Solutions THQ5 - MATH-1326-THQ_5 09:36(Printed First...

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Unformatted text preview: MATH-1326-THQ_5 , 2016-02-11 09:36 (Printed First Name) (Printed Last Name) (XXXOOOO Net ID > (First Letter of Last Name) (001 T 501) Section Penalty Instructions 1. Fill in the requested information on the line above. 2. This handout is due at the beginning of lecture on Tuesday (02—23—2016). One point penalty per minute late. Submit right away, don’t wait for the end of class! THQ with missing name will receive 10 points penalty. 3. This handout must be printed out and. You may print it single sided or double sided. Failing to print costs 10 points. 4. This handout must be stapled. Failing to staple costs 10 points. 5. Your work must be hand written on this handout. 6. You must Show all work. You may receive zero or reduced points for insufficient work. 7. Your work must be neatly organized and written. You may receive zero or reduced points for sloppy work. 8. Only a subset of these questions will be graded. You will not be told which questions will be graded in ad— vance. Due Date: Tuesday, 02—23—2016 Page 2 of 7 MATH-1326-THQ_5, 2016-02-11 09:36 Problem 1 F ind the area of the region bounded by the graph of the function f(:v) = fl, the g(x) = fL' and the lines x = 0 to x = 2. aid—:9; UU‘MW" i 0 t 4/ 72' 1L7 :g/NL’4\AN+ §1(/\F “Nu/\A/y J 3/2 N1 243/; 7’- , M “A + '2' a f "—7: L 0 2‘ ‘ \2 1 Jr W21 Mill) (L319) '= j‘z‘k K3" “'3” L 7) : ifi— + hilfihd‘i’flfl b (a % Egg e e (a (a ; :hdf: (a Q a C9 : 7v+JL Page 3 of 7 MATH-1326—THQ_5, 2016-02—11 09:36 Problem 2 Evaluate each of the following integrals. (a) /(4:13 — 2)e2mda§ z: 4,!“ _ Z” A u 1 cw :2 5M v 2.. , 1A} *L/‘AL ‘2»! _ 2/31 : baé:flm:,2;§ w. l \f +1 (d 2 2—— :Mé” - 7” —- a” 3+1 {5) 3 ,l M. $114 1!? +¥ /a:71n:cd:z:\\ w 2 A71 6/: "’ 2 Uri-‘9 u: [9W cm: V} f 158’“ at ~ 1» K ma Al7 \fr 3 :1: W % “’r M 1mm. Gigi. M N— 1;qu aid v ' % A? a ’l -: Nglwl‘m’ a? (‘5 g . 2: &”\H(N\)“ e‘s/Cy $5 ‘30 Page 4 Of 7 MATH-1326-THQ_5, 2016-02-11 09:36 Problem 3 Evaluate each of the following integrals. (a) § /(32:2 —4)e(5$"7)d$ m 5) (b) Page 5 of 7 MATH-1326—THQ_5, 2016-02-11 09:36 (6) “5320.9” 4 Jun“: 26“ I :: “‘3de L \v we 7 "{7‘“ ZoiS’ j “’ZL’J? ,. 4’20” (q “K”? "Mg, M _ (8/ . Problem 4 Evaluate each of the following integrals. ss“ ,a (a) } \, ‘LL: :3 "L"? /1n(3$+4)dx a “jg-3191 LL aim dz“ : got/7L Page 6 Of 7 MATH~1326~THQ_5, 2016-02—11 09:36 {5) Problem 5 (it) Find the volume of solid of revolution formed by rotating about m—dmis the area bounded by y : : V3332 + 63: + 12, m-axis, :2: = —2 and ac : 1. (7 Page 7 0f 7 MATH-1326-THCL5, 2016-02-11 09536 (b) Find the volume of solid of revolution formed by rotating about :c—axis the area bounded by y = f(a:) = e”: + 1, w-amis, a: = —2 and a: = 1. (Final answer may be kept in terms of various powers of ”e”.) l I IL L z (4 V ’2 +l3 (A: 4/26 "’3 .261; ,L L 2 / l . (6144'2614 + #7, W 2 a * ~ Warm-ye *3 7, ’f’ l 1‘, IL. : fl” L’HZQ +43 «7» 6 e Z a 4 "7/ I .‘V _42 .' 9" EJ, 28 bl’QP-l'ze’ rt?) Problem 6 ((1) Find the average value of f = 111x on [1,e]. {Final answer may be kept in terms of various powers of ”e”.) l) Value 1*: 8 M/¢\ UK ,7]; 0. 2": . ‘M M a .V/’\ _\ )WJ‘ _ ak’mewci <.—— sc+1 (b) Find the average value of : fl on [1,4]. l ['9 NH A ‘ LL 9—— ” . 1: Lb " l I \l A, 3 i. ...
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