PLEASE SHOW AND EXPLAIN ALL STEPS FOR ALL 3 PARTS......I'M LOST......THANKS SO MUCH!!
PLEASE SHOW AND EXPLAIN ALL STEPS FOR ALL 3 PARTS......I'M LOST......THANKS SO MUCH!! r 1 Given...
xi+ yj + zk 3. Given the vector field in space F(x, y, z) = or more conveniently, (.x2 + y2 + 22)3/2 1 Fr) where r = xi + yj + zk and r= ||1|| = x2 + y2 + x2 (instead of p) 73 r (a) [10 pts) Find the divergence of F, that is, V.F. (b) (10 pts] Directly evaluate the surface integral [/F F.Nds where S is the unit sphere 22 + y2 + z2 1...
zi+yj + zk 3. Given the vector field in space F(x, y, z) or more conveniently, (x2 + y2 + 22)3/2 f where r = ci + yj + zk and r= |||| = V2 + y2 + z2 (instead of p) 1 F(r) = r2 (a) [10 pts] Find the divergence of F, that is, V.F. (b) (10 pts] Directly evaluate the surface integral lle F.NDS where S is the unit sphere x2 + y2 + z2 = 1...
good evening. i need help with this calculus question. i will thumbs up your answer. or more conveniently, Given the vector field in space F(x, y, z) = ri+yj + zk (x2 + y2 + 22)3/2 F(r) where r = ri+yj + zk and r= ||1|| = r3 r 22 + y2 + 22 (instead of p) (a) [10 pts] Find the divergence of F, that is, V.F. (b) [10 pts] Directly evaluate the surface integral F. NdS where S...
good evening. i need help with this calculus question. i will thumbs up your answer. or more conveniently, Given the vector field in space F(x, y, z) = ri+yj + zk (x2 + y2 + 22)3/2 F(r) where r = ri+yj + zk and r= ||1|| = r3 r 22 + y2 + 22 (instead of p) (a) [10 pts] Find the divergence of F, that is, V.F. (b) [10 pts] Directly evaluate the surface integral F. NdS where S...
Let V be the solid sphere of radius a centred at the origin. Let S be the surface of V oriented with outward unit normal. Consider the vector field F(x, y, z) (xi + yj + zk) (x2 + y2 + z2)3/2 (a) Evaluate the flux integral Sle F:ñ ds by direct calculation. (b) Evaluate SIL, VF DV by direct calculation. (c) Compare your answers to parts (a) and (b) and explain why Gauss' theorem does not apply.
#4 please 3. (12 pts). (a) (8 pts) Directly compute the flux Ф of the vector field F-(x + y)1+ yj + zk over the closed surface S given by z 36-x2-y2 and z - 0. Keep in mind that N is the outward normal to the surface. Do not use the Divergence Theorem. Hint: Don't forget the bottom! (b) (4 pts) Sketch the surface. ts). Use the Divergence Theorem to compute the flux Ф of Problem 3. Hint: The...
ssignment Submission For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you sut ssignment Scoring Your last submission is used for your score. 0/3 points | Previous Answers SCalcCC4 13.8.014 Use the Divergence Theorem to calculate the surface integral frs F·ds, that is, calculate the n 1. F r/Irl, where r xi yj+zk S consists of the hemisphere V 81- 2 and the disk x2+y2 S 81 in...
Q1. Evaluate the line integral f (x2 + y2)dx + 2xydy by two methods a) directly, b) using Green's Theorem, where C consists of the arc of the parabola y = x2 from (0,0) to (2,4) and the line segments from (2,4) to (0,4) and from (0,4) to (0,0). [Answer: 0] Q2. Use Green's Theorem to evaluate the line integral $. F. dr or the work done by the force field F(x, y) = (3y - 4x)i +(4x - y)j...
Q) Hi, Can you please answer the question using clear detailed steps and definitions so I can better understand it? Thank you so much! :) (1 point) Use the divergence theorem to calculate the flux of the vector field F(x, y, z) = xi + y’j + zk out of the closed, outward- oriented surface S bounding the solid x2 + y2 < 25, 0 <236. FdA=
Help. Cant figure this one out. I keep messing up somewhere. please sent full steps. THANKS IN ADVANCE. I will thumbs up! 13. For the vector field F(x, y, z) = (xy + yºz)i + (y2 + x2 +e+2) 3 + (zz - sin(xy) + y2), compute the divergence of Ě, i.e. compute div = 7. F. Then, using the divergence theorem, compute the surface integral (fux across S) ST. P. 25, where S is the outward- oriented, closed surface...