{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Math 31B midterm1 solution

# Math 31B midterm1 solution - 1 Evaluate the following...

This preview shows pages 1–6. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1. Evaluate the following integrals: ! 2 1': sin; : _ a.'[11}1—xd.r b. In c. Intanlxdrv 1. I —l . - ‘If-‘h 9'. Mt A’M’W. 71“” {F'flxvﬁk : fur/Mist :f-lL-lﬁj'f i " --r r f : E: Mfzi'f; [E r 52 “It. A, Le?’ Mr W- 2. Evaluate these integrals. [Don't forget the constant.) 1 = 7 1' mm a‘ {buggy 3 Egli '{MMjf 5 75401;): ___, fulﬁl}: f‘fmﬁi “T “'35-— : v __ {-sz +ﬂrlrgoxf +6 If 3- 3. Consider the curve given by the equation y - f(1)- '3 + e- For anya :0, ﬁnd the length ofthe Curve from x 2-0 to .r n a. [Note that the quantity you get under the square root sign simpliﬁes conveniently] Show that your answer Is equal to f’La). J: EX; ‘3? 1-!- 2 ' y: 0 : :Léiﬁ; 2 , 548—»: f 2 (a /’A’ 4. Show which of the following improper integrals diverge and which converge. 1f convergent, evaluate it. a. fIJDOXc'd-I b. c £2“{1-x)dx M -mby J i -' . #4 #395714} Jr“- 4:{ x WJ’MW —-,m’ .‘ L. 0:1,. I! {Minx x '1 M f“); £45; * Marv max ﬁg Mwm/%%g)aav LWE#J aggﬂwiwx I 1 If f If C' [ E—VJ'W/v = ELEM?!» iifm/‘J 5‘ I -06 I .. - I , : -' Jr at l. '4‘. 5% e fer/w em I“, 8 I” . :gﬂmémé” awmﬂ%r - lV—pop .-d/ 5. Use Simpson’s rule to approximate the following integral with N=4z [3:3 + 2x + aux. Then ﬁnd an N sufﬁciently large so that the ermr bound 515;) will be less than 10" __ ,4; _, a ‘ #. Ant-‘45 gfjr2.[ﬁr¥%a% *:-7::-;’H J 5:3 : m) g: :2) g r" 7/; fi Wer HM +537 'b:m.'%/rj -“-' 3;“: 211?}; ‘ V9 “W ‘4‘” h M Ma Far Hi: (“Y/W“ aﬁﬁ'mﬂéé 55. 5.1L; 5” MWN 53742;" M: Q Mi gal mol/ jg. maﬁa/7’5,ng— ‘— am; g 5352, +3 a‘Tg—g ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 6

Math 31B midterm1 solution - 1 Evaluate the following...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online