5. 0/12 points I Previous Answers My Use F- 14r to answer the questions below. (a) S, is the part...
4/5 points | Previous Answers 4 Let F yi5j - xzk. S is the part of the surface y x2 + z for 0 s y s 4, oriented n the positive y direction Find dA -2xi + j - 2zk dz . Set up the iterated integral for flux. Simplify your integrand. 2 2 - 2 sin(t)cos())r |(-2Asin()+ +5+ X - 0 Submit Answer Save Progress 4/5 points | Previous Answers 4 Let F yi5j - xzk. S is...
Let F 9xi + yj + zk . S is the part of the surface z = -4x - 2y + 12 in the first octant oriented upward. ey 4,2,1 Find dA X * хр / Set up the iterated integral for flux 3 6 2x F.dA dy dx Let F 9xi + yj + zk . S is the part of the surface z = -4x - 2y + 12 in the first octant oriented upward. ey 4,2,1 Find...
Evaluate the surface integral F dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For dlosed surfaces, use the positive (outward) orientation F(x, y, 2) _ yj-zk, sconsists ofthe paraboloid γ_x2 +22, O sys1, and the disk x2 +22 s 1.7-1. Need Help? to Tter Evaluate the surface integral F dS for the given vector field F and the oriented surface S. In other words, find the...
8. -12 points Let S be the closed surface y = V25-x2-22 , 0 5 oriented outward. y → F = 5z2i-6(y-7) + 7x3k (a) Find the flux of out of s. Flux = (b) Using part (a), find the flux through the curved surface y-V25 x2-z2, oriented in the positive y direction Flux = Submit Answer Save Progress 8. -12 points Let S be the closed surface y = V25-x2-22 , 0 5 oriented outward. y → F =...
(1 point) Set up a double integral for calculating the flux of F -4xi + yj + zk through the part of the surface z =-2x-4y + 4 above the triangle in the xy-plane with vertices (0,0), (0,4), and (2,0), oriented upward. Instructions: Please enter the integrand in the first answer box. Depending on the order of integration you choose, enter dx and dy in either order into the second and third answer boxes with only one dx or dy...
(a3, y3,4z3). Let Si be the disk in the 12. Consider the vector field in space given by F(x, y, z) xy-plan described by x2 + y2 < 4, z = 0; and let S2 be the upper half of the paraboloid given by z 4 y2, z 2 0. Both Si and S2 are oriented upwards. Let E be the solid region enclosed by S1 and S2 (a) Evaluate the flux integral FdS (b) Calculate div F div F...
Evaluate the surface integral F dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) -xi yj+3 k S is the boundary of the region enclosed by the cylinder x2 + z2-1 and the planes y 0 and x y 2 Evaluate the surface integral F dS for the given vector field F and the oriented surface...
Please show all steps, even the steps that seem like common sense. 0/3 POINTS PREVIOUS ANSWERS SCALCET8 16.7.031. 7/20 Submissions Used Evaluate the surface integral // F.ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. Is F(x, y, z) = x2 i + y2 j + z2k S is the boundary of the solid half-cylinder o SzSV 9-y2,0 SX...
F·dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) Evaluate the surface integral orientation. F(x, y, z) -x2i +y^j+z2 k S is the boundary of the solid half-cylinder 0szs V 25 -y2, 0 sxs2 Need HelpRead It Watch Talk to a Tutor F·dS for the given vector field F and the oriented surface S. In other words, find the flux...
Just question 5 Only question 5 In a bathtub, the velocity of water near2 the drain is given by the vector field (22 +1)2222 + 1 where r, y, and z are measured in centimeters and (0, 0,0) is at the center of the drain. 1. Rewriting F as follows, describe in words how the water is moving: Consider each of the three terms in equation (4). (Look at some plots.) For fixed z, what is the flow like? How...