Let F=[, e'in(x)+3x] and C be the boundary of the closed region x+1sys2.Then the value of the line integral | F()-dr is given by (Hint: use the theorem of Green) OA 3 ов. 6 ос. 4 O D. None of these here to search 近

Q: (3, 1) (у? + 2ху) dx + (- 1, 2) (x² 2ху) dy +

A: We have to show that the curvilinear integral is independent of path and we have to find its…

Q: 1-r-y C * (r* + y° +:')}dzdydx 14

A:

Q: fo F(1+ 2t, 1+ 3t)dt is equivalent to the line integral of F(x, y) on the line segment from (1,1) to…

A: Here we have to find is the given statement is true or false

Q: 22. Evaluate the iterated integral. (b) f. [, 2x + »)'dy (a) x+y+ xy dydx

A: Now we will solve the given double integral  We know integration of Xn dx = X(n+1) / (n+1) + C ,…

Q: 10. Consider the double integral JR 1+x²+y²' ху dxdy. (a) Evaluate the integral where R is the…

A: step:-1 Given integral is ∫∫R xy1+x2+y2dxdy Part (A):-  vertices A1, 0, B5, 0, C7, 3  Now, equation…

Q: Evaluate the line integral x'z ds, where C is the line segment from (0, 5, 2) to (4, 6, 5).

A:

Q: Set up the line integral ∫c x2z ds, where c is the line segment from (1, 6, -1) to (- 4, 1, 5). (No…

A:

Q: ²²-i)² dx 2³+dz when the contour C is the circle |z − 21 = 5 +4 1 Z- COSZ Cosz, dz when the contour…

A: According to the guidelines only three subparts should be answered. Therefore to answer the rest of…

Q: DO NOT include spaces in between characters. * d (y -8 de (y° +8 Compute at x =2.

A:

Q: . Compute the line integral of E from B(0,0,0) to A(2,1,3) if E = -4xya, – (4y + 2x2)a, + 8zaz. Use…

A: The line integral of vector field E→ along curve C is ∫C   E→.dr=∫abE→(r→(t).r→'(t)dt  where r(t)→…

Q: What should be A for the path independent of (2,4) 2Ay – x dy. y? XY + A (1,2) over evaluate the…

A: Consider the provide integral,

Q: a2 аз ад 1. The value of BA if B = [1 0 0] and A = |b1 b2 b3 b4 [C1 C2 C3 C4

A:

Q: 3. Compute the line integral of the scalar function f(x, y, z)=x²-4y+2³ along the curve C = C₁ UC₂…

A:

Q: Evaluate the line integral where F y = 2x² from (-1, 2) to (2,8).

A:

Q: Let F(x, y) = (2xey ,x + x2ey} and let C be the quarter-circle path from A to B in Figure 18.…

A:

Q: ZA So ydz + zdy+ ædz (3,4, 5) C , C2 (2,0,0) y (3,4,0)

A:

Q: Find the line integral of F =9xy*ï +(x² + 3),yj over the path L.

A:

Q: Use Green's Theorem to evaluate the line integral along the given curve. [xy xy ²dx + 5x²ydy C is…

A:

Q: Set up (but do not evaluate) the integral to compute the first moment of a thin plate of constant…

A:

Q: Compute the line integral of f(x)=2x over the curve y=x² from (0,0) to (1,1). |

A: The line integral of f(x)=2x over the curve y=x2 from (0,0) to (1,1)

Q: ¹ / ( (x² + x 7). xi - y). dr where C is the semicircle with center at (2, 0) and going from (8, 0)…

A:

Q: F. dr where F = yzi + xzj +xyk and C is the curve x = t, y = 2t², z = –2t² with 0<t < 1.

A: Given F=yzi+xzj+xyk and r=ti+2t2j-2t2k Now the vector field along the curve can be given by…

Q: Sc xe¹zdS, C is the line segment from (0,0,0) to (1, 2, 3)

A:

Q: Previous Problem List Next ‚ Let F = (6x²y + 2y³ + 7e²)i + (5ex² +54x) j. Consider the line integral…

A: Given, and consider the line integral of  around the circle of radius , centered at the origin and…

Q: What is the value of the line integral ∫AB xy dx defined by the line y = x +2 and it is along the…

A: The given problem is to evaluate the line integral along the path y=x+2 from points A(0,2) and…

Q: aluate the line integral, where C is the given curve. ∫C xeyzds C is the line segment from (0,…

A: Given that the line integral is                                                    ∫Cxeyzdz, where C…