H-w lo Find the oliscontinnity point of &Cz) : ニ 5(2+i) 2+ci-2)Z -2i 근-3 S in Z

Q: 2. Use Green's Theorem (and only Green's Theorem) to evaluate |(2? + y)dx + (x² – y³)dy, where C is…

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Q: 1 Evaluate E 22 + y² + z² dV, where E lies between the spheres a? + y? + z² = 16 ar ² + y² + z² = 25…

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Q: et zy = f sー n z = s %3D Ch) Find zqF zy White the sesubt on exact redangulet form,

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Q: 1 in 1in y 1 in 3 in 1 in X

A: Consider the diagram and divide into four regions as shown below, Now, make a chart and evaluate…

Q: Evaluate /v x² + y² dV_where E is the region that lies inside the cylinder E 22 + y? = 4 and between…

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Q: UseThe Culerwe method's Sove the: dy %3D xCi+メ)。 y(0)=3,h=0.2

A: This is a problem of Numerical Analysis.

Q: wnich of the followi ng functrons is homogeneous? 5x - 12メy ty? Po.) sm xy Ci) eln xy 2

A: To find which of the following function is a homogeneous function. A)fx, y=5x3-12xy+y3B)fx,…

Q: 4) The half-widths of a ship with a length of 60 m at the loaded waterline are given in the table…

A: As interval is divided into 6 equal parts . So, n=6 h=x1-x0=1-0=1 y0=f0=fx0=f0=2.85…

Q: D¹(²)y(x) + Dª(²)y(x − 0.01) + y¨ (x) (39 − y(x) = g(x), x = [0,h], solv using the subjected…

A: In natural philosophy and arithmetic, Legendre polynomials (named after Adrien-Marie Legendre, who…

Q: Evaluate I 8z(2r? + y) cos(4.r* – y*)dzdy where R is the region above y 2r2, below y = -2r2, and…

A: We want to evaluate ∬R8x(2x2+y) cos(4x4-y2) dxdy over the region R, where R is region above y=2x2…

Q: The temperature at a point (x,y,z) is given by T(x,y,z) = 1300e^(-x^2-2y^2-z^2) where T is measured…

A: given that T(x,y,z)=1300e(-x^2-2y^2-z^2) . we need to find the rate of change of the temperature at…

Q: Evaluate II elx²+y²+z²) dV where E is the solid inside x² + y + z? = 4 and above z = V3x2 + 3 y² E

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Q: 8. (x – y) dV, where E is enclosed by the surfaces z = x² – 1, z = 1 – x² , y = 0, and y = 2 E

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Q: Among all rectangular boxes defined by the inequalities 0 ≤x ≤ a, 0 ≤ y ≤ b, 0 ≤ z ≤ 1, find the one…

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Q: Fined Fhe boundled by Ahe Cure area 2. x+Y= 3 %3D -33-j` and ど= %3D Ans wer

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Q: (A) Find div (e grad u xf) at (2,1,0) where x-y and =(x²+1)i+sec¯¹(x² −y)j + 3y²z. k YZ 11=

A: What is grad, div and curl: Gradient, divergence and curl are important in vector calculus. Gradient…

Q: A=LDU where D-) then the humber of special solubion s bo Ax =0 is equal a-1/b.e/c.2/d.camt be deubie…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The path integral v- dr, where v = (sin y, x - cos y) and C is the perimeter of the triangle formed…

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Q: 8- Solve ihe separation of variable MeRod satisfy %3D The condilion as tp0 as for x=0 and a =a T=メ…

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Q: the IVP ly a Sum of povers up to and including x5. cx-2) y'= xy, yroje 4 Q.6. Salve pover ceries and…

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Q: a) Lollowng use Euler ncthoel tsoule The d = yx2-Y for メ=2 at h=o.Ś , h=0.25 y= x +zy h=ol y (2)= }

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Q: Evaluate II Væ² + y? dV, where E is the region that lies inside the cylinder æ2 + y² = 16 and…

A: E is the region that lies inside the cylinder x2+y2=16 and between the planes z=-5 and z=4 Change…

Q: e of the solid E whose boundaries are given in rectangular located inside the circular cone x? + y?…

A: In this question we will use basic of calculus i.e volume of cone. We will simply draw the given…

Q: Transform the equation (ry? - z) dz + (z²y + y) dy = 0 into the form of separable dit %3D O ( + 1)…

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Q: 2 2 JEind. thePaints.an.th. sur face. Xy Z=1 that.are .... closest...t. the origin

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Q: 2. Find the coefficients in the interval [0, 2], where s (x) is a natural cubic spline. 1+x - ax? +…

A: we have s(x)=1+x-ax2+bx3                               x∈0,1c+d(x-1)+e(x-2)2+(x-2)3      x∈1,2 s(x)…

Q: əz * əy? ax2 ar? r ar 32. Show that the Laplacian operator a/Əx² + a²/ay² + a /az? in three…

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Q: Eraluate: 1. JJR e-(n^²+yv) the eincles of padii 1& 2 dady, R is the region of between.

A: As per the our guideline, we are supposed to solve only first question. Kindly repost other question…

Q: The integral JJI eV 4x2 + 4y² + 4z² dV = mt, where R is the solid hemisphere with x2 + y? + z² < 11…

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Q: 10- Evaluate JJI where E is the region that lies inside the cylinder Vx2 + y?dV E x? + y? = = 16 and…

A: Here we use polar coordinate and Jacobian .

Q: 1. Evaluate ſf, y dS where S is the portion of the cylinder 4x² + 2y² = 16 that lies between z = 0…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Jraen fusk hon conespaaday to o d'u z ul) = flx). dx² Find the the egualido for conespoodiang to…

A: Given differential equation is d2udx2+u(x)=f(x)                   (1) boundary conditions are…

Q: The strength E of an electric field at a point (x, y, z) due to an infinitely long charged wire…

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Q: 4| ind Volumes of のnen reo リュー! )ス"0) reten iegTon 1- dv - dzdy chy 1 Limik of 2:0> y2 Limik of y:…

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Q: Use Green's Theorem to calculate (422 – 3yx)dr + (3xy+ y² + 6)dy where C is the circumference (x –…

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Q: 3. WHEN THE LOAD IS UNl FORMLY DISTrRIBUTED ADRIZONTALLY A SNSPENSION BRIDGE CABLE HANGS IN A…

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Q: No. Date Evaluate fff dv G x² + y² where G is a solid that lies inside cylinder *+(4-2)² =4 obove…

A: we will use cylindrical co ordinate system to solve the given integral

Q: A string of length 1m attached with two points. The deflection in the string is given by y" + Ay =…

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Q: Solve Laplace's equation inside a 60° wedge of radius a, 1 ³u = 0, r2 a02 ди Osrsa, 0s0s r år ar…

A: Given,∇2r=1r∂∂rr∂u∂r+1r2∂2u∂θ2Seperation of variables: ur,θ=ϕθfrraddrrdfdr=-d2ϕdθ2ϕ=λ

Q: Find the line integral (4х — 5у) ds, where C is the semicircle y = 9 – x² traversed from (3,0) to…

A: Graph the semi-circle. Take x=3cost and y=3sint Now, x'=-3sint and y'=3cost The angle covered by…

Q: y = x, %3D x = y?, 0<x < 1, 0.8 0.6 y 0.4 0.2 0.2 0.4 0.6 0.8 Figura 11.13. Ejercicio 11.17 como una…

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Q: 5) 2z dV, E is the solid enclosed by the cone % = Vr2 + y? and the E plane z 5

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Q: 1. Given below, find the values of x and y using partial pivoting and also prove that PA=LU. j0 1 4|…

A: Given, A=014122313 We need to find value of x and y using partial pivoting and also to prove PA=LU.…

Q: 1) In rectangle JKLM, JN = x + 3 and JL = 3x + 1, select all that apply. %3D %D K N M A) NL = 4 B)…

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Q: find the valume 9tntrat ed by y= X? on [0,31 rotating abaut thlina X-5.(shell melthod) rated

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Q: h(r, y) = h(0,0) = 0 3x2 + y2 (i) Prove that |h(r, y)| <ly

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Q: Evaluate ||/ Væ² +y? dV, where E is the region that lies inside the cylinder æ² + y² = 16 and…

A: Given :  The integral ∫ ∫ ∫E x2+y2 dV , where E is the region that lies inside the cylinder  x2+y2 =…

Q: 19.22. Find the value of the integral Sc[(z + 2)/2] dz, where C is: (a) the semicircle z = 2e", for…

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