Use Green's theorem in the plane to evaluate 4 K= anti-clockwise around the closed path C given by the curves: x-0,...
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....
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...
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...
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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...
Use Green's Theorem to calculate the work done by the force F on a particle that is moving counterclockwise around the closed path C. F(x, y) = (3x2+y)i + 3xy2jC: boundary of the region lying between the graphs of y = √x. y = 0, and x = 1
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2. Use Green's Theorem to evaluate ScF.Tds, where C is the the circle of center (0,0) and radius 2 in the xy plane, oriented counter-clockwise, and F(x, y) = (x3, x). (Please give a numerical answer here. The integral is very easy.)
10. Use Green's Theorem to evaluate the line integral along the positively oriented closed curve C in the xy-plane. $ 5xydx +4xdy , where C is the triangle with vertices (0,0), (5,4), and (0, 4).
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 _______
3. Use the curl test to show that F(x,y)- (x2yi+(y)j is path dependent. 4. Use Green's Theorem to evaluate the line integral , (2x-y)dx-r3)dy where C is the boundary of the region between y = 2x and y-x2 oriented in the positive direction
3. Use the curl test to show that F(x,y)- (x2yi+(y)j is path dependent. 4. Use Green's Theorem to evaluate the line integral , (2x-y)dx-r3)dy where C is the boundary of the region between y = 2x and...
Use Green's theorem to evaluate the line integral S. (sin(22) – 5y) dx + (72 – y cos y) dy, where C is the the counter clockwise oriented closed curve consisting of the upper half of the circle (x – 5)2 + (y – 4)2 = 9 and the line segment between (2, 4) and (8,4).