Prove that v = In [(x-2)^2 + (y - N)^2] is harmonic in every region does not include .the point ( 2, N) the find U

Q: Estimate the area under the line y= 2x+1 using six rectangles and right endponits over the interval…

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Q: 5) (x- 4)² + y² = 9 Center Radius

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Q: Show that f(x)= -1/(1+x^2) is pseudoconvex please check also the attached picture

A: Let f:S→ℝ be a differentiable function and S be a non-empty convex set in ℝn, then f is pseudoconvex…

Q: Construct a clamped cubic spline passing through the points 9, 13 and 22 with fx=x3+1

A: f(x)=x3+1y0=f(9)=730y1=f(13)=2198y2=f(22)=10649 Here h0=4h1=9 For given set of points (x, y) that is…

Q: Q1 Find thr relative maximum and minimum of: fx, y) = x² + y² + z?given that 9x? + 4 y² + 2z? = 36…

A: Consider the provided question,  minimize and maximize, fx,y,z=x2+y2+z2                        ....1…

Q: 3-) Find the pointls) to point Az(d,0) on x-3~y2 that are closest メ=2 25 +1,5 0.5 + - -ロ5 + 8.5 to…

A: here we have to find the point on the curve x=3-y2 that are closest to point A(1,0) let point is…

Q: Verify the orthogonality condition of each of the equations y" - 2xy' - 2ny = 0 11 ( where n is a…

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: irst part of question is that Find the locus of a point such that the sum of its distance from the…

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Q: a) f(z) = vz+Vz - 1 b) f(z) = Vz2 +9 %3D

A: A branch point of an analytic function is a point in the complex plane whose complex argument can be…

Q: Determine the types of singularities of the function f(z)=1-e^2z/z^4

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Q: 1 f(z)=- (r+,2) +4)

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Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: 2. Show that z^2 is one-to-one in a domain D if and only if D is contained in a half-plane whose…

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Q: -}]-=[}]»=[}- [] 3 Find Let vị = and p = 3 a hyperplane [f: d] (in this case, a line) that strictly…

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Q: Please help me prove this: Suppose x, y ∈ R. Prove that if 3x^3 + 21y = 3y^3+ 21x, then x = y or…

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Q: the sum of the distances from (x,y) to (-1,0) and from (x,y) to (1,0) is 4. show x and y is related…

A: Distance from (x,y) to (-1,0) is:  Distance from (x,y) to (1,0) is:

Q: you know that a sphere has the equation of  x^2 + y^2 +z^2 -6x +4z =3 are the following points…

A: The equation of sphere is:-Now add 9 and 4 both side:-

Q: (6. Consider the functran fa)=x² to Draw tronsfomue tim -f(x-2)-1 b for the quadratse equation…

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Q: Q1 find acubie palonemiat ofk given-points for27,3},(2,12)e

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Q: If Fu,y, z) = xzi + xyzj =ý k, find v.È %3D ........

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Q: Derive a cubic spline with natural boundary condition using the following points: (−2, 1), (0,0),…

A: Sol:-] To derive a cubic spline with natural boundary condition, we need to find the cubic…

Q: √x X² 2x-1 dydx

A: The objective of the question is evaluate the double definite integral.

Q: QUESTION 6 Let fo(x) = nx2 +5 for neN and x ER 4n +3 1. Show that (f.(x)) converges uniformly on [ -…

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

Q: 0(0,0). U(0,3), A(5,3), and D(5,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0)…

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Q: nd meets the uses at A, B and C. Show that the locus of the point of i lanes through A, B and C…

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Q: Find the particular number of orthogonal transectories of x2+cy2=1 passing through the point (2,1)

A: Given equation is x2+cy2=1........1. We have to find the particular number of orthogonal…

Q: If V=R\power{3}, and W\index{1} is the xy plane and  let W\index{2} is yz-plane:…

A: Let (a,b,c) be any element of R3, then (a,b,c)=(x,y,0)+(0,y,z)=(x,2y,z) ⇒a=x, b=2y, c=z ⇒a,b,c∈R ⇒…

Q: x2 = 2 In(x +2) %3D

A: The false position method (also known as Regula-Falsi method) uses the formula:…

Q: 3 Show that the planes, x-2y+4z-13D0 and 3x-6y+8z=5, if so, find the distance * .between them…

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