
z=e37.cos(4), Ir-st, y=215+t az/az= az/ay= M Dz/as= M dy/as = M Oz/dt = M Dy/at =...
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Help Entering Answers (1 point) Evaluate the surtace integral- (zx2 +zy) ds. Where S is the hemisphere 2 +^ +2-1, z20 The hemisphere can be parametrized by r(s,1)-〈 sin(s) cos(t), | sin(s)sin(t) H cos(s) , ds di where 1-0 t2= 2pi Evaluate If you don't get this in 3 tries, you can see a similar example (online). However, try to use this as a last resort or after you...
MM M MM Help Entering Answers (1 point) Express the volume encloded by the torus p = 3 sin i as a triple integral. NOTE: When typing your answers use "rh" for p, "ph" for , and "th for 0 Volume E dp dp do P JJ3 P= P2= 02 M Evaluate the integral Volume Σ If you don't get this in 3 tries, you can see a similar example (online). However, try to use this as a last resort...
M MMM M M M CUurse Aelp Hw24-15.9-Triple-Integrals-in-Spherical-Coordinates: Problem 6 Problem Value: 1 point(s). Problem Score: 75%. Attempts Remaining: 20 attempts. Help Entering Answers (1 point) Express the the average distance from a point in a ball of radius 2 to its center as a triple integral. NOTE: When typing your answers use "rh for p. "ph" for , and "th for 0. P Average Distance E dp dd de J33- PI=0 P2=2 0 2 pi Σ 0 Σ 2pi...
Hw32-16.7-Surface-Integrals: Problem 1 Problem Value: 1 point(s). Problem Score: 67%. Attempts Remaining: 22 attempts. Help Entering Answers (1 point) Evaluate the surface integral 4xyz ds. Where S is the cone with parametric equations x = u cos(u), y = u sin(u), z = u and 0 <u< 4,0 4xyz ds = [” [“ aunscos()+sin(Sqrt2un2cos^2 I du du Jui Jui where 4 мммм = 3pi/2 Evaluate 4xyz ds = JJ s If you don't get this in 3 tries, you can...
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F = yzi - yj + xk and the surface S the part of the paraboloid z= 4 a2 ythat lies above the plane z = 3, oriented upwards. curl FdS To verify Stokes' Theorem we will compute the expression on each side. First compute S curl F = Σ <0,y-1,-z> curl F.dS Σ dy dπ (y-1)-2y)+z where 3 -sqrt(9-x^2) Σ 3 sqrt(9-x^2) curl F...
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