Question: Question 1 w} 13(3) Hr : Cl for a function f in nvariables Suppose P is a polynomial in n 1I.I'arial:I|es so that rm :19

Question 1 w} 13(3) Hr : Cl for a function f in
Question 1 w} 13(3) Hr : Cl for a function f in nvariables Suppose P is a polynomial in n 1I.I'arial:I|es so that rm :19 H1. H1; _ a. of class COG on some open set containing it. Which of the following statements are true? 0 The degree of P must he at most N. D The degree of P must be exactly N. O The degree of P must he at least N. D For all a e N\" with |a| 5 N.wc have 3am] : Elam }. CI For all 0: E N\" with lal E N.we have B\"f[a:| = B'JPI: 3. Question 2 1 pts Let f : R2 } R be ofclass C4. Its 3rd Taylor polynomial at [0, D) is given by P3(:I:,y] Z3+33+4y+232+33y+792+2$3 +m2y+9y3 Compute the determinant of the Hessian matrix HU, U]

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