Question

In: Math

Problem 1: Use Green's Theorem to evaluate the vector line integral ∫C [?3??−?3] ?? where ?...

Problem 1: Use Green's Theorem to evaluate the vector line integral

∫C [?3??−?3] ??

where ? is the circle ?2+?2=1 with counterclockwise orientation.

Problem 2: Which of the following equations represents a plane which is parallel to the plane

36?−18?+12?=30

and which passes through the point (3,6,1) ?

a). 6?−3?+2?=3

b). 6?+3?−2?=34

c). 36?+18?−12?=204
d). 6?−3?+2?=2
e). 36?+18?+12?=228

Solutions

Expert Solution

as per guidelines we have to attempt only 1 st question if you are not stated separately

Please rate affirmatively if you are happy with my explanation

milcah answered 2 years ago
Next > < Previous

Related Solutions

Evaluate the line integral C F · dr, where C is given by the vector function...
Evaluate the line integral C F · dr, where C is given by the vector function r(t). F(x, y, z) = sin(x) i + cos(y) j + xz k r(t) = t5 i − t4 j + t k, 0 ≤ t ≤ 1
Evaluate the line integral, where C is the given curve, where C consists of line segments...
Evaluate the line integral, where C is the given curve, where C consists of line segments from (1, 2, 0) to (-3, 10, 2) and from (-3, 10, 2) to (1, 0, 1). C zx dx + x(y − 2) dy
Evaluate the line integral, where C is the given curve. C xeyzds, Cis the line segment...
Evaluate the line integral, where C is the given curve. C xeyzds, Cis the line segment from (0, 0, 0) to (2, 3, 4)
Evaluate the integral. (Use C for the constant of integration.) (x^2-1)/(sqrt(25+x^2)*dx Evaluate the integral. (Use C...
Evaluate the integral. (Use C for the constant of integration.) (x^2-1)/(sqrt(25+x^2)*dx Evaluate the integral. (Use C for the constant of integration.) dx/sqrt(9x^2-16)^3 Evaluate the integral. (Use C for the constant of integration.) 3/(x(x+2)(3x-1))*dx
(1 point) Let F=−3yi+4xjF=−3yi+4xj. Use the tangential vector form of Green's Theorem to compute the circulation...
(1 point) Let F=−3yi+4xjF=−3yi+4xj. Use the tangential vector form of Green's Theorem to compute the circulation integral ∫CF⋅dr∫CF⋅dr where C is the positively oriented circle x2+y2=25x2+y2=25.
1.Evaluate the integral C where C is x=t^3 and y=t, 0 ≤ t ≤ 1 2.Find...
1.Evaluate the integral C where C is x=t^3 and y=t, 0 ≤ t ≤ 1 2.Find the area of the surface with vectorial equation r(u,v)=<u,u sinv, cu >, 0 ≤ u ≤ h, 0≤ v ≤ 2pi
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed...
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = (x + y2)i + (y + z2)j + (z + x2)k, C is the triangle with vertices (7, 0, 0), (0, 7, 0), and (0, 0, 7).
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed...
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = xyi + 3zj + 7yk, C is the curve of intersection of the plane x + z = 10 and the cylinder x2 + y2 = 9.
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed...
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = xyi + 3zj + 5yk, C is the curve of intersection of the plane x + z = 2 and the cylinder x^2 + y^2 = 144.
Using Green’s theorem, compute the line integral of the vector field below, along the curve x^2...
Using Green’s theorem, compute the line integral of the vector field below, along the curve x^2 - 2x + y^2 = 0 , with the counterclockwise orientation. Don’t compute the FINAL TRIG integral. F(x,y) = < (-y^3 / 3) - cos(x^7) , cos(y^9 + y^5) + (x^3 / 3) > .
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT