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please help with parts b and c! I do not understand how to find F. Thank you! 7. Find the line integral of F-(6x2-6x) i +6z j + k from (0,0,0) to (1,1,1) over each of the following paths in the...
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...
a. The line integral of F over the straight-line path C1 is 3 (Type an integer or a simplified fraction) Find the line integrals of F-yi + 3xj +2zkhom (0.0.0) to (1.1.1) over each of the followin...
a. The line integral of F over the straight-line path C1 is 3 (Type an integer or a simplified fraction) Find the line integrals of F-yi + 3xj +2zkhom (0.0.0) to (1.1.1) over each of the following paths a. The straight-ine path Ct rt)-ti+j+ tk, 0sts1 ь. The curved path C2 r(t)-ti+t2jtt4k.0sts1 c. The path C3UC 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 10 b. The line integral of F...
Find the line integrals of F=3yi + 4xj + 2zk from (0,0,0) to (1,1,1) over each...
Find the line integrals of F=3yi + 4xj + 2zk from (0,0,0) to (1,1,1) over each of the following paths. a. The straight-line path Cy: r(t) = ti + tj + tk, Osts 1 b. The curved path Cz: r(t) = Osts1 c. The path C, UC, 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) (0,0,0) (1.1.1)
Find the work done by force F=3(sqrt)z i−3x j+(sqrt)y k, from (0,0,0) to (1,1,1) over each of the... Find the work done by force F=3(sqrt)z i−3x j+(sqrt)y k, from (0,0,0) to (1,1,1) over each of the f...
Find the work done by force F=3(sqrt)z i−3x j+(sqrt)y k, from (0,0,0) to (1,1,1) over each of the... Find the work done by force F=3(sqrt)z i−3x j+(sqrt)y k, from (0,0,0) to (1,1,1) over each of the following paths. C1 =ti +tj +tk, C2 =ti + t2j + t4k, and C3∪C4 c1=7/6 c2=-1/5 what is c3uc4?
(1) Integrate f(x, y,z)+Vy - z2 over the straight line segment path from (0,0,0) to (1,1,1) (2) Consider the field F (2xyz+2,x2z, x2y), (a) (b) (c) Show that the field is conservative. Find a pot...
(1) Integrate f(x, y,z)+Vy - z2 over the straight line segment path from (0,0,0) to (1,1,1) (2) Consider the field F (2xyz+2,x2z, x2y), (a) (b) (c) Show that the field is conservative. Find a potential function for the field. Find the work the field does on an object that follows the path consisting of the line segment from (0,0,0) to (1,2,2), followed by the line segment from (1,2,2) to (2,4,3) Find the work done by the field ß-(x, 3y,-5z) along...
Question 2 (30 points) Integrate f(x, y,2) xzv2-z2 - y2 over the path C, which consists of two curves, C1 and C2 from (...
Question 2 (30 points) Integrate f(x, y,2) xzv2-z2 - y2 over the path C, which consists of two curves, C1 and C2 from (1, 0, 0) to (1,0, 0), then to (-1,3, 0). Curve C1 is only half of the circle2 Curve C2 is a straight-line segment. The parametric equation for G is G: r! (t)-cos t î + sin t k, 0 π Find the line integral: Jcf(x. y,z)ds - (25 points) C2 (-1,3,0)
Question 2 (30 points) Integrate...
→ (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...
Use (part A) line integral directly then use (part B) Stokes' Theorem 10. Use Stokes's Theorem to evaluate F dr where F(x, y, z) (3z 2y)i + (4x 3y)j + (z + 2y)k and C is the unit circle in th...
Use (part A) line integral directly then use (part B) Stokes'
Theorem
10. Use Stokes's Theorem to evaluate F dr where F(x, y, z) (3z 2y)i + (4x 3y)j + (z + 2y)k and C is the unit circle in the plane z (a) 67 (d) 12m 3. (b) TT (e) None of these (c) 3 TT
10. Use Stokes's Theorem to evaluate F dr where F(x, y, z) (3z 2y)i + (4x 3y)j + (z + 2y)k and C...
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...
a. The line integral of F over the straight-line path C1 is 3 (Type an integer or a simplified fraction) Find the line integrals of F-yi + 3xj +2zkhom (0.0.0) to (1.1.1) over each of the following paths a. The straight-ine path Ct rt)-ti+j+ tk, 0sts1 ь. The curved path C2 r(t)-ti+t2jtt4k.0sts1 c. The path C3UC 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 10 b. The line integral of F...
Find the line integrals of F=3yi + 4xj + 2zk from (0,0,0) to (1,1,1) over each of the following paths. a. The straight-line path Cy: r(t) = ti + tj + tk, Osts 1 b. The curved path Cz: r(t) = Osts1 c. The path C, UC, 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) (0,0,0) (1.1.1)
(1) Integrate f(x, y,z)+Vy - z2 over the straight line segment path from (0,0,0) to (1,1,1) (2) Consider the field F (2xyz+2,x2z, x2y), (a) (b) (c) Show that the field is conservative. Find a potential function for the field. Find the work the field does on an object that follows the path consisting of the line segment from (0,0,0) to (1,2,2), followed by the line segment from (1,2,2) to (2,4,3) Find the work done by the field ß-(x, 3y,-5z) along...
Question 2 (30 points) Integrate f(x, y,2) xzv2-z2 - y2 over the path C, which consists of two curves, C1 and C2 from (1, 0, 0) to (1,0, 0), then to (-1,3, 0). Curve C1 is only half of the circle2 Curve C2 is a straight-line segment. The parametric equation for G is G: r! (t)-cos t î + sin t k, 0 π Find the line integral: Jcf(x. y,z)ds - (25 points) C2 (-1,3,0)
Question 2 (30 points) Integrate...
→ (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...
Use (part A) line integral directly then use (part B) Stokes'
Theorem
10. Use Stokes's Theorem to evaluate F dr where F(x, y, z) (3z 2y)i + (4x 3y)j + (z + 2y)k and C is the unit circle in the plane z (a) 67 (d) 12m 3. (b) TT (e) None of these (c) 3 TT
10. Use Stokes's Theorem to evaluate F dr where F(x, y, z) (3z 2y)i + (4x 3y)j + (z + 2y)k and C...
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