were unable to...
Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given density
Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given densityy=x³, y=0, x=2, ρ=kx
Find the center of mass of the lamina that occupies the region R with the given...
Find the center of mass of the lamina that occupies the region R with the given density function. R = {y = 0, y = -x = 1,33 = 1,3 = 4}; 0(x, y) = kx
3) (1.25 point) Find the center of mass of the lamina that occupies the region with...
3) (1.25 point) Find the center of mass of the lamina that occupies the region with the given density function. R = {y = 0, y = x = 1,= 4}; 8(x,y) = kx?
3) (1.25 point) Find the center of mass of the lamina that occupies the region R...
3) (1.25 point) Find the center of mass of the lamina that occupies the region R with the given density function. 4 R = {y = 0, y = x
3) (1.25 point) Find the center of mass of the lamina that occupies the region R...
3) (1.25 point) Find the center of mass of the lamina that occupies the region R with the given density function. R = {y = 0, y = -x = 1,x = 4}: 8(x,y) = kx?
6. Find the center of mass of the rectangular lamina with vertices (0,0), (6,0), (0, 24) and (6, 24) for the density p = kxy. 7. Find the area of the surface given by z =f(x,y) over the region R. f(x,y) = 3 – 2x + 5y R: square with vertices (0,0), (4,0),(4,4),(0,4)
1 Find the mass and center of mass of the lamina that occupies the region D and has the given density function ρ. ญา D is the triangular region with vertices (0, 0), (2, 1), (0, 3); function 2- Use polar coordinates to combine the sum 3- Find the volume of the solid that lies between the paraboloid zxy2 and the sphere x2 + y2+ z22.
1 Find the mass and center of mass of the lamina that occupies the...
Find the mass of the lamina that is the portion of the circular cylinder x? +3+ = 4 that lies directly above the rectangle R= {(x, y): 0 < x < 1,0 <y s4} in the xy-plane. Assume the lamina has a constant density of do. Enter the exact answer in terms of do. M= ? Edit
find the mass of the lamina that is the portion of the surface y = 4-z between the planes x = 0, x = 3, y = 0, and y = 3 if the density function is 15. p= y. Answer: 56.02
a. Find the center of mass for lamina defined by the interior of
the polar curve r=sin(3) with a density
that varies according to p(r,theta)=1/r
b. Find the volume of the cylinder inside the sphere
For part a I got a mass of 2 but not sure about the x bar and y
bar calculations.
For part b Im stuck on the z bounds for the integral when doing
the problem with the cylindrical coordinate method.
We were unable to...
Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given densityy=x³, y=0, x=2, ρ=kx
Find the center of mass of the lamina that occupies the region R with the given density function. R = {y = 0, y = -x = 1,33 = 1,3 = 4}; 0(x, y) = kx
3) (1.25 point) Find the center of mass of the lamina that occupies the region with the given density function. R = {y = 0, y = x = 1,= 4}; 8(x,y) = kx?
3) (1.25 point) Find the center of mass of the lamina that occupies the region R with the given density function. 4 R = {y = 0, y = x
3) (1.25 point) Find the center of mass of the lamina that occupies the region R with the given density function. R = {y = 0, y = -x = 1,x = 4}: 8(x,y) = kx?
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