Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given density. y = V 81- - x² 0≤ y ≤x P = k m = (x, y) = X

Q: 39. Let C be the curve of intersection between the cylinder x² + y²-1 and the plane z x. Find the…

A: Given that C be the curve of intersection between the cylinder x2+y2=1 and the plane z=x.We need to…

Q: take the fequan bunded by Hhe Seguen Curve fla).2+ Sinlx) the x atis 3R and X= Vz X:0 and fond the…

A: We will find out the required value.

Q: Evaluate / . F. dS Is where F = and the surface S is the triangle with vertices (1, 1, 0), (0, 2,…

A: Given To evaluate ∬SF.dS  where F=<x+1,-1-2y,z> and the surface S is the triangle with the…

Q: 2 A circular wire hoop of constant density 8 = 2 lies along the circle x² + y² = 8a² in the…

A: Given: The density of the circular wire hoop is δ=2, and it lies along the circle x2+y2=8a2 in the…

Q: An equation of the tangent plane to the parametrized surface at the point corresponding to u…

A: Given parametrized surface equation is

Q: Find all solutions to the equation below in the interval [0, 2π). Give all answers as decimals…

A:

Q: Find the Unit tangent, T, the principal unit normal N (la) r(t) = (In sec t) i+ tj, -7/2 < t < n/2…

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: If F(x, y, z) = z - f(x, y) and s is the graph of z = f(x, y) and (a, b,c) is a point on the surface…

A: