knowing that f(x,y,z) =0 ,find dx/dz if (z=x+y) (dz/dx should be interm of fx,fy,fz)

Q: X- y – sin for its homogeneity. If it is homogeneous, give its degree. Test the function defined by…

A: For the solution of the problem follow the next step.

Q: xydx + (x^2+y^2)dy = 0 TEST FOR HOMOGENEITY OF DEGREE N: Let: F(x,y) = M(x,y)DX + N(x,y)dy…

A: Please see the below picture  detailed solution.

Q: Find a potential function for F. f(x,y,z) =

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Q: (f) T(x, y, z) = (x, 0, z); %3D (g) T(r, y, z) = (2.x, 3y, 52); (h) T(r, y, z) = (x, x + 2y, x +…

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Q: Find the moment of inertia about the x-axis and y-axis of the area between the function and the…

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Q: The order and degree of the differential d³y V dy equation: 7+ i. - dx3 dx 3, 2 7,3, 3, 1 3, 7

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Q: Halle F· dr, -yi +xj y x² + y2 donde F (x, y) = C* es la semicircunferencia x² + y? = 1 (y 2 0)…

A: We find the given line  integral using parametrization.

Q: Integrate f(x,y) = x +y over the triangular region with vertices (0,0), (7,0), and (0,7). The value…

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Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 100ex2 - 5y2 - 722 7z2 where T is…

A: Given equation is

Q: Find all the points where f(x, y, z) = Vryz[is differentiable. Justify your answer.

A: The function can be redefined as follows: f(x,y,z)=x·y·z, where x=xx≥0-xx<0; y=yy≥0-yy<0…

Q: Mediante la regla de la cadena encuentre dz/ðs y dz/ð. 7. z= xy°, x= s cos t, y = s sen t 8. z =…

A: According to our company;s guidelines, I can only answer first three subparts of the question, since…

Q: Compute dy/dx in terms of x and y. 20. Thermodynamics texts use the relationship az %3D ax az…

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Q: Separating the variables, xydx – (x + 2)dy = 0 →dx -dy = ( (1-) dx x+2 y - = 0 2 x+2, y

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Q: Outer radius 4y %3D Inner radius = y³ p(y) = 4y %3D q(y) = y³ %3D (8, 2) Interval of integration R…

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Q: find the moment of inertia with respect to a) x- axis b) y-axis of the area in the first quadrant…

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Q: f(x, y, z) = tanxy xy;f,(1, 2, -2) %3D

A: Dear student, since you have posted multiple questions, as per our policy we will answer first…

Q: CALC I | FIND AZTA of RELDON BOUNDED By Y=e, y=e^, x=1, x=2

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Q: xydx - (x^2+3y^2)dy = 0 TEST FOR HOMOGENEITY OF DEGREE N: Let: F(x,y) = M(x,y)dx + N(x,y)dy…

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Q: INTEGRATING FACTOR FOUND BY INSPECTION y(x*y² – 1)dx :+x(x²y² + 1)dy = 0 -

A: Given : The differential equation is y(x2y2-1)dx+x(x2y2+1)dy=0. To Find : The integrating factor…

Q: Integrate f(x,y) = x +y over the triangular region with vertices (0,0), (3,0), and (0,3). The value…

A: I take strip parallel to y axis in the region of integration

Q: f(z) = Cosz %3D ,0< Izl f(2) = sinz 3D 0< zl %3D f(z) = e-V, 0< Izl %3D

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Integrate G(x, y, z) = z2, over the hemisphere x2 + y2 + z2 = a2, z&gt;=0.

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Q: dx -- 2 = 3y - 2 when x = 1, y = 1 dy

A: the given differential equation is: ydxdy-2=3y2-2 it is given that when x=1,y=1 we have to find…

Q: u'+ y enx =0 differantial equartion find the %3D pardiculbr general soution. and

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Q: ди dt 00 dx2 ди u(0, г) — 0 %3DИо, %3D -h (u (1,1) — ио), һ>0, t>0 and u(x, 0) %3D f(x), 0<x<1. dx

A: We are given the following boundary value problem. k∂2u∂x2=∂u∂t,        0&lt;x&lt;1, t&gt;0u0,t=0,…

Q: f(x,y)= arcsin( x² +y² –1)+/x² +y² –1 fonksiyonunun tanım kümesi %3D aşağıdakilerden hangisidir? (0)…

A: Given, fx,y=sin-1x2+y2-1+x2+y2-1

Q: y(2x^2-xy+y^2)dx - x^2(2x-y)dy = 0 when x=1 ; y=1/2 TEST FOR HOMOGENEITY OF DEGREE N: Let: F(x,y)…

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Q: vi) J(y) = [(y," -y)dx ext, y,(0) = 2, y,(1) = 0, y (0) = 0, y,() 1, y, (0) 1, y,(1)=0

A: Solution 6: Given functional is J(y)=∫01y1'2-y2''2dx, y10=2, y11=0, y20=0,  y21=1,  y2'0=1,  y2'1=0…

Q: region in the xy-plane bounded by the curves y= Vx ,y=0 and x=1. (c) xy dV, where E is the solid…

A: We have to evaluate the triple integral ∭E xy dV over the region E, where E is the solid tetrahedron…

Q: F(x, y, z) = (x, xy²2, xz) Scap: r(u, v) = (u, v, (u² − 1) (v² - 1)), Slevel: Tlevel (u, v) = (u,…

A: As per the question we are given a vector field F along with its divergence i.e. div(F) And a 3d…

Q: 2. Integrating factors found by inspection.: y(x² – y² +1)dx– x(x² – y² – 1)dy = 0 %3D

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Q: y = Volume = s 1 x4' y = 0, x = 3, about the line y = -3 using the method of disks or washers. and x…

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Q: Peronve:- de of Giuen:- a - epper helf filare f(2)16 anatytic fan in d+ iB în -R R X ufper helf óf…

A: Consider ∫Cfzz-α2+β2dz=∫Cgzdz Where C is a contour as shown in the figure gz=fzz-α2+β2 Poles of gz…

Q: ppose z = f (x, y), where x = rs and y =r+s. Find zZrs in terms of fæ, fæx, fæy, and fyy.

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Q: fze [sin(3x)]-m(x, y, z), where m(x, y, z) = Part C. yz-1 %3D

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Q: ntegrating (a) with respect to x and (b) with respect to y. y = Vx, 1s xS 8 (a) Integrate with…

A: we have to solve

Q: 26. y = sinh x, y= e, x = 0, x= 2 27. y = Vx, y =;x, x= 9 28. y =x, y = 2.x², x + y = 3, x>0 II

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Q: Integrate the function H(x,y,z) = 2x2/37 – 12z over the parabolic dome z= 3- 3x - 3y2, z> 0. .... ||…

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Q: integral f (z+1) e^2z  dz

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Q: Using numerical integration to estimate the area of the semicircle (r=4 )and c(4,0) with n=4

A: Given data:- Use the numerical integration to find the area of a semicircle, r=4,   c(4, 0)     ,n=4

Q: The temperature at a point (x, y, z) is given by u(x, y, z) = 1001e-(2²+2y²+3z²)/10 where u is…

A: Calculate the unit vector connecting point (3,-2,1) and (-9,2,-2).…

Q: y(y+2x - 2) dax – 2 (x +y) dy = 0

A: We have to solve the given non-exact and first-order linear differentiable equation…

Q: e cos y 'cos y dy

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Q: R region Rbounded between circle (x – 1)2 + y² = 1, y = x and r-axis in the first quadrant.

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Q: The area of the region completely bounded by the curve y = the x-axis, and the line containing the…

A: The value of variable a such that area between the curve is 23/6.

Q: Using Separation Variable. 1.) dy/dx = (2-y)^2 / 2(1+x)^1/2 2.) In x dx/dy = 2 / xy^3

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Q: f(u, v) where и — x²y, v = and f is twice differentiable with Let z = fu(4, 2) = 4, f.(4, 2) = –5,…

A: concept used :  Chain rule of differentiation. Also,  u = x²y and v = x/y Therefore if (x,y) = (2,1)…

Q: Find solution satisiying the differ equation and the given initial condition. dy +2.xy = f(x), dx x,…

A: Given,      dydx+2xy=f(x),     f(x)=x,     0≤x&lt;10,     x≥1,    y(0)=2

Q: linear integration where product C:y = 2x, 8i Cr²+y)dx + (Zxy +3)dy

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Q: fsin 4ysin 2 ydy

A: Use the trigonometric identity, sin α sinβ=12cos(α-β)-cos(α+β) and write sin4y sin2y as…