Let D be the portion of z = 2x + 5y inside x2 + y2 = 1, oriented up, and let € LAD OD F = (y, z, -x). Compute F. dr.

Q: 4. To approximate the area under the curve y = Vx + 1 in the interval [1,3], we can add the areas of…

A: Given data, Curve, y=x+1 in the interval [1,3]

Q: As a ball falls under the influence of gravity, does gravity do positive work or negative work?…

A:

Q: Compute the line integral of = 6x + y zŷ + z 2 along the triangular path shown in the figure below.…

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: 1.34 Given that a certain slab of silicon material exhib- its the charge-density distribution of…

A: We have to label the Electric Field E(x) as well as the Electric Potential

Q: Let A=5i-6.5 and B=3.5i-7ĵ . If lies in the xy-plane, Cis perpendicular to À , and Č-B=15 , what is…

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Q: (b) A spherical ball of charged particles has a uniform charge density throughout its volume. If the…

A: Given data, Radius of ball, R=10 (cm); According to Gauss Law, The total electric flux comes out…

Q: H=ре салфар te'sing an tpar At point (1,5,6) find: a) H⋅ax b) H x do c) The vector component of H…

A: Given, H=ρzcosφaρ+e-2sinφ2aφ+ρ2az

Q: 9. Given: D = 3x³yi-2x²y¹z6j+y³z²k Find: V.D.

A:

Q: 3.32 Let D = 2pz*a, + p cos? pa. Evaluate (a) $, D · dS (b) S, V · Ddv over the region defined by 0…

A: Given data, D→=2ρz2ρ^+ρcos2ϕz^ where, 0≤ρ≤5, -1≤z≤1, 0≤ϕ<2π

Q: Let B = 4x?e-Yax - 8xe-Yay. Determine V x [V(V.B)].

A: B⇀=4x2e-yax-8xe-yay now , ∇·B=dBxdx+dBYdYdBZdZ⇒∇·B=d4x2e-ydX+d-8xe-ydy⇒∇·B=8xe-y+8xe-y⇒∇·B=16xe-y