Use triple in tegral to find the Volume of solid bounded by following Coordinates , X-o Y=0, Z= 1 and y= 1-X

Q: 3. Let V = 6xy?z3 +5 In(x² + y² + 3z²)V in free space. Evaluate ea following quantities at P(2,3,…

A: In this question we will find potential , electric field and electric flux density at given point…

Q: Q3) Find the volume of the solid generated by revolving region bounded by the curve (y=-e-* ) & the…

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Q: Q4/ For the following configuration, both line and cylinder are infinite in extent with z-axis ρι 3μ…

A: We need to find out the charge density for given charge distribution .

Q: D1.7. Give the points, C(-3,2,1) and D(r 5,0 = 20°,Ø = -70°), find: (a) the spherical coordinates of…

A: The given points are,C(-3, 2, 1)D(r=5, θ=20°, ϕ=-70°)   Find-a. The spherical coordinates.b. The…

Q: Region I Mr₁=4 is the side of the plane y+z=1 containing the origin Region II 1 Mr₂ = 6 for given…

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Q: h,0,0 H.WAn infinite disk has a hole its center is at origin on (xy) plane of radius (a ). Find the…

A: Let us consider the disc has an surface charge rhos.  Given disc

Q: If ( po ) represent the pressure at the top surface of the liquid. At a point with coordinate (y) to…

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Q: Q1. Given that D = z p cos?Ø âz C/m² evaluate both sides of divergence theorem for the cylinder of…

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Q: Q1. Verify Divergence theorem for the function F = ē,p over the semi-cylindrical volume %3D V = { x²…

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Q: Pi = 3µ C/m 2 m 1.5 C/m? Ps ||

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Q: Q4) Evaluate both sides of divergence theorem for the field D-2r ar +(4/sin@)a0 and a sphere of r-3…

A: Following vector identities to evaluate divergence theorem ar.ar =1 , ar.atheta=0 and aphi.atheta=0…

Q: HW_2)Solve the following questions: Q1) Prove that the curl of the gradient of any scalar is zero.…

A: To prove that the curl of the gradient of any scalar is zero

Q: D2.6. Three infinite uniform sheets of charge are located in free space as follows: 3 nC/m2 at z -4,…

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Q: Q1) Find the volume of the solid generated by revolving region bounded by the curve (x=/y) & the…

A: Volume of Solid - Case-1. About revolution x-axis. y=f(x)Volume=∫abπy2dx=∫abπy.ydx The volume of…

Q: 1. The volume (V) and surface area (A) of a sphere are given by V-4/3ar', A-4ar. Writ MATLAB program…

A: clc;clear;close all;r=linspace(0.1,10,50)%VolumeV=(4/3)*pi*(r.^3)%Surface…

Q: Q6. Given that, E (R,0,6) = (R'e*)âg +(e* cos" tan ø)â, + cos øâ, and S is the closed surface of a…

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Q: The surfaces r =1 and 4, 0 = 30° and 50°, and p=20° and 60° identify a cle surface. Find the total…

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Q: Lef V = 6xyʻz° + 5 In(x² + y +3z4)V in free space. Evaluate each of the following quantities at…

A: Given V=6xy2z3+5 ln(x2+y2+3z2) V in free space.point P( 2 , 3 , -1 )Here we have to deterrmine the…

Q: Q2/ Three uniform shcets of charge are located in free space as follow: 2µC/m at x=-3.-5µC/m² at…

A: Dear student you posted multiple part question.we have limited time to solve your question.we will…

Q: Using left side of the divergence theorem, find the total charge enclosed in the rectangular…

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Q: Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the…

A: None of the options is correct    EXPLANATIONEquation of two lines intersecting planes is given by…

Q: A cube is defined by 1 < x, y, z < 1.2. If D = 2x²ya, + 3x²y²a, –6z²a.C/m² (a) Apply Gauss's law to…

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Q: 26. Given that, Ë (R,0,6) = (R*e®)âp +(e* cos" tan ø)â, + cos gâ, and S is the closed surface of a…

A: To calculate this integral we have to first define the element ds which is   ds=r2sinθdθdϕ.ar Since…

Q: In spherical cookdlingtes, E = zr ar Vm Find the potential atauy point using the feffrences@V-o at…

A: The potential at any point in spherical coordinates is determined as shown below

Q: Q2) Three infinite uniform sheets of charge are located in free space as follows: 3 nC/m^2 at z =…

A: Given Data: Electrical field due to the infinite sheet charge can be calculated using the following…

Q: 4. Find the volume of the solid that results when the region enclosed by the curves y x2, x = y2 is…

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Q: Q4) Evaluate both sides of divergence theorem for the field D-2r ar +(4/sin@)a@ and a sphere of r-3…

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Q: If V = x-y+ xy + 2z V, find: E at (1,2,3) and the electrostatic energy stored in a cube of side 2m,…

A: As per Bartleby guidelines we are allowed to solve only one question, please ask the rest again.

Q: Q3: ( 18 Let V = 50x²y z+2y-v in free space. Evaluate each of the following quantities at P(1. 2,3).…

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Q: HW_2)Solve the following questions: QI) Prove that the curl of the gradient of any scalar is zero.…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: A cube is definced by 1 < x, y, z < 1.2. If D = 2x?ya, + 3x?y'a, – 67a,C/m? (a) Apply Gauss's law to…

A: Given that, D=2x2yax+3x2y2ay-6z2az C/m2 a) Applying Gauss's law to find the total flux leaving the…

Q: Question No. 1: Answer the following Questions: 1. Compute the polar coordinates of a) z1 = -1 - j…

A: Cartesian and polar forms play an important role in Electrical engineering. especially in AC…

Q: Set up a triple integral for the volume of the solid. The solid that is the common interior below…

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Q: Given the scalar field defined by Ø(x, y, z) = 3x²z – xy% + 5 find Ø at the points: Match each item…

A: This question belongs to basic electrical . It is based on Cartesian coordinate system . It is based…

Q: Problem 2 Use Gauss' theorem to determine f, D.dS, where the electric flux density is D = x²ax -…

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Q: Q3\ A. Give the Cross products of the unit vectors (i, j, k). B. Vector A has a magnitude of 6 units…

A: In the given question they are discussing about the electromagnetic theory. In electromagnetic…

Q: A cube is defined by 1 < x, y.z < 1.2. If D = 2x²ya, + 3x²y²a,-62 a,C/m (a) Apply Gauss's law to…

A: As we have given 1&lt;x,y,z&lt;1.2D=2x2yax+3x2y2ay-6z2azx1=1 x2=1.2y1=1 y2=1.2z1=1 z2=1.2

Q: 2- A filament is formed into a circle of radius a, centered at the origin in the plane z = 0. It…

A: Let a current i ampere is flowing through a filament made in circular shape of radius a.

Q: Discuss the following statement whether it is correct or not. Please explain your answer. "In…

A: Given statement  In cylindrical coordinate system ,The dot product between unit vector aρ and the…

Q: If V = x-y + xy + 2z V, find E at (1, 2, 3) and the electrostatic energy store cube of side 2 m…

A: Given; V=x-y+xy+2z V The electric field is given as; E=-∂V∂xax+∂V∂yay+∂V∂zazE=-1+yax+1-xay+2azat…

Q: Using left side of the divergence theorem, find the total charge enclosed in the rectangular…

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Q: In cylindrical coordinate system, p= 2, 6 = defines a; Select one: O a. None of them O b. Point O c.…

A: we need to choose correct option.

Q: Find Surface area after revolving about x-axis y = V(4 - x²), –1 <x<1

A: The surface area of revolution of y=f(x) about x-axis from x=a to x=b is given as:…

Q: QI: Three infinite current sheet K, = -60 āz at y = 7 and K2 = 20 āz at y = 5 and K 3 = -10 āz at y…

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Q: moment of mass

A: The equation for moment of mass is given as

Q: 4. The surfaces p = 3 and 5, = 100° and 130°, and z = 3 and 4.5 identify a closed surface.

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Q: A cube is defined by 1 < x, y, z < 1.2. If D = 2x²ya, + 3x?y'a, -62 a.C/m? (a) Apply Gauss's law to…

A: Given electric flux density D¯=2x2yax+3x2y2ay-6z2az According to Gauss Law; Electric Flux ψe=∬D¯.dA¯…

Q: Solve the following problems accordingly. Show your solution. 1. Volume charge density is given in…

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Q: How Region I Mrs = 4 is the side of the plane y+z=1 containing the origin Region II 1 Mr₂ =6 for…

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