Find the tangent plane to f(x, y) = Vx² + y² at (x, y) = (3, 4). Use the tangent plane to approximate v41 by evaluating the tangent plane (x, y) = (4,5). How does this compare to the actual value? Illustrate with a diagram. (Screenshot of Geogebra recommended). Bonus: For what values of x and y does this tangent plane approximation give an exact value? (Can earn up to one bonus point. Do not post solution on Piazza for the bonus.)

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A: Please see the below picture for detailed solution.

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