where 9. Use the chain rule for multivariable functions to find f(u, v) = u + v, u(x, y, z) = x+y, and r(x. y, z) = -y %3D

Q: S (x, y)= I+x* + y? 1-x² - y? 2. Determine the points at which the function is continuous.

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Q: f(x, y, z) = x – Vy² + z

A: Take the partial derivative ony by one with respect to x, y & z considering other as constant at…

Q: g(x, y) = 2x² − 3y², (√8, √5) - Gradient is f(x, y) = tan Gradient is -1 ¹(). 9y (1,8)

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Q: Is the function f(x, y) = ||x| - |y|| - |x| - |y| differentiable at (0,0)?

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Q: 9. Use the chain rule for multivariable functions to find where f(u, v) = u + v u(x, v, z) = x+y,…

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Q: Exercise 4. Show that the function f is not differentiable at (0,0) f(x, y) = x³ + y³

A: We have given that ,  fx , y = x3 + y33 Here , ∂f∂x = 3x23x3 + y323 ∂f∂x = x2x3 + y323 At , x , y =…

Q: evaluate the function at the given point. f(x,y)=x2+y2, D={(x,y):0<=x<=1, 0<=y<=1}

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Q: Let F(x, y) =x2+xyz+z , find at the point (1,1,1)

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Q: Suppose X1, X2 ∼ Unif(0, 1) and are independent. Let Y = min(X1, X2). Find fY (y).

A: We have given that X1,X2∼U(0,1)Objective :To find the  PDF of Y=min(X1,X2)

Q: Let f(x, y, z) = x² + yz, g(x, y) = y³ + xy. Use the chain rule to find the derivative of the…

A: As you don't want handwritten answer, I have used LaTeX.

Q: 2 x' +y' x(y² –1) b. Find the points in R where f (x, y) = is continuous.

A: b. Consider the given function fx,y=x2+y2xy2-1. The above function is observed to be rational…

Q: me please: Suppose X1, X2 ∼ Unif(0, 1) and are independent. Let

A: We have given that X1, X2 ∼ Unif(0, 1)

Q: Use Green's Theorem to evaluate F = (xy + y²)i+ (x – y)j | (1, 1) x = y² y = x² (0, 0)

A: we have to evaluate the following by using greens theorem

Q: Show that the function f(x, y) = x² + 2xy is differentiable at any point (zo, yo).

A: Given function fx,y=x2+2xy The sufficient condition for differentiability If a,b be a point of the…

Q: For the function f(x,y) = 6 of find and 8x+3y' dx dy

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Q: Find fx and fy for f(x,y) = y In (x + 8y). || fy = y x+8y

A: Step 1: Step 2: Step 3: Step 4:

Q: q2-  91.2% of 1980 is: Select one: 18057.6 180576 180.576 1805.76 18.0576

A: We are asking to find 91.2% 0f 1980

Q: Consider the function: f (x,y) = 2x² - 4x - xy² + 2y² - 3. Explain and then use the chain rule for…

A: The given problem is to find the small changes to estimate the change in the function f(x,y) that…