f(1, 1) = f₁(1)f₂(1) f(1, 2) # f₁(1)f₂ (2) for x = 1, y = 1,2 then x and y are: dependent O independent O

Q: 2-y'-1 x-1 3 If f(x, y) = ,x + 1 ,x = 1 then f, (1,0) – 2f:(1,0) = x3 -y3 -1 If f(x, y) , X 7 1 x-1…

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Q: true or false :  There exists a function F of two variables x, y such that dF = (x − y)dx + (x +…

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Q: x?y x² + y² Define the function f: R² → R by ƒ(x, y) = if (x, y) # (0,0) if (x, y) = (0,0) (a) Let e…

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Q: Em f(x) is equivalent to g(0) when f= x O True and g(x)=x O False

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Q: The range of the function f (x, y) = 4 – 4 – x² – y² i - [2, 00) (-0, 4 (-∞0, 2 [4, 0) [2, 4]

A: Here, the given function is: f(x,y)=4-4-x2-y2 Here, the maximum value of 4-x2-y2 is 4=2 and minimum…

Q: 4. Determine u(z,y) and v(x, y) from the function f(z)=ze²

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Q: f(X1,X2)= f(X,).f (X2) If X,~N(H1,0) X2~N (H2,0) are not independent then ylgn ihi

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find fry when 1. fxy 2. fxy 3. fxy 4. fxy f(x, y) = (x+2y)exy. = - (2 − xy)(x + 2y)exy (2 +…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: (3) Let X = n(µ,4) and Var(2x) = E(4-7x) find u.

A: Given,X~n(μ , 4)

Q: Determine fr and fy from f(x, y) = x³ + x²y + xy² + y³ ○ fx = x + xy, fy = x + 2xy ○ fx = x² + xy,…

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Q: xy(x² – y²) if (x, y) # (0,0) Let f(x, y) x2 + y? Show that fi(0, y) = -y for if (x, y) = (0,0) all…

A: Here, the given function is: f(x,y)=xy(x2-y2)x2+y2, if x,y≠(0,0)0                  , if (x,y)=(0,0)…

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

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Q: Suppose that y is a function of u, u is a function of x, and u = -1 when x = 2. If du/dx|x=2 = 3 and…

A: Solution

Q: Find the equation in standard form (ax+by+cz=d*, where a, b, c, and d are integers) of the plane…

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Q: What is the point of intersection for f(x) = 2* and g(x) = A (1,) (0,1) C (1,0) (2,4)

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Q: 1. Let f(x) = x² + 1. %3D (a) Compute f(0), f(-1), f(1/2), and f(/2). (b) For what values of x is it…

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Q: Let R(s, t) = G(u(s, t), v(s, t)), where G, u, and v are differentiable, and the following applies.…

A: Given that  where G,u and v are differentialblle functions

Q: Which of the following are functions from.16 ?the set of real numbers to itself fi = ((1,x): x E R)…

A: Given: The relations from set of real numbers to itself as f1=1,x : x∈Rf2=x3,x : x,y∈Rf3=x,x :…

Q: Let sin(3x4 + 6y5) if (x, y) # (0,0) f(x, y) x² + y4 if (x, y) = (0,0) Which of the following…

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Q: Find all values of x and y such that f (x, y) = 0 and fy(x, y) = 0 simultaneously. f(x, y) = x² +…

A: The given function .The aim is to find all values of  and  such that .

Q: The interval over which the function f(x) = becomes continuous is %3D x+8 (-3, 0) (-3, 3) (-00,…

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Q: f(1, 1) = f₁(1)f₂(1) f(1, 2) # f₁(1)f₂(2) for x = 1, y = 1,2 then x and y are: dependent O…

A: Since we know that  If x and y are independent the it must satisfy the following condition f(x,y) =…

Q: Choose the correct answer If f(x,y)=x2+2y2, then fx(2,1) and fy(2,1) are...  fx(2,1)=5, fy(2,1)=5…

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Q: (ii) Suppose z = f(x, y), where x = g(s, t), y = h(s, t), g(1,2) = 3, gs (1, 2) = −1, gt(1, 2) = 4,…

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