In a bathtub, the velocity of water near2 the drain is given by the vector field (22 +1)2222 + 1 ...
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...
Just question 6![ Just question 6! 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...
Question 1 Please In a bathtub, the velocity of water near2 the drain is given by the vector field k: cm/sec (22 +1)2(22 +1)222 +1 where x, 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: (22 +1)2'(22 +1)2 2+1 Consider cach of the threc terms in cquation (4). (Look at some plots.) For fixed z, what is the...
Question 9 Please! In a bathtub, the velocity of water near2 the drain is given by the vector field k: cm/sec (22 +1)2(22 +1)222 +1 where x, 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: (22 +1)2'(22 +1)2 2+1 Consider cach of the threc terms in cquation (4). (Look at some plots.) For fixed z, what is the...
Question 8 Please In a bathtub, the velocity of water near2 the drain is given by the vector field k: cm/sec (22 +1)2(22 +1)222 +1 where x, 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: (22 +1)2'(22 +1)2 2+1 Consider cach of the threc terms in cquation (4). (Look at some plots.) For fixed z, what is the...
Evaluate the surface integral | Fds 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. JJS F(x, y, z) = xi - z j + y k S is the part of the sphere x2 + y2 + z2 = 49 in the first octant, with orientation toward the origin
Evaluate the surface integral S 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) = x i − z j + y k S is the part of the sphere x2 + y2 + z2 = 36 in the first octant, with orientation toward the origin
Evaluate the surface integral ∫∫sF·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 - zj +yk S is the part of the sphere x2 + y2 + z2 = 16 in the first octant, with orientation toward the origin.
Evaluate the surface integral SSS 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 - zj + y k S is the part of the sphere x2 + y2 + z2 = 36 in the first octant, with orientation toward the origin.
(a) Set up a double integral for calculating the flux of the vector field F(x, y, z) = z2k through the upper hemisphere of the sphere x2 + y2 + z2 = 4, oriented away from the origin. If necessary, enter P as rho, 8 as theta, and o as phi. B D Flux IT do de А A= B= C = D= (b) Evaluate the integral. Flux = F.dĀ= SI S