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test2sugprobsolns

# test2sugprobsolns - 7 dx or show that it diverges Co/i r M...

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Math 242 Suggested lab/discussion problems, Oct 25 and 27 This is a longer list of problems than usual. It can also serve as pract.iec for Test 2. r 1 ' 2 la. Evaluate / cos 1 x dx. ,rr/2 7 ° O\$ 2/ X COS ^ o ^ 6 (A ' S'^ ^ -COS / ,, Ib. Evaluate / cos x dx * o / o ^ 77 _ 7T

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2. Evaluate / sec^ x dx. Sec 'X Park L ( r \< - 72M r 'X ^ "X -x r/Vor e/?s/s? ( Ai'07 ^—I -x " 5<?c -x T k -f f -f
3. Evaluate Sec 6 r\ tr/3 c 7T 3 IE 3 o-o o

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4 . Evaluate - d x . P - 10 iO - Id r 11. TD - io' = lo 3 -lo U - 3 rfa t/ii/M
c •v 8i Pi CX C O H CN

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5. Evaluate 1/2 (Hint: At sonic point, yon may want to use the answer from an earlier question.) ^-— 1 0 - i r, 0 I 2. Sec "6 sec Sic y. Ji .1
6. Evaluate 1 L £ •X-7 B + '7 A -75 - r> -t- ./ A -X C 4- C

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r 0 7. Evaluate / : -r— J dx. B 00*5" -2/1 '2/\7 •2. c
8. Use Newton's method to approximate the square root of 2. Use the initial approximation x\ 1, and use two iterations of Newton's method. 1. _ •2. ' = OC - 2- n 2 3 .o -o o/v;

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-f(<y } - 5 i/\. Use the Trapezoid Rul estimate / sin.x 1 dx. Jo •v - 5> ~ 7T <~5 2^ = 1L Lj. £-]. +2&i« +2** o 7T / 1 + .J2 - TT / r\- O ' +•?•/+ 'Z."^. T C
10. Evaluate 7 dx, or show that it diverges. Co/i *' r M r-, 3M+.L L

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Unformatted text preview: 7 dx, or show that it diverges. Co/i *' r M r-, 3M+.L L L_ 3 L i 3 _ A U 3 U L-f 1 I 3 u 10 11. Evaluate 7-30 1 + Z 2 I/) 11 I jl dx, or show that it diverges. ^ — oO Sep arate r\ ( o d U u M O f M ju./ tl* 12a. Find the length of the curve y = / _ o . , V 2-between x — 0 and x — 7. =-x ;~7-I 2 3 r\-. 12b. Find the length of the curve y = x 1 between a: = 0 and x = 1/2. ./ f o fH£ S/)H<2 13. For each of the following scries, determine whether it is convergent or divergent. Give reasons. 60 (1=0 .series \*f — /T 1 H-v *~ J - - ' 13b. V-3) 13 rs-H, W a i r\^-4-J r\ 70 o x < AD O 13e. E -T/5 71 = 1 13f. f 15 LI IA (A vi 00 13k. a n n 131. 9" is t O + 10 31 «• ri I To") V ' / n L = 9 L + i L _ M JO" uoy ^ ^•f./...
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test2sugprobsolns - 7 dx or show that it diverges Co/i r M...

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