Question 10 (2 marks) Attempt 1 Use Green's theorem in the plane to evaluate anti-clockwise around the closed path...
Question 10 (2 marks) Attempt 1 Use Green's theorem in the plane to evaluate '(17cy-3x)d3sy2 dy K anti-clockwise around the closed path C given by the curves: y=0, 1 sxs 3, r 3, 0 s0 s T, y 0, -3 sxs-1, r 1, TT2 0 2 0. Evaluate the line integral as a double integral using polar coordinates. Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression For example: 10.13906368...
Use Green's theorem in the plane to evaluate 4 K= anti-clockwise around the closed path C given by the curves: x-0, -1 2 y 2 -2 r 2, -TT/2 <0< T/2, x = 0, 2 2 yz 1, r= 1, TT/2 2 0 2 -T/2 Evaluate the line integral ass a double integral using polar coordinates. Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded...
Use Green's theorem in the plane to evaluate - tv3-ry)ds+(}p2_89+12y4) dy K= anti-clockwise around the closed path C given by the curves: x 0, -1 2 y -2 r = 2, -TT/2 < 0 < T/2. x = 0, 2 2 yz 1, r 1, TT/2 2 0 2 -TT/2 Evaluate the line integral as a double integral using polar coordinates. Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression....
Please help me with these questions, show working. thank you I-(8z2+3e3rcos(5y) i-( 5e3rsin(5y)) j+16xz k The vector field I is conservative, find a scalar potential function f(x.y,z) such that I grad f and f(0,0,0) 1 Your answer should be expressed using the correct Maple syntax; for example, it might be: 2*x^2"y+5*z*exp(-9*y) cos(4*z) Do not use decimal approximations all numbers must be correct Maple expressions. The scalar potential is f(x,y,z) Skipped Change the order of integration and evaluate the following double...
Question 11 (2 marks) Attempt 1 s is the half cylinder 2+y2 16, y20, 0Sz1 Given the vector field z-223), Calculate the outward flux (away from the z-axis) of E through surface S. That is find Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3 Pi+5/7 Question 11 (2 marks) Attempt 1 s is the half cylinder 2+y2 16, y20, 0Sz1...
Question 11 (2 marks) Attempt 1 S is the surface X-6 (y2+22) obtained by rotating the function x-6y2 about the x-axis for TE 0,6 0,6 Given the vector field: Calculate the outward flux of E through surface S. That is find Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 J Skipped Question 11 (2 marks) Attempt 1 S is the...
Question 11 (2 marks) Attempt 2 rE[0,4] S is the surface2-16(y2+z2), DE[0,4]Obtained by rotating the function =4y about the x-axis for Given the vector field: E =(11y2-82)i+(132+12y) j+(12z-13y), Calculate the outward flux of E through surface S. That is find EdS S Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 J = Question 11 (2 marks) Attempt 2 rE[0,4] S...
Question 11 (2 marks) Attempt 7 yE[0,3 S is the surfaceu= : 3(r2+22), yE [0,3] obtained by rotating the function,= 3.2 about the y-axis for Given the vector field: E(4+3y)i+6y-3y2)j+4zk, Calculate the outward flux of E through surface S. That is find E dS Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 Question 11 (2 marks) Attempt 7 yE[0,3 S...
Question 11 (2 marks) Attempt 3 Sis the surface 2 =16(r2+z2), y E[0,4]| obtained by rotating the function y= 4x about the y-axis for yE[0,4]. Given the vector field: E=(24z+6x)i+(-5y3+14yz)j+(6z-24x)k, Calculate the outward flux of E through surface S. That is find EdS J = S Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 JE Skipped Question 11 (2 marks)...
Question Question 11 (2 marks) Attempt 1 S is the half cylinder (2+y2 =9, y>0, 0<x<2 Given the vector field: E=(43c+6y2)2+(622+62) 3+(8x22-523)k, Calculate the outward flux (away from the z-axis) of Ethrough surface S. That is find J= Eds Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 J = Skipped