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3. Consider the function f(x,y) = 4 + 2x - 3y - x2 + 2y2 -...


3. Consider the function f(x,y) = 4 + 2x - 3y - x2 + 2y2 - 3xy. a) (5 pts.) Calculate the partial derivative functions, and u
3. Consider the function f(x,y) = 4 + 2x - 3y - x2 + 2y2 - 3xy. a) (5 pts.) Calculate the partial derivative functions, and use them to calculate the gradient vector evaluated at c = b) (5 pts.) Write down the affine approximation to at the e given in a) /(x) = f(c)+ Vf(e)'(x - c) . Use it to calculate (1.1, 1.1). (Hint: it should be close to f(1.1, 1.1))
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2 4+2x- 8y-x2y- 3xy 34y ay 2 2x - 3y -3x the gadien of f े is 2-2x-3, 3+4y-3x () -3 Vf(C) 2-1-3, -3t4-3 K-3,-2) - 2 Nos f(c)

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3. Consider the function f(x,y) = 4 + 2x - 3y - x2 + 2y2 -...
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