1 3. Let f(x, y, z) = Show that Vx2 + y² + z²° frx + fyy + fz2 = 0.

Q: .3 If U = 2– x, | x 2-xdx=

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Q: f(x,y)=(x/x+y). Find fxx,fyy,fyx.  Please help thank u

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Q: Find fzyr. f(x, y, z) = x³y5₂6 + xy³ + yºz

A: Given: fx,y,z=x3y5z6+xy3+y6z We have to find fzyx For fzyx we first have to find the partial…

Q: Consider a function of 2 variable f(x, y) = 2x³y² – 5x²y* + 3x³ – 4y³ af and Əx af Find ду

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Q: Suppose that f(z, y) = 10z²y² + 8z? + 2y? then find the discriminant of f.

A: We have to find the discriminant of the function of two variables fx, y. It is given that the…

Q: Show that 1 < arg (z).

A: Inequality - A statement of an order relationship—greater than, greater than or equal to, less…

Q: Let f (x, y) = Vy – 2x Evaluate f(3, 10)

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Q: Determine the expression for Fyz(x, y, z) given the function F(x, y, z) = 2x²y – xz? 3y z.

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Q: Let f (x, y) = 2x³ + 4y³ + 19xy Find D = frx · fyy - fey at the point (2,2)

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Q: the doi n ain of the functions

A: We have given two functions : f(x,y)=1xy…

Q: Suppose that f(x, y) = -2z4+3 zy2 + 3y2, z=rcos (t) and y=rsin (t). Find af af and (write your…

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Q: Let f(x, y) = x³ + y³ + 3x²y + xy + y². Find fæ, fy, fax, fry, fyy.

A: The given function is,

Q: (4xy) w = 3 sin (4xy tan (z) +4 In (5yz)- 8 e

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Q: 5 B) Find y" for the function y = x + Vx at p(1,3)

A: Given query is to find the double derivative of the expression at point p.

Q: Find fy for the function f (x, y) = yx³ – 2x²y³ y - y³ x³ - 6x²y² Option 3 y - 6xy² 3 _ 2xy® -…

A: Topic:- application of derivatives

Q: Find f if f(x, y) = 2y y+cos x 2ysinx y+cosx 8 ysinx (2y + cosx)² B ysinx y+cosx 4 2 !

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Q: Show that V₂ = C1 CiYt-i+1 is stationary

A: As per the question we are given a stationary process {Yt} having the acf (auto-correlation…

Q: r(2,4) Sa (2y+x) dx +(3x– y)dy} along the straight line x-2t and Evaluate J(0,3) y=P+3.

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Q: X+Z+3Siny X +2y-2

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Q: Determine the numerical value of F (2, 3, -1) given the function F(x, y, z) = 2x²y = xz² + 3y²z. y

A: The given function is ; F(x,y,z)=2x2y-xz2+3y2z.