# Question 1- Find the secondβorder Taylor formula for π(π₯,π¦)=(9π₯+8π¦)^2 at x0=(0,0). Note that β2(0,π‘)=0 in this case. (Use symbolic notation and fractions where needed. Give your answer in the form of π(β1,β2)=f(l,m) where l=h1 and m=h2.) Answer: π(π,π)= 2-Find the secondβorder Taylor formula for π(π₯,π¦)=8sin(π₯π¦)+2cos(π₯π¦) at (0,0). (Use symbolic notation and fractions where needed. Give your answer in the form of π(β1,β2)=π(π,π) where l=h1 and m=h2.) Answer: π(π,π)=f(l,m)= ....... + β2(0,π‘) 3-Let π(π₯,π¦)=7sin(π₯π¦)β9(π₯^2)ln(π¦)+8.. Find the degree 2 polynomial, π, which best approximates π near the point (π2,1). (Use symbolic notation and fractions where needed.) Answer: π(π₯,π¦)=

1- Find the second‑order Taylor formula for 𝑓(𝑥,𝑦)=(9𝑥+8𝑦)^2 at x0=(0,0). Note that ℝ2(0,𝐡)=0 in this case.

(Use symbolic notation and fractions where needed. Give your answer in the form of 𝑓(ℎ1,ℎ2)=f(l,m) where l=h1 and m=h2.)

2-Find the second‑order Taylor formula for 𝑓(𝑥,𝑦)=8sin(𝑥𝑦)+2cos(𝑥𝑦) at (0,0).

(Use symbolic notation and fractions where needed. Give your answer in the form of 𝑓(ℎ1,ℎ2)=𝑓(𝑙,𝑚) where l=h1 and m=h2.)