Suppose we know that for a function f we have Vf(x, y) = (6x, 6). Find the directional derivative of the function f at the point (-1, 3) in the direction of the vector (3, 4).

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A: f1(x)=x, f2(x)=x2, f3(x)=4x-2x2g(x)=c1f1(x)+c2f2(x)+c3f3(x) we have to solve for g(x)=0

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A: We know Taylors series of f(x) about x=a is  f(x)=∑k=0∞f(k)(a)k!(x-a)k

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Q: Problem 2.1. Prove that V p() (0, 1). = {v € V(9): v(0) = 0}, is a subspace of

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Q: 2. Let's consider these three autonomous differential equations: 1. = y²-2y II. y' = y² + 2y + 1…

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