Find the mass of the lamina that is the portion of the paraboloid 2z = x²...
Chapter 15, Section 15.5, Go Tutorial Problem 028 Find the mass of the lamina that is the portion of the paraboloid 2z = x2 + y2 inside the cylinder x2 + y2 = 3 with constant density 80. Mass = ? Edit
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
solve question #1 m=1 solve for center mass plz 1. Find the center of mass for lamina defined by the interior of the polar curve 1 r sin 30 with density that varies according to p(r,e) 2. Find the volume of the cylinder -fx-1)2 + y2 inside the sphere 1. Find the center of mass for lamina defined by the interior of the polar curve 1 r sin 30 with density that varies according to p(r,e) 2. Find the volume...
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 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
multivarbile calc Evaluate ff xy, dơ where s is the portion of the paraboloid 2z-4-xr_y, within 2. 3. Find the flux dơ of the vector field F(x,y,z)-(x2y2z)k across the surface of the cone z - x+y* between -0 andz 4, in the downward direction. Evaluate ff xy, dơ where s is the portion of the paraboloid 2z-4-xr_y, within 2. 3. Find the flux dơ of the vector field F(x,y,z)-(x2y2z)k across the surface of the cone z - x+y* between -0...
2. Find the surface area of the portion of the paraboloid z = /16-x? - y2 that lies between the cylinders x² + y2 =1 and x² + y2 =4. (you may use fnint as needed)
please answer 5-7 in detail 5. Find the center of mass of the rectangular lamina with vertices (0.0), (21.0). (0.12), and (21. 12) for the density p = kxy. Ans: 6. Find the mass of the triangular lamina with vertices (0, 0), (12, 24), and (24,0) for the density p = kxy. Ans: 7. Find the area of the portion of the of the surface z = 4x + 8y that lies above the region R = {(x, y): x...
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...
For the lamina that occupies the region D bounded by the curves x = y2 – 2 and x = 2y + 6, and has a density function: p(x, y) = y + 4, find: a) the mass of the lamina; b) the moments of the lamina about x-axis and y-axis; c) the coordinates of the center of mass of the lamina.