f(x,y)= xy + x²-y³-1=0 g(x,y)=x+2y-xy²-2-0 a) For x₁ = 0 and y₁ = 2 we have fx(x₁, y₁) = fy(x₁, y₁) = 9x(x₁.y₁) = gy(x₁, y₁)=

Q: Find ∂y/∂x1 and ∂y/x2

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Q: Find the point(s) on x=3-y² that are closest the point A=(1,0)

A: Our Aim is to find the points on x=3-y2 that are closest the point A=(1,0).

Q: y y (x₁, y₁) f'(x₁) = ? ******** y = f(x) = ? (x₁, Yi) X y = f(x) ४ ✓ Choose... Ordinary…

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Q: If f(x, y) = 1 then 3(3x–2y) * is given by: | O None of these 4 (3x-2y)3 (3x-2y)3 - (3x–2y)³ 4 -…

A:

Q: F(x)= 4x -8 x intercept.     (X,y)=.  (.    ) y intercept.      (x,y)=.   (.   )

A: Given:         f(x) =4x-8 This is in the form of y=mx+b is the equation of the straight line…

Q: f(x,y)= eaxy fxx = eaxy ·(24) ²₂ fxy = e² fyy = eaxy. (2x)² fyx = -2xy. 24 axy, fx = e fy= e 2xy.…

A:

Q: Given f(r, y) 3z - 4ry 6y, find f-(1, y) = fu(z, y) =

A: Given f(x,y)=-3x3-4xy3-6y5

Q: Find the value of fa and fy at (1, -1) when 4 f(x,y) =+5x²+3y². xy 1. 1- = 9, f = = -7 2 2. f= = =…

A: use partial differentiation for finding the solution.

Q: Let f(x, y) = = 160 - 2x² - 4y² For which value(s) of y is f(-3, y) = 7? y =

A: Given function

Q: Let f(x, y) = 2x - 4y + 7. Find the following. (a) f(3,-1) (b) f(-5, 1) (c) f(-5, -4) (d) f(0, 7)

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: The temperature is T(x, y) = (x-1)² + y² degrees at any point (x, y) on a triangular metal plate…

A:

Q: Given f(x, y) = 2x³ – 3xy – y³, find fxx(x, y) = fay(x, y) =

A:

Q: Let f(x, y) = 6x – 7y + 3. Find the following. (a) f(4, –1) (c) f(-5,-3) (b) f(-6, 1) (d) f(0, 7)

A: Consider: fx,y=6x-7y+3. Find. a) f4,-1 Substitute x=4 and y=-1 into fx,y=6x-7y+3 and solve to…

Q: For the function, evaluate the following. f(x, y) = x² + y² − x + 5 (a) f(0, 0) (b) f(1, 0) (c) f(0,…

A:

Q: Differentiate the function. r(t) = (3²- + 8)i + r'(t) = (6t)i + ( 132 r'(t) = i + (6t)j r'(t) =…

A:

Q: R= {(x,y) | X is the sister of y}

A: This is question of algebra Here set is given We have to find components of it Further calculation…

Q: If F(x,y,z)=x?y-y²z3 Then fz= -3y²z2

A: Given: fx, y, z=x2y3-y2z3

Q: Find ƒxx ( x, y)  and ƒxy( x, y). ƒ(x, y) = 4x2e2y

A:

Q: If f(x, y) then is given by: 7(7x-6y) 12 (7x–6y)3 12 - 3 (7x-6y)³ 14

A: we will partially differentiate the function twice

Q: f(x) = xª -4 and Perpendicular to the line x - 4y + 1= 0.

A:

Q: e-X f(x, у) %3D x2 + y2

A:

Q: 3x + 11y af If f(x, y) = then is : 3x – 11y dy - 66x (3x + 11y)² 66x (3x – 11y)² 66x (3x + 11y)2 66x…

A: Partial derivative

Q: f(x, y) = √4x² + 2y² fz(-4,-5) =

A: To solve the following problem

Q: F(X)= sqn (V+1)+Sgn(fx=1) find he Domin and range

A: F(X)=sgnx+1+sgnx-1

Q: Determine where the line y=6x +3 cuts y-axis A (-1,0) (-2,0) (+1,0) (-3,0) В (0,0) (0,–1) (0, +1) C…

A:

Q: If f(2) = (3z)²a² z+2/a find and simplify f(/@). %3D

A:

Q: Let f(x, y) = x²-2 y.(y+4)

A: We can compute the determinant.

Q: domain and range of f(x,y)

A: Given: f(x,y)=9-x2+y2 -42 To find: Domain and range.