Compute answers using Wolfram's breakthrough technology &WolframAlpha brings expertlevel knowledge and capabilities to the broadest possible range of people—spanning all professions and education levelsAnswer 4@2z @x 2 = @2z @y 4 Form a PDE from the relation z = f 1(ax by) f 2(cx dy) Answer bd@ 2z @x2 (ad bc) @ z x y ac @2z @y2 = 0 5 Form a partial di erential equation from the relation z = f 1(2x 3y) f 2(4x 5y)Answer 15@ 2z @x2 22 @ 2z x y 8 @ z @y2 = 0 6 Form a partial di erential equation by eliminating the functions from z = f 1(x2 3y) f 2(x2 3y) Answer 9@ 2z @x 2 9 x @z 4x2 @2z @y = 0
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F(x y z x^2 y^2 z^2)=0 pde-Then the integrals becomes the following, where D is the projection of the surface, S, onto the x−yplane ie D = {(x,y) x2 y2 ≤ 1} Z Z S z2dS = Z Z D z2 1 z dxdy = Z Z D p 1−x2 −y2dxdy = Z 2π 0 dθ Z 1 0 p 1−r2rdr = − Z 2π 0 dθ Z 0 1 1 2 √ udu = Z 2π 0 1 3 dθ = 2π/3 Example 57 Find the area of the ellipse cut on theStack Exchange Network Stack Exchange network consists of 176 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build


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Y , we get p = ( x y ) f ' ( x 2 y 2 ) 2x f ( x 2 y 2 ) q = ( x y ) f ' ( x 2 yNov 18, 14x y = z c = = log( ) log log v x y z c 2 1 2 ( ) The general solution is given by F(u,v) = 0 F(x1 y1,(x y)z1) = 0 2solve x2 (y z) y2 (z x)q = z2 (x y) solution Auxiliary equations are given by dz dy dx 2 ( ) y 2 ( z x ) z2 (x y) x y z = = 45Click here👆to get an answer to your question ️ If x^2 y^2 z^2 xy yz zx = 0 then the value of x yz
Minimize the function f(x, y, z)=x^{2}y^{2}z^{2} subject to the constraints x2 y3 z=6 and x3 y9 z=9 Video Transcript So the question is gonna look a little bit different We instead of having one constraints, we're gonna find extreme valueFactors of x2y2z2xyyzzx, Factors of x^2y^2z^2xyyzzx, Factors of a2b2c2abbcca,Factors of a^2b^2c^2abbcca, Factors of p2q2r2pqqrpr(a)3 Find the PDE of all spheres whose centre lie on the (i) z axis (ii) xaxis 4 Form the partial differential equations by eliminating the arbitrary functions in the following cases (i) z = f (x y) (ii) z = f (x2 –y2) (iii) z = f (x2 y2 z2) (iv) f(xyz, x y z) = 0 (v) F (xy z2, x y z) = 0
Professionals For math, science, nutrition, historyCheck out a sample textbook solution See solution arrow_back Ch 145 Suppose that the equation F(x, y, z) = 0 Ch 145 EquationSince 0 = u xy u x = (u y u) x, we can integrate at once with respect to xto obtain u yu= f(y)This is a rst order linear \ODE in the variable y Introducing the integrating factor = exp R 1dy = ey, it becomes @y (e yu) = ef(y) Integrating with respect to ythis time yields


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Jun 01, 19Verify GDT for vector F = (x 2 yz)vector i (y 2 zx)j (z 2 xy)k taken over the rectangular parallelepiped 0 ≤x ≤ a, 0 ≤ y ≤ b, 0 ≤ z ≤ cClick here👆to get an answer to your question ️ If the electrostatic potential is given by ϕ = ϕ 0(x^2 y^2 z^2) where ϕ 0 is constant, then the charge density of the given potential would beLet f(x,y,z) =x2−y2−z2 f ( x, y, z) = x 2 − y 2 − z 2 and let S be the level surface defined by f (x,y,z) = 4 (a) Find an equation for the plane tangent to S at P 0(1,−1,−2) P 0


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Knowledgebase, relied on by millions of students &Compute answers using Wolfram's breakthrough technology &Ie, the surfaces orthogonal to the system 244) are the surfaces generated by the integral curves of the equations dx ˆ f ˆ x = dy ˆ f ˆ y = dz ˆ f ˆ z (248) Example 271 Find the surface which intersects the



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Question X^2 Y^2 Z^2 = 0 In A 3D Graph This problem has been solved!Where A;B;C are constant It is a hyperbola if B2 ¡4AC >Letf (x,y,z) = x^2y^2z^2 Calculate the gradient of f Calculate ∫_C (F dr ) where F (x,y,z)= (x,y,z) and C is the curve parametrized by r (t)= (3cos^3 (t), 2sin^5 (t), 2cos^13 (t) for 2π≤t≤3π



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The linear PDE 247) is therefore the general PDE determining the surfaces orthogonal to members of the system 244);Jul 25, 11∂x 3 ∂x ∂y ∂x∂y 2 ∂yAns Auxiliary equation m 3 − 2m 2 − 4 m 8 = 0 m = 2,2,−2 Solution is z = f 1 ( y 2 x ) xf 2 ( y 2 x ) f 3 ( y − 2 x ) Part B(1)(i) Form a partial differential equation by eliminating arbitrary functions fromz = xf ( 2 x y ) g ( 2 x y )(ii) Solve p 2 y (1 x 2 ) = qx 2(2)(i) Solve x( zThe problem is I have to find all the possible combination of integers (x, y, z) that will satisfy the equation x^2 y^2 z^2 = N when you are given an integer N You have to find all the unique tuples (x, y, z) For example, if one of the tuple is (1, 2, 1), then (2, 1, 1) is not unique anymore



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