Test 2 Solutions - TEST 2 (MATH 200 (A), Fall 06) 1....

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Unformatted text preview: TEST 2 (MATH 200 (A), Fall 06) 1. Evaluate the following integxal: g2 sin 66 cos 26 d0 . ' (l0 pts) f" q . . l» , f V . _b r 5 f ,. ~“ 4; "~ 2 ; ‘ n 5 ~' r x i g ‘ ‘ an) r; {3 “a. mainlmoéli—S—gnnmgdfiy293; 0:9 ~: 4a,; *_,~»f X y p L; 2H3»- w j r \ ’ axe A J é ” t“: w C. 2. Show that: fll4tan4 xsec4 xdx = 2- (lO pts) V- 35 r t 1 m, , g m g t .4! y W M” '“1 ’r‘ w “‘“k Jazz's ; ‘ t t N 1 § 2.; x m aj’) a J 1,. ‘2, on) 3153’ :< m»: 3“ v t 2' n g ., 3.! 2 '2‘ l—tan x l w m 3. Using the identity cos2 )cu‘ssin2 x = cos 2x , show that: J—Z-mdx = —sin 2x+ C . sec x (Hint: This should take you no more than 4 steps) (10 pts) (10 pts) é 5. Evaluate the following integral: [w dx. (20 pts) )63 + 4x (Hint: Here you will need to use partial fractions) (a) fife—mob» (b) [Rx—2V4” dx '2 $ “ 2 ,5}. 7 In) g (‘1 ‘K t if (“i M a it, w 5 will 9 1 l a i H 3' l ,V { JV "3, 1”” {5? is 2 at at a L t a’ ’ ,xD ’lLi iv? H a, m- 3‘ 4/ {i- r” i r,” r} 2 v : Hm ; g; i w Y “"153 L P 9" u , a it ":7; a h ‘/ t“; J ‘1 w, 1 3m!" : "m l f“ w a} i- Max:541 w~~r M. 7. Use the Comparison Test to determine whether the integral f ———————— dx is x convergent or divergent. (10 pts) 5“ JAE W W l“, : l i o- l y; 1 H Um gr: “3;: 5; :m {a A» a: 3' V» i >} in 5 , .7 1 M I a f —‘ t "A W [A \jfimafi » kg 5' "t ’ 0) i ...
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This homework help was uploaded on 04/18/2008 for the course MAT 200 taught by Professor Aristidou during the Fall '06 term at DigiPen Institute of Technology.

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Test 2 Solutions - TEST 2 (MATH 200 (A), Fall 06) 1....

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