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Test 5 Key

Test 5 Key - MATH 1550 —— 5 Test 5A Name*6{l Evaluate...

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Unformatted text preview: MATH 1550 —— 5 Test 5A 11/27/67 Name *6 {l Evaluate each integral. Write answer in exactformfor deﬁnite integrals. Use substitution where appropriate. Show all wark. {43 pts} {I 65> . 2]“de (59:2. I(1+3c056)5sin9d6 :. Sues («'ng '3 U»: 1+ 30,3426- : 6 80W“ i +€§Bﬂk 3 iuc“3.sm€ 5&9 3‘1/3“'/¢0L{+C 5. - 2 a '; BSD)? N 2+1 U A . d 2 (6/) 5. . [erc dx 5 SE” [Ug— GEM) 66y} Find :41; JV2+¢ dt. 1 :[W two/#4561?» 7. Given the velocity function v(r) = r2 + 4: —12 m/s for a particle moving horizontally along a line, ﬁnd the total distance traveled by the particle during the time interval [1, 3] seconds. Write answer as a fraction. Show all work. 3 ' 51 [10 pts] 3 Ltd-W = i ll “‘3 i ”it C lief} ii’MH limit I :- ””56"“ act/twat]; + 1’35; SlJca—iQwET r.L 5 (""3 ’5 ’ 3 tom r CV3 -;L+ 113+ (62+ 1% “3193‘ L%~+81¥j - 40mm »- 9’22) #*3‘3+q (a 8. Find the area of the region bounded by y = x and y = x2. Sketch the curves and shade the bounded region. Write answer in ﬂog-lion form. Show all work [8 pts] in __ (le—ewuvtf mL x = 0 Mtg x: i 4’ . l i l i 5 i l ’ g a , a . 3 ..; _. — . Q. l ._— L/ f , . A“ (tavvlcive/M Ml o O ‘_ i ~— 1’1” ’5 *0 \kvi%we M 8 9. Find the volume of the solid obtained by rotating the region in # 119 about the y-axis. Use the disk or washer method. Write answer in fraction form. Sketch the cross-section. i [18 pts] '3 10. Find the voiume of the solid obtained by rotating the region in # ‘23 about the line y = “1. Use the Shell method. Draw the strip usedfor the Shell. Set up the integral. Use ntnt on your calculator to solve. Write the entry you use on the test paper. Round answer to three decimal places. {12 pts} Withers « "“3 MM cl: anrEp‘ ”It MW. 12. Find the average value of the function f (x) m sin 2x + sin x on the intervai [0,31 . Write answer in exact form. T93“ [9 pts} l ‘ . \ ﬂ - r 4- ? w 01/ ,1 f, -. Keg = “73b (“Ml-7‘ “LAMA M “ 3;:< {1ij 3W- ”M Q ~ iﬁC/Qumﬁr (MTA (”via—- ;:0\] .—.~. BELL" 0\ (”a U 7; Q ...
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