If u = x+y+ z 19 (x2+y2+ z2)2 show that x ди ди +y +z- ду - Әх ди == дz 0.

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Q: Evaluate 35 + j71 А. О- В. —2: С. -2 D. -1· Е. 2.

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Q: f(x, y) = logy(3x) af ala ala дх ду ... --- --- --- 000

A: The given function isRewriting the given function,

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Q: 1000, 1000 20 40 40 - * - - - 100 100 v2 2040 40 '2040 20 40 -GM • M3 - 2000 , 2000 60 1 15 '15 5 60…

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Q: |고2 y 2리1- (y?-고2)(22 - 교2)(22 - y}) y 24 1. 1.

A: To show that

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Q: (3y-2 Jdy y+2y+17

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Q: Show that fu,, u,) is an orthogonal basis for R?. Then express x as a linear combination of the u's.…

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Q: hat is the dependent variable in y= -

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Q: general solution to

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Q: Differentiate. 5x - 9 +x3 3x +1 g(x) = gʻ(x) = D

A: Given  gx=5x-93x+1+x3 To do Differentiate gx=5x-93x+1+x3

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A: To solve the differential equation y'' - 9y' + 2y = 7e^7, we first find the homogeneous solution by…

Q: nd the x and y-intercepts: 7) 4x-5y 7 18) y = -x- 7 yn l0, ) you Co, I

A: Answer and explanation is given below...

Q: 81/ show that *if ve(Xジーズ) oif v=(

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Q: - y" - 5y + 4y= 2et

A: y'' -5y' +4y=2etThe general solution to axy''+bxy'+cxy=gx can be written asy=yh+ypyh is the solution…

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Q: Can (4,-2,4) be written as a linear combination of (1,0,1). (3,-4.1) and (4,-6,-2)?

A: We need to see if 4,-2,4 can be written as a linear combination of 1,0,1 , 3,-4,1 and 4,-6,-2 . We…

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A: 33. Given System   x-2y =4                                 2x-4y =5Here we solve each system by…

Q: express (7,-3,1) in linear combination of (5,3,9), (-3,2,0) and (6,0,-8)

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Q: 12 z² + \82c - 3

A: given function is solved with the help of differentiation rule i.e. Quotient rule (fg) = gf'-fg'g2…

Q: ди ди x====u+Yay ?х

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Q: 13x+30= (류,-1) and (-3,) 4. Find the equation that contains 7'3)

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Q: Find u - v, 2(u + 3v), and 2v - u. u = (6, -2, 4, 3), (-2, -1) (a) u - v = (b) 2(u + 3v) = (c) 2v -…

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Q: Two points that lie on the line 5x-3y = 15 are (3, 0 O (5, -3) O (5,3) O (0,5) 0 (0, -5)

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Q: Let аз +-(633) A and suppose that det A = 8. Determine det B if b3 B = a15c1a2+5c2 a3 +5c3 -3c1 -3c2…

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Q: 2. y=2 x - x+ 3 x' + x? + 5 - 2x- 3. y

A: solution:-(2) y=2x2-x+3x-1+x-2+5dydx=ddx2x2-x+3x-1+x-2+5     =ddx2x2-ddxx+ddx3x-1+ddxx-2+ddx5…

Q: Find of z = 2x° 5xy" + x¯ y dy2 -10ху + 3x? у? = -10y + 6xy²

A: To find ∂2z∂y2 of z = 2x3-5xy2+x2y3