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Question 1

5 points

Let f(x, y) = ln(1+x+8y). We can Use Taylor's Theorem to show that for x ≥ 0, y ≥ 0

we have

R1,(0,0) (x, y)| ≤ K(x² + y²)

Find the smallest value of K that would make the statement above true.

K = Number

[5 points]

Fig: 1