Use the divergence theorem to find the outward flux(F n) dS of the given vector field...
Use the divergence theorem to find the outward flux F:n) ds of the given vector field F. JJS F = y2i + xz?j + (z 1)2k; D the region bounded by the cylinder x2 + y2 = 36 and the planes z = 1, z = 7 eBook
3. (5 points) Use the Divergence Theorem to find the outward flux of the vector field F(x, y, z) - 3ry? i + xe'j + 23k across the surface of the solid bounded by the cylinder y2 + z-1 and the planes z =-1 and x = 2. 3. (5 points) Use the Divergence Theorem to find the outward flux of the vector field F(x, y, z) - 3ry? i + xe'j + 23k across the surface of the solid...
to Problem #4: Use the divergence theorem find the outward flux SfFn Fºnds of the vector field F = cos(2y + 3z)i + 10 ln(x2 + 2z)j + 3z2 k, where S is the surface of the region bounded within by the graphs of z = V25 – x2 - y2 , x2 + y2 = 9, and z = 0. + Problem #4: Enter your answer symbolically, as in these examples
10. Use the Divergence Theorem to compute the net outward flux of the vector field F= <x^2, -y^2, z^2> across the boundary of the region D, where D is the region in the first octant between the planes z= 9-x-y and z= 6-x-y. The net outward flux is __. 11. Decide which integral of the Divergence Theorem to use and compute the outward flux of the vector field F= <-7yz,2,-9xy> across the surface S, where S is the boundary of...
Problem #4: F.ndS Use the divergence theorem find the outward flux of the field to vector e+7 cosxj +y? and x2 + y2 V 49 an (3y + 8z) i 2 2 k, where S is the surface of the region bounded by the F graphs of z Vx V + symbolically, Enter your answer (sqrt(2)-1)*(686/3*pi) as in these examples Problem #4 686 JT 3 Submit Problem # 4 for Grading Just Save Attempt #3 Problem #4 Attempt #1 Attempt...
Problem #4: Use the divergence theorem find the outward flux F na of the field vector to S e+ 6 cos.xj V? +y? +z? and 2+2+2- (8y + 10:)i k, where S is the surface of the region bounded by the F=tan + e graphs of z =9. Enter your answer symbolically, Problem #4: as in these examples Just Save Submit Problem # 4 for Grading Attempt #1 Attempt #2 Attempt #3 Attempt # 4 Attempt #5 Problem #4 Your...
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...
Use the divergence theorem to find the outward flux of F across the boundary of the region D. F=3./x2 + y2 + 2? (xi + yj + zk) D: The region 35x2 + y2 +z+s4 The outward flux is- (Type an exact answer, using a as needed.)
Evaluate the surface integralF 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. S is the boundary of the region enclosed by the cylinder x2 + z2-1 and the planes y O and x y 3 Evaluate the surface integralF F ds for the given vector field F and the oriented surface S. In other words, find the...
vector Problem #5: Use the divergence theorem to find the outward fly SfF:nds of the field F = tan-1(10y + 3z) i + e sxj + 1x2 + y2 + z2 k, where S is the surface of the region bounded by the graphs of z = Vx2 + y2 and x2 + y2 + z2 = 49. ,z2 + 3 cos x + Problem #5: Enter your answer symbolically, as in these examples