Answered step by step
Verified Expert Solution
Question
1 Approved Answer
1. [-/0.5 Points] DETAILS MY NOTES PRACTICE ANOTHER Evaluate the surface integral. (x + y + z) ds, S is the parallelogram with parametric equations
1. [-/0.5 Points] DETAILS MY NOTES PRACTICE ANOTHER Evaluate the surface integral. (x + y + z) ds, S is the parallelogram with parametric equations x = u + v, y = u - V, Z= 1+ 2u + v, Osus 3, OS VS 2. Need Help? Read It Watch It Submit Answer 2. [-/0.5 Points] DETAILS MY NOTES PRACTICE ANOTHER Evaluate the surface integral. 1/5 ( x22 + 42 2) as S is the hemisphere x2 + y2 + z2 = 4, z 2 0 Need Help? Read It Watch It3. [-/0.5 Points] DETAILS MY NOTES Evaluate the surface integral . d's 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) = yj - zk, S consists of the paraboloid y = x2 + z2, 0 s y S 1, and the disk x2 + z2 s 1, y = 1. Need Help? Read It Watch It Submit Answer 4. [-/0.5 Points] DETAILS MY NOTES PRACTICE ANOTHER Evaluate the surface integral . as 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 = 49 in the first octant, with orientation toward the origin Need Help? Read It Watch It Submit AnswerVerify that the Divergence Theorem is true for the vector field F on the region E. Give the flux. F(x, y, z) = x2i + xyj + zk, E is the solid bounded by the paraboloid z = 25 - x2 - y and the xy-plane. Need Help? Read It Need Help?Use the Divergence Theorem to calculate the surface integral ff F - dS; that is, calculate the flux of F across S. s F(x, y, z) = 3xy2i + xezj + 23k, Sis the surface of the solid bounded by the cylinder y2 + z2 = 9 and the planes x = 3 and X = 1. Z Need Help
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started