)In Exercises 1-4, find the gradient of the function at the given point. Then sketch the gradient together with the level curve that passes through the point. 1. f(x, y) = y - x, (2, 1) 2. f(x, y) = In (x + y²). (1, 1) 3. g(x, y) xy, (2, -1) 4. g(x, y) = 21 2' (V2. 1)

Q: Here is the contour plot of a differentiable function f. 2- (a) Evaluate f(2, 1). (b) Estimate fa(2,…

A: (a) Since the contour line which passes through point 2, 1 has a corresponding value 3. Therefore,…

Q: (c) Vf(x, y, z) = (2xy, x² – 2yz, 4 - y²) -

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Q: Compute the gradient of the function at the given point. f (x, y, z) = In(x² + 7y - 3z²), (7,7, 7)…

A: option (b) is correct

Q: choose any quadratic formula

A: If you have any help please let me know in comment box and then I will help you.

Q: Find the gradient of the function f(x,y) = 10y - 2x at the point (2,9). Then sketch the gradient and…

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Q: Consider the level curves for F (x, y) = x² - y². 2 y 1 2 X (a) How do we sketch in the gradient…

A: The given level curve is: Fx,y=x2-y2. We know that the tangent vector to the level curve Fx,y at a…

Q: Find the gradient of the function f(x,y) = √√2x+4y at the point (-2,2). Then sketch the gradient…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of Q. g{x,…

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Q: Find the gradient: f(x, y) = 3x³ - 4x²y + y² at (1,-1)

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