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Question 12 10 pts (10) Evaluate fc F.d7, where F =< y- cosy, asiny > and...
(b) Evaluatex + 2y ds where C is the portion of quarter-circle centered at the origin...
(b) Evaluatex + 2y ds where C is the portion of quarter-circle centered at the origin with the clockwise rotation from (-3,0) to (0,3) which in turn is followed by the line segment from 0,3) to (6,2). (10 marks) (c) Let F = (2x2y, ya), a closed curve C and let D be the region enclosed by the curve. The region R is in the first quadrant bounded by the r-axis, the line x = 1 and the curve y...
Question 1 (10 points). Determine the absolute minimum and maximum values of the function f(x, y)...
Question 1 (10 points). Determine the absolute minimum and maximum values of the function f(x, y) = 2x2 – 2xy + y2 – 2y +7 on the closed triangular region with vertices (0,0), (3,0), and (0,3). Be sure to show all calculations.
6. Compute JF . T ds where F (-y,z) and (a) C is the line segment from (1,0) to (0,0) followed by...
Please help solve the following question with steps. Thank
you!
6. Compute JF . T ds where F (-y,z) and (a) C is the line segment from (1,0) to (0,0) followed by the line segment from (0,0) to (0, 1) (b) C is the line segment from (1,0) to (0, 1) (c) C is the part of the unit circle in the first quadrant, moving from
6. Compute JF . T ds where F (-y,z) and (a) C is the...
1. (2 points) Find F dF if curl(F) 3 in the region defined by the 4 curves and C4 Ci F . d7 where F(x,y,z)-Wi +pz? + Vi> and C consists of the arc of the 2. (2 points) Evaluate curve y = sin(...
1. (2 points) Find F dF if curl(F) 3 in the region defined by the 4 curves and C4 Ci F . d7 where F(x,y,z)-Wi +pz? + Vi> and C consists of the arc of the 2. (2 points) Evaluate curve y = sin(x) from (0,0) to (π, 0) and the line segment from (π,0) to (0,0). 4 3 3. (2 points) Evaluate F di where F.y,(ry, 2:,3) and C is the curve of intersection of 5 and y29. going...
Evaluate the line integral. fr de x² dx + y²dy, where C is the arc of...
Evaluate the line integral. fr de x² dx + y²dy, where C is the arc of the circle x2 + y2 = 4 from (2,0) to (0,2) followed by the line segment from (0, 2) to (4,3).
2. Evaluate the line integral where C is the given curve: BE SURE THAT YOU PARAMETERIZE EACH CURV...
please be clear as possible. thanks
2. Evaluate the line integral where C is the given curve: BE SURE THAT YOU PARAMETERIZE EACH CURVE! (a) e dr where C is the are of the curve r y' from (-1,-1) to (1, 1): (b) dr dy where C conusists of the arc of the circle 2+ 4 from (2.0) to (0.2) followed by the line segment from (0.2) to (4,3) (c) y': ds where C is the line segment from (3,...
7. Use Green's Theorem to find Jc F.nds, where C is the boundary of the region bounded by y = 4-x2 and y = 0, oriented counter-clockwise and F(x,y) = (y,-3z). what about if F(r, y) (2,3)? x2...
7. Use Green's Theorem to find Jc F.nds, where C is the boundary of the region bounded by y = 4-x2 and y = 0, oriented counter-clockwise and F(x,y) = (y,-3z). what about if F(r, y) (2,3)? x2 + y2 that lies inside x2 + y2-1. Find the surface area of this 8. Consider the part of z surface. 9. Use Green's Theorem to find Find J F Tds, where F(x, y) (ry,e"), and C consists of the line segment...
Evaluate line integral ( F. dr where C is any positively oriented simple closed curve that...
Evaluate line integral ( F. dr where C is any positively oriented simple closed curve that encloses the origin by using a circle of radius r, and r is small enough so that the circle lies entirely inside C given F(x, y) = ? 1)_ 2xyi +(y2 – xº)j Ans (x² + y²)
In each of the following exercises, you are given a force field F = F(x, y),...
In each of the following exercises, you are given a force field F = F(x, y), in Newtons, and a oriented, closed curve C in the xy-plane, where x and y are in meters. Use Green's Theorem to calculate the work done by F along C. 9. F(x, y) = (2,5 – yº, x3 – y5), and C is the curve which starts at (0,0), moves along a line segment to (1/V2,1/V2), moves counterclockwise along the circle of radius 1,...
ScF.dr, where F = 2cevi+reyj and C consists of the curve of y = r² from...
ScF.dr, where F = 2cevi+reyj and C consists of the curve of y = r² from (0,0) to (1,1) followed by the line segment from (1, 1) to (3,2).
(b) Evaluatex + 2y ds where C is the portion of quarter-circle centered at the origin with the clockwise rotation from (-3,0) to (0,3) which in turn is followed by the line segment from 0,3) to (6,2). (10 marks) (c) Let F = (2x2y, ya), a closed curve C and let D be the region enclosed by the curve. The region R is in the first quadrant bounded by the r-axis, the line x = 1 and the curve y...
Question 1 (10 points). Determine the absolute minimum and maximum values of the function f(x, y) = 2x2 – 2xy + y2 – 2y +7 on the closed triangular region with vertices (0,0), (3,0), and (0,3). Be sure to show all calculations.
Please help solve the following question with steps. Thank
you!
6. Compute JF . T ds where F (-y,z) and (a) C is the line segment from (1,0) to (0,0) followed by the line segment from (0,0) to (0, 1) (b) C is the line segment from (1,0) to (0, 1) (c) C is the part of the unit circle in the first quadrant, moving from
6. Compute JF . T ds where F (-y,z) and (a) C is the...
1. (2 points) Find F dF if curl(F) 3 in the region defined by the 4 curves and C4 Ci F . d7 where F(x,y,z)-Wi +pz? + Vi> and C consists of the arc of the 2. (2 points) Evaluate curve y = sin(x) from (0,0) to (π, 0) and the line segment from (π,0) to (0,0). 4 3 3. (2 points) Evaluate F di where F.y,(ry, 2:,3) and C is the curve of intersection of 5 and y29. going...
Evaluate the line integral. fr de x² dx + y²dy, where C is the arc of the circle x2 + y2 = 4 from (2,0) to (0,2) followed by the line segment from (0, 2) to (4,3).
please be clear as possible. thanks
2. Evaluate the line integral where C is the given curve: BE SURE THAT YOU PARAMETERIZE EACH CURVE! (a) e dr where C is the are of the curve r y' from (-1,-1) to (1, 1): (b) dr dy where C conusists of the arc of the circle 2+ 4 from (2.0) to (0.2) followed by the line segment from (0.2) to (4,3) (c) y': ds where C is the line segment from (3,...
7. Use Green's Theorem to find Jc F.nds, where C is the boundary of the region bounded by y = 4-x2 and y = 0, oriented counter-clockwise and F(x,y) = (y,-3z). what about if F(r, y) (2,3)? x2 + y2 that lies inside x2 + y2-1. Find the surface area of this 8. Consider the part of z surface. 9. Use Green's Theorem to find Find J F Tds, where F(x, y) (ry,e"), and C consists of the line segment...
Evaluate line integral ( F. dr where C is any positively oriented simple closed curve that encloses the origin by using a circle of radius r, and r is small enough so that the circle lies entirely inside C given F(x, y) = ? 1)_ 2xyi +(y2 – xº)j Ans (x² + y²)
In each of the following exercises, you are given a force field F = F(x, y), in Newtons, and a oriented, closed curve C in the xy-plane, where x and y are in meters. Use Green's Theorem to calculate the work done by F along C. 9. F(x, y) = (2,5 – yº, x3 – y5), and C is the curve which starts at (0,0), moves along a line segment to (1/V2,1/V2), moves counterclockwise along the circle of radius 1,...
ScF.dr, where F = 2cevi+reyj and C consists of the curve of y = r² from (0,0) to (1,1) followed by the line segment from (1, 1) to (3,2).
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