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(6 points) Let C be the curve which is the union of two line segments, the first going from (0, 0) to (-2, 3) and the second going from (-2, 3) to (-4, 0) Compute the line integral-2dy - 3dx. (6...
2. (3 pts.) Let C denote the unit circle, oriented clockwise. Evaluate the line integral ydx dy in two different ways: first by parameterizing the curve and using the definition of line integral;...
2. (3 pts.) Let C denote the unit circle, oriented clockwise. Evaluate the line integral ydx dy in two different ways: first by parameterizing the curve and using the definition of line integral; then, use Green's theorem.
2. (3 pts.) Let C denote the unit circle, oriented clockwise. Evaluate the line integral ydx dy in two different ways: first by parameterizing the curve and using the definition of line integral; then, use Green's theorem.
Putin uhd e integral lound a r the val- 0 VIIl, 81. EXERCISES Compute the curve integrals of the ...
No 3
putin uhd e integral lound a r the val- 0 VIIl, 81. EXERCISES Compute the curve integrals of the vector field over the indicated curves. (x,y)=(x2-2xy,y2-2xy) along the, parabola y=x2 from (-2,4) to 2. 0x, y, xz - y) over the line segment from (0,0, 0) to (1, 2, 4), 3, Let r (x2 y2)1/2 Let F(X)-X. Find the integral of F over the circle of radius 2, taken in counterclock wise direction. 4. Let C be a...
3. [10] (quadrifolium) Let (a2 + y2) = (2 -)2 be a curve. Find the points on the curve where the normal line is para...
3. [10] (quadrifolium) Let (a2 + y2) = (2 -)2 be a curve. Find the points on the curve where the normal line is parallel to y 0. re2y, find the normal line at 4. [4] Let (1,0). [0, 10] with f(0) f(10) 0 and 5. 5 Let f(a) be continuous and differentiable on f(5) 4. Mark TRUE or FALSE for the following statements and JUSTIFY. (No points will be given without the correct justification) (A) There is some c...
please solve all thank you so much :) Let C be the curve consisting of line...
please solve all thank you so
much :)
Let C be the curve consisting of line segments from (0, 0) to (3, 3) to (0, 3) and back to (0,0). Use Green's theorem to find the value of [ xy dx + xy dx + y2 + 3 dy. Use Green's theorem to evaluate line integral fc2x e2x sin(2y) dx + 2x cos(2) dy, where is ellipse 16(x - 3)2 + 9(y – 5)2 = 144 oriented counterclockwise. Use Green's...
→ (1 point) Let Vf-6xe-r sin(5y) +1 5e* cos(Sy) j. Find the change inf between (0,0) and (1, n/2) in two ways. (a) First, find the change by computing the line integral c Vf di, where C is a curve co...
→ (1 point) Let Vf-6xe-r sin(5y) +1 5e* cos(Sy) j. Find the change inf between (0,0) and (1, n/2) in two ways. (a) First, find the change by computing the line integral c Vf di, where C is a curve connecting (0,0) and (1, π/2) The simplest curve is the line segment joining these points. Parameterize it: with 0 t 1, K) = dt Note that this isn't a very pleasant integral to evaluate by hand (though we could easily...
let F(x,y) = 3x^2y^2i+2x^3yj and c be the path consisting of line segments from(1,2) to (-1,3),...
let F(x,y) = 3x^2y^2i+2x^3yj and c be the path consisting of
line segments from(1,2) to (-1,3), from (-1,3) to (-1,1), and from
(-1,1) to (2,1). evaluate the line integral of F along c.
Let F(x, y) = 3x²y2 i + 2x’yj and C be the path consisting of line segments from (1, 2) to (-1,3), from (-1, 3) to (-1, 1), and from (-1, 1) to (2, 1). Evaluate the line integral of F along C.
there is first question E then there is the question of the value of the line integral ,then quwstion A, then question 1, and the last two pictures are one question Question E...
there is first question E then there is the question
of the value of the line integral ,then quwstion A, then question
1, and the last two pictures are one question
Question E (5 points) By Green's theorem, the value of the line integral y 4 is: , where C is the curve given by a) 3 c) 12t d) 27T e) If none of the above is correct, write your answer here in a box rover the line segment...
2) (15 points) (a) (10 points) Compute the line integral s f(x,y) ds of the scalar...
2) (15 points) (a) (10 points) Compute the line integral s f(x,y) ds of the scalar function over the oriented curve. [C] 0 (5 points) How does your answer change if I reverse the orientation of Cl? f(0, y) = C): The curve parameterized by r(t) = t'i + t'j, t E (1.21
6. (a) Consider the line integral (2) dx+2y dy, where C is part of the ellipse 9r26y144 from the ...
solve the proplem using Maple
6. (a) Consider the line integral (2) dx+2y dy, where C is part of the ellipse 9r26y144 from the point (0,3) to the point o.-3). Plot the curve C and evaluate the line integral. (b) Consider the surface integralVi++i where S is the surface of the helicoid r(mu) =< u cost, u sin v, u >, integral 0 u 1, 0 u 2r. Plot the surface S and evaluate the surface
6. (a) Consider the...
3. Let C be the curve r(t) = < sint, cost, t>,0 sts 1/2. Evaluate the...
3. Let C be the curve r(t) = < sint, cost, t>,0 sts 1/2. Evaluate the line integral S ry ryds. 1/V2. 1/2, V2, 0,
2. (3 pts.) Let C denote the unit circle, oriented clockwise. Evaluate the line integral ydx dy in two different ways: first by parameterizing the curve and using the definition of line integral; then, use Green's theorem.
2. (3 pts.) Let C denote the unit circle, oriented clockwise. Evaluate the line integral ydx dy in two different ways: first by parameterizing the curve and using the definition of line integral; then, use Green's theorem.
No 3
putin uhd e integral lound a r the val- 0 VIIl, 81. EXERCISES Compute the curve integrals of the vector field over the indicated curves. (x,y)=(x2-2xy,y2-2xy) along the, parabola y=x2 from (-2,4) to 2. 0x, y, xz - y) over the line segment from (0,0, 0) to (1, 2, 4), 3, Let r (x2 y2)1/2 Let F(X)-X. Find the integral of F over the circle of radius 2, taken in counterclock wise direction. 4. Let C be a...
3. [10] (quadrifolium) Let (a2 + y2) = (2 -)2 be a curve. Find the points on the curve where the normal line is parallel to y 0. re2y, find the normal line at 4. [4] Let (1,0). [0, 10] with f(0) f(10) 0 and 5. 5 Let f(a) be continuous and differentiable on f(5) 4. Mark TRUE or FALSE for the following statements and JUSTIFY. (No points will be given without the correct justification) (A) There is some c...
please solve all thank you so
much :)
Let C be the curve consisting of line segments from (0, 0) to (3, 3) to (0, 3) and back to (0,0). Use Green's theorem to find the value of [ xy dx + xy dx + y2 + 3 dy. Use Green's theorem to evaluate line integral fc2x e2x sin(2y) dx + 2x cos(2) dy, where is ellipse 16(x - 3)2 + 9(y – 5)2 = 144 oriented counterclockwise. Use Green's...
→ (1 point) Let Vf-6xe-r sin(5y) +1 5e* cos(Sy) j. Find the change inf between (0,0) and (1, n/2) in two ways. (a) First, find the change by computing the line integral c Vf di, where C is a curve connecting (0,0) and (1, π/2) The simplest curve is the line segment joining these points. Parameterize it: with 0 t 1, K) = dt Note that this isn't a very pleasant integral to evaluate by hand (though we could easily...
let F(x,y) = 3x^2y^2i+2x^3yj and c be the path consisting of
line segments from(1,2) to (-1,3), from (-1,3) to (-1,1), and from
(-1,1) to (2,1). evaluate the line integral of F along c.
Let F(x, y) = 3x²y2 i + 2x’yj and C be the path consisting of line segments from (1, 2) to (-1,3), from (-1, 3) to (-1, 1), and from (-1, 1) to (2, 1). Evaluate the line integral of F along C.
there is first question E then there is the question
of the value of the line integral ,then quwstion A, then question
1, and the last two pictures are one question
Question E (5 points) By Green's theorem, the value of the line integral y 4 is: , where C is the curve given by a) 3 c) 12t d) 27T e) If none of the above is correct, write your answer here in a box rover the line segment...
2) (15 points) (a) (10 points) Compute the line integral s f(x,y) ds of the scalar function over the oriented curve. [C] 0 (5 points) How does your answer change if I reverse the orientation of Cl? f(0, y) = C): The curve parameterized by r(t) = t'i + t'j, t E (1.21
solve the proplem using Maple
6. (a) Consider the line integral (2) dx+2y dy, where C is part of the ellipse 9r26y144 from the point (0,3) to the point o.-3). Plot the curve C and evaluate the line integral. (b) Consider the surface integralVi++i where S is the surface of the helicoid r(mu) =< u cost, u sin v, u >, integral 0 u 1, 0 u 2r. Plot the surface S and evaluate the surface
6. (a) Consider the...
3. Let C be the curve r(t) = < sint, cost, t>,0 sts 1/2. Evaluate the line integral S ry ryds. 1/V2. 1/2, V2, 0,
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