tipswordlandon_969681_53706360_HW 10

a 3 pt rule get Iffittit o sty 1 6 deft s fifty 29.91 2127.17 123.4 0.09 10752 b 4pt rule Yi 3 4 2 Syntzy Str i 11 df 48 449 Syotzy 0,09 7.778 2 C Att At as 932 48.8 4113.41 512.12 0 order of error Ct 5 I Error is 9x smaller 6 f yt s flexi 1517 flsly Xi SAX fly 5Axf x SY fYx SAX

Step 1 Write out Taylor Series Expansion for each term fi 3 fi 3 Axf xi t I Axt xi tax f Xi FAX f xi To Axt's xi fi r fi zax f xi 2 Ax't xi I txt xi 31 4 f fi Ax Sf's Xi f i i fi A x f xi t Ax f Xi I AR f xi Ey sx4f Ai AX Sf's x f i ti fi tax f xi t A Xf xi the DX't Xi 141 4 Xi tax Sf's x Step 2 Add by terms in series fi 3 6 fi z tri l l of it fit sum Axt xi i 3 2 6 G iz I 3 0 i i step 3 Add up and combine to get the scheme Ip fi 3 Gf int 12 fit to fit fit Ip osx fit 61 7 xi 201 3 f ai 13.51 4714 xi tf E Ax't's scheme fi 3 bfizytyfi itofib.fi faqxytgyyy This method has quartic precision

a i 2nd order b 1 3rd order inpup Ii IVP P ii.gg pq donde it x iiildf fqer r.de

steps 4 At NO 74 16.34 Igt 43 Eco Tin Titkat 98444 348 gg Ts Tytkst 76.344.086110 15.48 b Tie The temp of the room dropped below rot 180C at about 28 minutes is to s I 1 I 1 f minutes 0 to 20 30 40