B=re-²9, find curl(B) analytically. Compare the value of the divergence at points P1 = (x1, y1) = (0.5, 0.5) and P2 = (x2, y2) = (3, 2).

Q: Consider a rectangular surface of length L and width W in the xy plane with its center at the…

A:

Q: Convert these complex numbers to polar form and check yo such as Mathematica. (If using Mathematica,…

A: A complex number can be converted from rectangular to polar form and vice versa as:

Q: Use qualitative arguments (i.e., draw surfaces and/or loops on the plots and ascribe mcaning to the…

A: Loop drawn in the diagram shows that vector field has non zero divergence since net arrows are…

Q: Find negative gradient of v(x).

A:

Q: The solution format looks great but I'm unclear why you put the 10 under pi and for b the answer is…

A: correction and explanations in the problem requested

Q: Let E(r) : Calculate the line integral | E(r) - dr along the path a bc in the following two straight…

A: Let's solve the problem in Cartesian coordinate system. Given

Q: SSS(VF) dr over the region a² + y² + ² ≤ 25, where F = (x² + y² + 2²)(xi + yj + zk).

A: We will first express divergence operator in cartesian coordinates, and evaluate . We will then…

Q: sin dz. (b) sin° z dz. (z - T/6) Given C is the circle |z| = 1. Find the value of (a) z- 7/6

A:

Q: In a Hilbert plane with (P), let AABC be some triangle in the Hilbert plane. Let points Dand E…

A: Solution:   Given that,   α(∆ ABC)=1;CE ≅ 2 AEBD ≅ 2 CDCD ↔aAE ↔ bAB ↔ c

Q: Find the point at which the line meets the plane. x = 1+ 6t, y = - 2+ 2t, z= - 2+ 5t; x+ y+z= - 3…

A:

Q: Solve with explanation and calculation

A: By multiplying normal vector by -1 doesn't change anything for the plane.you can also reduce the…

Q: Evaluate [[ F · ndS (i.e., find the flux of F across S) where F(x, y, z)=-y, x, z² > and S is the…

A: Given F→ = -yx^ + xy^ + z2k^ x2 + y2 + z2 = 4 as the hemisphere is oriented in the direction of the…

Q: Calculate F. dS where F= (4r°z, 4y°z, 3z*) %3D and S is the surface of the solid bounded by the…

A: Given F→ = 4x3z , 4y3z ,3z4 z = 9-x2-y2   ,    z =4-x2-y2    and  z =0

Q: Anil

A: The objective of the question is to find the tt component of the energy-momentum tensor T_ab for the…