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Question 10 (2 marks) Attempt 1 Use Green's theorem in the plane to evaluate '(17cy-3x)d3sy2 dy K anti-clockwis...
Question 10 (2 marks) Attempt 1 Use Green's theorem in the plane to evaluate anti-clockwise around the closed path C given by the curves: 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 OR rounded to 10.13906 OR 3*Pi+5/7 KSkipped Question 10 (2 marks) Attempt 1 Use Green's theorem in the plane to evaluate anti-clockwise around...
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....
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...
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...
Apply Green's Theorem to evaluate the integral. froy 1 + x)dx + (y + 3x)dy C: The circle (x - 7)2 + (y – 5)2 = 5 с froy + x)dx + (y + 3x)dy = с Tyne an eyact answer using as needed
4.Use Green's Theorem to evaluate the line integral. ∫C 2xydx + (x + y)dy C: boundary of the region lying between the graphs of y = 0 and y = 1 - x2_______ 5.Use Green's Theorem to evaluate the line integral. ∫C ex cos(2y) dx - 2ex sin(2y) dy C: x2 + y2 = a2 _______
1. Use Green's theorem to evaluate the integral $ xy dx - x^2 y^3 dy, where C is the triangle with vertices (0,0), (1,0) y (1,2)
Problem #3: Use Green's Theorem to evaluate the following integral er dx + (3x + 9) dy Where C is the triangle with vertices (0,0), (12,0), and (6,8) (in the positive direction).
please answer all 3 questions, I need help. thank you Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise. $(9x+ ex) dy- (4y + sinh x) dx, where C is the boundary of the square with vertices (2, 0), (5, 0), (5, 3), and (2, 3). $(9x+ ey?) ay- (4y+ + sinhx) dx = 0 (Type an exact answer.) Use Green's Theorem to evaluate the following line integral. i dy - g dx, where (19)...
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