3. Compute the flux of the fluid velocity field Q=<xy, y> on the boundary of the...
(1 point) Find the flux through through the boundary of the rectangle 0 < x < 4,0 < y < 4 for fluid flowing along the vector field (x3 + 4, y cos(5x)). Flux =
Calculate the flux of the vector field out of the ball x² + y² =²<4 if vfx, y, z) = (y2); +(2+yJj+ft+422)z a) none 6) 128 T 8160 d) 32T e) 647
(8) The Divergence Theorem for Flux in Space F(x, y, z) =< P, Q, R >=< xz, yz, 222 > S: Bounded by z = 4 – x² - y2 and z = 0 Flux =S} F înds S (8a) Find the Flux of the vector field F through this closed surface. (8) The Divergence Theorem for Flux in Space F(x,y,z) =< P,Q,R >=< xz, yz, 222 > S: Bounded by z = 4 – x2 - y2 and z...
1. Suppose a gas has the velocity field v(x,y,z) = xi + zj + yk. Find the circulation along the helix r(t) - <cos(t), sin(t), > for Osts. [10]
Question 3 1 pts Let 7 = (xy, - xy) and let D be given by 0 < x <1, 0<y<1. Compute Sap Ē. dr. 0-1 OO O1 O2
3) Define the relation <on R via x < y if and only if xy < 10. Show that is symmetric. (20 points)
9) Find the flux of the field =< 3x, -y, -z > through the surface of the box in the first octant bounded by the coordinate axis and the planes x = 1, y = 2, z = 3
3. Find the length of the curve y = y=for 0 < x < 2.
Let F(x,y,z) = <7x, 5y, 2z > be a vector field. Find the flux of F through surface S. Surface S is that portion of 3x + 5y + 72 = 9 in the first octant. Answer: Finish attempt
Is the below statement True or False? The vector field F(x,y) =<xy?, x?y) is conservative. True False