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1. Compute dr + (1²y3) dy where C is the curve below. (Hint: try using Green's...
Se Green's theorem in order to compute the line integral ∮C(ex2−y3)dx+(sin(y3)+x4)dy∮C(ex2−y3)dx+...
se Green's theorem in order to compute the line integral ∮C(ex2−y3)dx+(sin(y3)+x4)dy∮C(ex2−y3)dx+(sin(y3)+x4)dy where CC is the boundary of the square [0,1]×[0,1][0,1]×[0,1] traversed in the counterclockwise way.
A. Fundamental theorem of line integrals B. Green's Theorem c. Parameterize the curve and compute the...
A. Fundamental theorem of line integrals
B. Green's Theorem
c. Parameterize the curve and compute the line integral
long-hand
D. none of the above, problem cannot be solved
Consider the line integral (el + cos x + y) dx + +yey + dy where C is the curve pictured below. 2 (-1,-3) (3,-4) Identify the best approach to doing this problem:
Let R be the region shown above bounded by the curve C = C1[C2. C1 is a semicircle with center at...
Let R be the region shown above bounded by the curve C = C1[C2.
C1 is a semicircle with center
at the origin O and radius 9
5 . C2 is part of an ellipse with center at (4; 0), horizontal
semi-axis
a = 5 and vertical semi-axis b = 3.
Thanks a lot for your help:)
1. Let R be the region shown above bounded by the curve C - C1 UC2. C1 is a semicircle with centre at...
Let A be the inside and boundary of the triangle in R2 whose vertices are (0,0), (1,0) and (0,1). Let C be the curve obtained by proceeding around the boundary of A in an anti- clockwise direction. P...
Let A be the inside and boundary of the triangle in R2 whose vertices are (0,0), (1,0) and (0,1). Let C be the curve obtained by proceeding around the boundary of A in an anti- clockwise direction. Prove İ}!").lx (ly İ)(2 dr dy. Pdr+Qdy That is, prove Green's Theorem for the triangle A. [Hint: the lecture notes have a proof for when A is a rectangle. So, the idea is is to give a similar proof where we have this...
14. Use Green's theorem to evaluate the line integral Sc 2xy3dx + 4x2y2 dy where Cis...
14. Use Green's theorem to evaluate the line integral Sc 2xy3dx + 4x2y2 dy where Cis the boundary of the triangular" region in the first quadrant enclosed by the x-axis, the line x-1, and the curve y=x3.
Evaluating using Green's theorem (4x^3+sin(y^2))dy-(4y^3+cos(x^2))dx where C is the boundary of the region x^2+y^24 Please be...
Evaluating using Green's theorem
(4x^3+sin(y^2))dy-(4y^3+cos(x^2))dx where C is the boundary of the
region x^2+y^24
Please be detail thanks.
We were unable to transcribe this image3. EVALUATE USING GREEN'S THEOREM (4x++sinyydy –(4y+cosx2) dx, WHERE C IS THE BOUNDARY OF THE REGION X+Y24.
Evaluate the following integrals using Green's theorem. 8. S. (2y2 + xsin(x)dx + (x3 - evy)dy...
Evaluate the following integrals using Green's theorem. 8. S. (2y2 + xsin(x)dx + (x3 - evy)dy where c is the rectangle in R2 with vertices at (1,0), (2,0), (2,2) and (1,2) oriented counterclockwise.
evaluate using green's theorem line integral (4x^3+sin y^2)dy-(4y^3+cosx^2)dx, where C is the boundary of the region...
evaluate using green's theorem line integral (4x^3+sin y^2)dy-(4y^3+cosx^2)dx, where C is the boundary of the region x^2+y^2 greater equal to 4
2. Use Green's theorem in order to compute the line integral $ (x - 1)3 dy...
2. Use Green's theorem in order to compute the line integral $ (x - 1)3 dy - (y-2): d.x where C is the circle of radius 3 centered at (1, 2) and traversed in the counterclockwise way.
13. Use Green's Theorema to evaluate S (1+tan y)dx+(+ev)dy where C is the positively oriented boundary...
13. Use Green's Theorema to evaluate S (1+tan y)dx+(+ev)dy where C is the positively oriented boundary of the region enclosed by y=, x= n/6 and y=0. (A) -2- 1 (B) 2 - 1 (C) 2+ 2 (D) 2 - 7 (E) none of these
A. Fundamental theorem of line integrals
B. Green's Theorem
c. Parameterize the curve and compute the line integral
long-hand
D. none of the above, problem cannot be solved
Consider the line integral (el + cos x + y) dx + +yey + dy where C is the curve pictured below. 2 (-1,-3) (3,-4) Identify the best approach to doing this problem:
Let R be the region shown above bounded by the curve C = C1[C2.
C1 is a semicircle with center
at the origin O and radius 9
5 . C2 is part of an ellipse with center at (4; 0), horizontal
semi-axis
a = 5 and vertical semi-axis b = 3.
Thanks a lot for your help:)
1. Let R be the region shown above bounded by the curve C - C1 UC2. C1 is a semicircle with centre at...
Let A be the inside and boundary of the triangle in R2 whose vertices are (0,0), (1,0) and (0,1). Let C be the curve obtained by proceeding around the boundary of A in an anti- clockwise direction. Prove İ}!").lx (ly İ)(2 dr dy. Pdr+Qdy That is, prove Green's Theorem for the triangle A. [Hint: the lecture notes have a proof for when A is a rectangle. So, the idea is is to give a similar proof where we have this...
14. Use Green's theorem to evaluate the line integral Sc 2xy3dx + 4x2y2 dy where Cis the boundary of the triangular" region in the first quadrant enclosed by the x-axis, the line x-1, and the curve y=x3.
Evaluating using Green's theorem
(4x^3+sin(y^2))dy-(4y^3+cos(x^2))dx where C is the boundary of the
region x^2+y^24
Please be detail thanks.
We were unable to transcribe this image3. EVALUATE USING GREEN'S THEOREM (4x++sinyydy –(4y+cosx2) dx, WHERE C IS THE BOUNDARY OF THE REGION X+Y24.
Evaluate the following integrals using Green's theorem. 8. S. (2y2 + xsin(x)dx + (x3 - evy)dy where c is the rectangle in R2 with vertices at (1,0), (2,0), (2,2) and (1,2) oriented counterclockwise.
2. Use Green's theorem in order to compute the line integral $ (x - 1)3 dy - (y-2): d.x where C is the circle of radius 3 centered at (1, 2) and traversed in the counterclockwise way.
13. Use Green's Theorema to evaluate S (1+tan y)dx+(+ev)dy where C is the positively oriented boundary of the region enclosed by y=, x= n/6 and y=0. (A) -2- 1 (B) 2 - 1 (C) 2+ 2 (D) 2 - 7 (E) none of these
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