O f(x, y) = x² + y² R = {(x, y) | on 0≤x≤1, 0≤ y ≤2-2x}

Q: Suppose  f ( 200 , 300 ) = 1000and ∂ f ∂ x ( 200 , 300 ) = 12 and ∂ f ∂ y ( 200 , 300 ) = 10.…

A: Given, f(200,300)=1000 ∂f∂x(200,300)=12∂f∂y(200,300)=10

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

A:

Q: Is g = {(x, y) ∈ [−5, 5] × R : x^2 + y^2 = 25} a function from [−5, 5] to R.

A:

Q: Determine the global extreme values of the f(x, y) = 10x – 2y if y ≥ x - 3, y ≥ -x - 3, y ≤ 5.

A: To find the global extreme values of the function f(x, y) = 10x - 2y with the given constraints, we…

Q: az əz If z= f(x,y), where x = (s+1) , y = (s- t). Then Əs at

A:

Q: 2. F(x, у) %3D — (у i-2x) y2

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: If f(x, y, z) = excosy + z, show that fxx + fyy + fzz = 0

A:

Q: arctan dA Xx Calculate where R={(x, y) / x² + y² ≤ 4, x² + y² ≥1, y ≤x≤ 0}

A:

Q: (lx) +3, x≤-3 Q4) Check the continuity of f(x) = -2x -3<x<3 " (6x + 2, x ≥ 3

A: To check the continuity of given function,

Q: Calculate ffs f(x, y, z) do For Sfs f(x, y, z) do = x² + y² = 16, 0≤z≤ 9; f(x, y, z) = e

A:

Q: 2. If F(x, y, z) = 2z3 – 3(x² + y²)z, then verify that Frx + Fyy + F2 = 0. %3D

A:

Q: xy* Let f (x, y) = if (x, y) # (0,0) and f (0,0) = 0. (a4+6y8)

A:

Q: Let f(x, y) = e²x* %3D Evaluate f(3, 5)

A: Given :   f ( x, y) = exy x4   point ( 3,5)

Q: 1. Given f(x, y) = x' + y* find and ax?' dy' axðy дудх 2. Find whether the function F = (r² – y' )i…

A:

Q: Show Vx Vy[p(x, y) → ¬p(y, x)] E Vx¬p(x, x)

A: Please check the answerin next step

Q: P = (x, y) = x + 4y ≤ 13 3x + y ≤ 6 x ≥ 0, y ≥ 0.

A: Let us first find the feasible region.

Q: Suppose that x and y are two positive real numbers so that x + y = 10. Maximize the product xy

A: To find the solution of the given problem use the second derivative test. Second derivative test:…

Q: Which graph corresponds to the function given? h(x) = {x², x 1

A: Here we have to draw the graph of the function.

Q: 12. Let f(z,y) = < then f(1,2) = (b) 글 (d) 금

A: Given :fx, y=x-yx+y-1

Q: f(x, y) = V 2 2 3x² + 4y²

A:

Q: Let f(x) Find f(-4) = Sx² +5 (5x2 +5 कर x < 1 x ≥ 1

A:

Q: - Find V x+y `

A: Given that, fx,y=x+yx-y We have to find ∇f. We know that, ∇f=∇x+yx-y=∂f∂x,∂f∂y

Q: Find V x (V x F) if F(x, y, z) = 5xyj+ 9xyz k. V × (V × F)

A:

Q: Let f(x, y) = (5x – y)*. Then %3D дхду Эхдудх dx² dy

A: Partial derivatives: It is a derivative of a function of two or more variables with respect to one…

Q: f(x, y) = 4x2 + 2y? f-( – 3, 1) = Preview

A:

Q: Suppose that f(x) = βx2-3     if x≤2                                   βx+2       if x &gt; 2…

A:

Q: Calculate ffs f(x, y, z) dS For ffs f(x, y, z) ds = y=5-2², 0≤ x, x ≤5; f(x, y, z) = =2

A: To find :- for ;