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e Sck to find the line integra 5. 2ydz +dy-ds -C "'be boundary of the trinngle with verticen (0,0,0). (1.3,-2). d terclockwise ns viewed from the point (C1.0,0 e Sck to find the line...
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...
Evaluate the line integral: -3) ds+( dy+(y e16r +102) dz. I = C+z e16x+ 16y z e16r (0,0,0) Your answer can be expressed...
Evaluate the line integral: -3) ds+( dy+(y e16r +102) dz. I = C+z e16x+ 16y z e16r (0,0,0) Your answer can be expressed as a number accurate to five significant figures or as an expression in correct Maple syntax For example: 8-3*exp(-5) OR 7.979786159 OR rounded to 7.97979 | = Skipped
Evaluate the line integral: -3) ds+( dy+(y e16r +102) dz. I = C+z e16x+ 16y z e16r (0,0,0) Your answer can be expressed as a number accurate to five...
Question 2 Find the area of the following: Curved boundary In2 ho h1 7.2 11.9 ns...
Question 2 Find the area of the following: Curved boundary In2 ho h1 7.2 11.9 ns ha ho he a 14.4 b 1 + 40 с 6.0 6.1 d 2 +40 2 + 70 e 0 + 00 0 + 60 11.8 12.4 f 3+ 75 4 + 35 Reference line
3. (a) Given I = S, V10(2x + y) ds where c is the straight line...
3. (a) Given I = S, V10(2x + y) ds where c is the straight line segment y = 3x from (0,0) to (2,6) as shown below. 2 (1 mark) 0) With x = t, express y in terms of the parametert for the straight line. () With ds = dt, express ds in terms of parameter t and its derivative. (4 marks) C) Use the above (i) and (ii) results to find the value of I. (5 marks) (b)...
Find the line integral of F = (3x^2-7x) i +7z j + k from (0,0,0) to...
Find the line integral of F = (3x^2-7x)
i +7z j + k from
(0,0,0) to (1,1,1) over each of the following paths in the
accompanying figure.
a. C1: r(t) = t i + t
j + t k,
b: C2: r(t) = t i +t^2 j + t^4 k,
c: C3C4:
the path consisting of the line segment from (0,0,0) to (1,1,0)
followed by the segment from (1,1,0) to (1,1,1)
We were unable to transcribe this imageWe were unable...
answer all parts, please! (5) Consider the closed volume V contained by the cylinder r2+2-4 and the planes y =-2 and r +y-3. Let the surface S be the boundary of this region. Note that this boundary...
answer all parts, please!
(5) Consider the closed volume V contained by the cylinder r2+2-4 and the planes y =-2 and r +y-3. Let the surface S be the boundary of this region. Note that this boundary consists of three smooth pieces. (a) Clearly sketch and label S. (You may use GeoGebra for this.) (b) In complete sentences, verbally describe what this surface looks like. (c) Find a parametric representation for each of the three parts of the boundary S...
1. Evaluate the line integral S3x2yz ds, C: x = t, y = t?, z =...
1. Evaluate the line integral S3x2yz ds, C: x = t, y = t?, z = t3,0 st 51. 2. Evaluate the line integral Scyz dx - xz dy + xy dz , C: x = e', y = e3t, z = e-4,0 st 51. 3. Evaluate SF. dr if F(x,y) = x?i + xyj and r(t) = 2 costi + 2 sin tj, 0 st St. 4. Determine whether F(x,y) = xi + yj is a conservative vector field....
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,...
Use the fact that the vector field -e' i + (ze +2) j F(z, y) is conservative to evaluate the line integral IF ds along a smooth curve C from (0, 1) to (e, 2). 1. I2e3 +1 2. I2e - 1 4. Ie -4 5...
Use the fact that the vector field -e' i + (ze +2) j F(z, y) is conservative to evaluate the line integral IF ds along a smooth curve C from (0, 1) to (e, 2). 1. I2e3 +1 2. I2e - 1 4. Ie -4 5. Ie + 2
Use the fact that the vector field -e' i + (ze +2) j F(z, y) is conservative to evaluate the line integral IF ds along a smooth curve C from (0,...
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...
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...
Evaluate the line integral: -3) ds+( dy+(y e16r +102) dz. I = C+z e16x+ 16y z e16r (0,0,0) Your answer can be expressed as a number accurate to five significant figures or as an expression in correct Maple syntax For example: 8-3*exp(-5) OR 7.979786159 OR rounded to 7.97979 | = Skipped
Evaluate the line integral: -3) ds+( dy+(y e16r +102) dz. I = C+z e16x+ 16y z e16r (0,0,0) Your answer can be expressed as a number accurate to five...
Question 2 Find the area of the following: Curved boundary In2 ho h1 7.2 11.9 ns ha ho he a 14.4 b 1 + 40 с 6.0 6.1 d 2 +40 2 + 70 e 0 + 00 0 + 60 11.8 12.4 f 3+ 75 4 + 35 Reference line
3. (a) Given I = S, V10(2x + y) ds where c is the straight line segment y = 3x from (0,0) to (2,6) as shown below. 2 (1 mark) 0) With x = t, express y in terms of the parametert for the straight line. () With ds = dt, express ds in terms of parameter t and its derivative. (4 marks) C) Use the above (i) and (ii) results to find the value of I. (5 marks) (b)...
Find the line integral of F = (3x^2-7x)
i +7z j + k from
(0,0,0) to (1,1,1) over each of the following paths in the
accompanying figure.
a. C1: r(t) = t i + t
j + t k,
b: C2: r(t) = t i +t^2 j + t^4 k,
c: C3C4:
the path consisting of the line segment from (0,0,0) to (1,1,0)
followed by the segment from (1,1,0) to (1,1,1)
We were unable to transcribe this imageWe were unable...
answer all parts, please!
(5) Consider the closed volume V contained by the cylinder r2+2-4 and the planes y =-2 and r +y-3. Let the surface S be the boundary of this region. Note that this boundary consists of three smooth pieces. (a) Clearly sketch and label S. (You may use GeoGebra for this.) (b) In complete sentences, verbally describe what this surface looks like. (c) Find a parametric representation for each of the three parts of the boundary S...
1. Evaluate the line integral S3x2yz ds, C: x = t, y = t?, z = t3,0 st 51. 2. Evaluate the line integral Scyz dx - xz dy + xy dz , C: x = e', y = e3t, z = e-4,0 st 51. 3. Evaluate SF. dr if F(x,y) = x?i + xyj and r(t) = 2 costi + 2 sin tj, 0 st St. 4. Determine whether F(x,y) = xi + yj is a conservative vector field....
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,...
Use the fact that the vector field -e' i + (ze +2) j F(z, y) is conservative to evaluate the line integral IF ds along a smooth curve C from (0, 1) to (e, 2). 1. I2e3 +1 2. I2e - 1 4. Ie -4 5. Ie + 2
Use the fact that the vector field -e' i + (ze +2) j F(z, y) is conservative to evaluate the line integral IF ds along a smooth curve C from (0,...
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...
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