Question

part a,b and c

Given. 9 cos(x2) dx Do the following. (a) Find the approximations Tg and Mg for the given integral. (Round your answer to six decimal places.) Tg = 36.581655 x Mg = 31.6967 X (b) Estimate the errors in the approximations Tg and Mg in part (a). (Use the fact that the range of the sine and cosine functions is bounded by +1 to estimate the maximum error. Round your answer to seven decimal places.) Els IEMS (c) How large do we have to choose n so that the approximations To and M, to the integral are accurate to within 0.0001? (Use the fact that the range of the sine and cosine functions is bounded by +1 to estimate the maximum error.) na for T. na for M. Need Help? Read It Watch It Master It Talk to a Tutor

Answer 1

as we have sacos (2) de let fins a acos(k) Interuals co.il no8 / - sub indervous are Co, o3, C4p748), C4p.318) --- [..] mid points are 7 / 5/16, 116, 116, 1/6, 1/6, 15/16 and dozo, na ... epal 7 trapizoidal roue eccorcaloro corpo (fenis) +fraj + .... fcred] to [ fcoltz frecveh t2fcoplan-2f cove) + fou] - 0.90233} - now Tp 2 Sacos (2) daa a[0.902333] Tg = 8.120997 Hidpoint rule? Scoscando a sx [flyd + f (olid+ - fc36] **[ feved + folie) + --- fond] 20.90560 How repo sacos (2) de 9 (0.905 620] (Mp3 8.15058

b) we have fella quos (1) f'(x) = -1p since"). 8) = - RT sim24ces *) - I fiicas I = 18 [soan + 22 cost] since osasi so, asi hence sinza cost of! Them (fikas |= 18 [142] = sa B lk 254 - by trapezoidal que (frls 2n2 allerls 0.8703125 - sa[i] a sy Els lecb-a) 12864 12[p] - Bg midpoint rule Touls keb-a)". TEMI 2 zucnit Suci) 24084) 0.035156

c) a know, kasu, azo, bal, naf - for tropitoidal toc Erkva 0-080 | sucil? 40.0001 12n" , 0.0001 n) 529 ) 2 Co-ooo) 160 212-13203 Midpoint rule sucil co.oool augh zu vers le moi novace.com وا ده ) | z op vote