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6) Without finding the value of the integral prove that dz D C is the arc...
(15%) Evaluate the line integral -r-y + ) dz+ (z+2cy+3)dy, where C consists of the arc Ci of the ...
please calculate directly, my
answer is (3/2)pi+32/3 is that correct?
(15%) Evaluate the line integral -r-y + ) dz+ (z+2cy+3)dy, where C consists of the arc Ci of the quarter circle +y 1,x 2 0,y 0, from (0,-1) to (1,0) followed by the arc C2 of the quarter ellipse 4z2y2 - 4, 2 0, y 20, from (1,0) to (0, 2)
(15%) Evaluate the line integral -r-y + ) dz+ (z+2cy+3)dy, where C consists of the arc Ci of the...
what is the answer? (1 point) Finding the length of a curve. Arc length for y...
what is the answer?
(1 point) Finding the length of a curve. Arc length for y = f(x). Let f(x) be a smooth function over the interval [a, b]. The arc length of the portion of the graph of f(x) from the point (a, f(a)) to the point (b, f(b)) is given by V1 + [f'(x) dx Part 1. Let f(x) = 2 ln(x) - Setup the integral that will give the arc length of the graph of f(x) over...
1. Evaluate the complex integral: ∫C [zRe(z) − z¯Im(z)]dz, where C is the line segment joining...
1. Evaluate the complex integral: ∫C [zRe(z) − z¯Im(z)]dz, where C is the line segment joining −1 to i. (z¯ = z bar) 2. Evaluate the complex integral: ∫ C [iz^2 − z − 3i]dz, where C is the quarter circle with centre the origin which joins −1 to i.
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,...
10,0), ('') and (0,1) 2) Calculate the value of the double integral :) SS itxdA; D...
10,0), ('') and (0,1) 2) Calculate the value of the double integral :) SS itxdA; D = ftriangular region with vertices s} ii) SS y dA; D = {I quadrant bounded x = y² and x=8-j} iii) SS +dA; R = {I quadrant between the circles x² + y² = 1 and x² + y² = 2 R }
10) Calculate the integral zdac dy dz where D is bounded by the planes x =...
10) Calculate the integral zdac dy dz where D is bounded by the planes x = - 0, y = 0, z = 0, z = 1, and the cylinder x2 + y2 = 1 with x > 0 and y> 0. 11) Let y be the boundary of the rectangle with sides x = 1, y = 2, x = 3 and y = 3. Use Green's theorem to evaluate the following integral 2y + sina 1+2 1 +...
6. (1 point) Use Stokes' Theorem to find the line integral /2y dx + dy + (4-3x) dz, where C is the boundary of the triangle with vertices (0,0,0), (1,3,-2), and -2,4,5), oriented counterclockwise...
6. (1 point) Use Stokes' Theorem to find the line integral /2y dx + dy + (4-3x) dz, where C is the boundary of the triangle with vertices (0,0,0), (1,3,-2), and -2,4,5), oriented counterclockwise as viewed from the point (1, 0, 0)
6. (1 point) Use Stokes' Theorem to find the line integral /2y dx + dy + (4-3x) dz, where C is the boundary of the triangle with vertices (0,0,0), (1,3,-2), and -2,4,5), oriented counterclockwise as viewed from the...
2 +1 (b) Evaluate the contour integral dz, 22 – 9 where I is the boundary...
2 +1 (b) Evaluate the contour integral dz, 22 – 9 where I is the boundary of the square D = {z E C:-4 < Re(z) < 4, -4 < Im(z) < 4} traversed once counterclockwise.
I do NOT need part a. I really need help on b,c,d,and e though! Thank you
I do NOT need part a. I really need help on b,c,d,and e though!
Thank you
2. Evaluate the line integral where C is the given curve: BE SURE THAT YOU PARAMETERIZE EACH CURVE! (a) ez dr where C is the arc of the curve z = y3 from (-1,-1) to (1,1); (b) 2,2 d_T + y2 dy where C consists of the arc of the circle x2 + y2-4 from (2,0) to (0,2) followed by the line segment from...
Question 6 (15 ptal Express each of the given multiple integrals as an iter- ated integral with a...
Question 6 (15 ptal Express each of the given multiple integrals as an iter- ated integral with appropriate bounds, but do not evaluate. (A) Jo(4z) dA, where D is the region in the first quadrant and inside the circle 2.2 + y-25. 201 (B) 59+ 1ly) dA, where T is the interior n the triangle with vertices at (0,0), (1,4), and (1,-3) (C) (++2) dV, where E'is the st( J2) :233,5sT)
Question 6 (15 ptal Express each of the given...
please calculate directly, my
answer is (3/2)pi+32/3 is that correct?
(15%) Evaluate the line integral -r-y + ) dz+ (z+2cy+3)dy, where C consists of the arc Ci of the quarter circle +y 1,x 2 0,y 0, from (0,-1) to (1,0) followed by the arc C2 of the quarter ellipse 4z2y2 - 4, 2 0, y 20, from (1,0) to (0, 2)
(15%) Evaluate the line integral -r-y + ) dz+ (z+2cy+3)dy, where C consists of the arc Ci of the...
what is the answer?
(1 point) Finding the length of a curve. Arc length for y = f(x). Let f(x) be a smooth function over the interval [a, b]. The arc length of the portion of the graph of f(x) from the point (a, f(a)) to the point (b, f(b)) is given by V1 + [f'(x) dx Part 1. Let f(x) = 2 ln(x) - Setup the integral that will give the arc length of the graph of f(x) over...
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,...
10,0), ('') and (0,1) 2) Calculate the value of the double integral :) SS itxdA; D = ftriangular region with vertices s} ii) SS y dA; D = {I quadrant bounded x = y² and x=8-j} iii) SS +dA; R = {I quadrant between the circles x² + y² = 1 and x² + y² = 2 R }
10) Calculate the integral zdac dy dz where D is bounded by the planes x = - 0, y = 0, z = 0, z = 1, and the cylinder x2 + y2 = 1 with x > 0 and y> 0. 11) Let y be the boundary of the rectangle with sides x = 1, y = 2, x = 3 and y = 3. Use Green's theorem to evaluate the following integral 2y + sina 1+2 1 +...
6. (1 point) Use Stokes' Theorem to find the line integral /2y dx + dy + (4-3x) dz, where C is the boundary of the triangle with vertices (0,0,0), (1,3,-2), and -2,4,5), oriented counterclockwise as viewed from the point (1, 0, 0)
6. (1 point) Use Stokes' Theorem to find the line integral /2y dx + dy + (4-3x) dz, where C is the boundary of the triangle with vertices (0,0,0), (1,3,-2), and -2,4,5), oriented counterclockwise as viewed from the...
2 +1 (b) Evaluate the contour integral dz, 22 – 9 where I is the boundary of the square D = {z E C:-4 < Re(z) < 4, -4 < Im(z) < 4} traversed once counterclockwise.
I do NOT need part a. I really need help on b,c,d,and e though!
Thank you
2. Evaluate the line integral where C is the given curve: BE SURE THAT YOU PARAMETERIZE EACH CURVE! (a) ez dr where C is the arc of the curve z = y3 from (-1,-1) to (1,1); (b) 2,2 d_T + y2 dy where C consists of the arc of the circle x2 + y2-4 from (2,0) to (0,2) followed by the line segment from...
Question 6 (15 ptal Express each of the given multiple integrals as an iter- ated integral with appropriate bounds, but do not evaluate. (A) Jo(4z) dA, where D is the region in the first quadrant and inside the circle 2.2 + y-25. 201 (B) 59+ 1ly) dA, where T is the interior n the triangle with vertices at (0,0), (1,4), and (1,-3) (C) (++2) dV, where E'is the st( J2) :233,5sT)
Question 6 (15 ptal Express each of the given...
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