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Practice Test_Fall 2004

# Practice Test_Fall 2004 - Math 1206 Common Exam Fall 2004...

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Unformatted text preview: Math 1206 Common Exam Fall 2004 FORM B Instructions: Please enter your NAME, your ID NUMBER, the FORM DESIGNATION LETTER and your CRN NUMBER on the op—scan sheet. The index number should be written in the upper right—hand box labeled ” Course”. Darken the appropriate circles below the ID number and form designation letter. Use a No. 2 pencil; machine grading may ignore faintly marked circles. Mark your answers to the test questions in rows 1- 15 of the op—scan sheet. Your score 011 this part of the test will be the number of correct answers. You have one hour to complete this part of the ﬁnal exam. 2:1: [1] Evaluate / x2 + 1 dm. 1) tan“1(as2 + l) + O’ V '2) ar2213an‘1(a:2 + 1) + C 3) 111(m2 + l) + O 4) 3:2 ln(az:2 + l) + C’ [2] Liquid drains into a tankat the rate of 273 + 3 units per minute. If the tank starts empty and can hold 10 units, at what time will it overﬂow? 10 1) 2 minutes 2) g'minutes 3) ~23 minutes 4) 23 minutes [3] The average value of f = cos(m) sin(b:) on the interval [0, 7r/2] is 71 l 2 1 1_ _ __ _ )4 2)7r‘ .3)7T_ 4)2 4 Usin tri onometric subst'tiution we can convert the inte ral / d3: [ l g g . 1 , s 0 W into one of the following four integrals. Which one is it? 2 7r/6 - 2 7r/6 DAtanQdQ 2)/0 made 3)2/Osin6d6 492/0 sinade , (U ' l l 1 1” mung ‘3)in—3 ‘95 l [6] The area of the region in the plane bounded by the curves :1; = y2 and y=x—2m l. 1 1)/2(yz—y—2)dy 2) / (y+2-y2)dy --2 2 2 , 2 _ _ . __ 2 3) /_1(y y 2)dy 4) /_1(y+2 y My [7] Evaluate f1 8 div. ’ 1) l— 26—1 2) ln(l +3) 3) (32 +1 4) 1— e [8] Find f if f’(t) = 65‘5 + sint and f(0) = 2. l) f(t) = 585” —— cos(t) +§ 2) ﬁt) 2% 5t ——— cost+£§ 3) f(t)=565f‘+cost—4 . 4)f(t)=%65t+cost+§ 1 cc [9] Evaluate /0 Web. 1) 1112 2) 6ln2—51n—é {ﬁg—#21112 4)51n2—31113 2 is revolved [10] The region bounded by the x—axis and the graph of y = a;- a: about the y—axis. The volume is ' 7r ’77 7r 7r 1 —— 2 — — — ) 30 > 12 3) 6 4) 3 [11] Evaluate /COS2(\$)81113(\$) dsc. sin6(x) sin4(:c) cos6 sin5 D 6 -— 4 +0 2) 6 +- 5 +0 5 3 3 ' 4 - 3) 0035(55) _ c083(x) + O ‘ 4) _cos 25m + C £1) [12] Let 9(33) = / f(t)dt, where f is the function whose. graph is shown 1 below. Find 9(0) and 9(6). ' 3) 9(0) = —S and 9(6) =3 .4) 9(0) = 2 and 9(6) =§ [l3] G-V n __ 1 '2 1 e g(m) —. [1311103 +t)dt, ﬁnd do: . '1) 4ln(16x2 + 4:13) ’2) —4ln(16w2 + 493) 3) 4(2t + 1) ln(16a:2 + 2:13) 4) —4(2t + 1) ln(16332 + 2x) [14] Given the table of values for a function f below, ﬁnd the smallest estimate 3 of 1'5 d3: using a Riemann sum with n = 5. n 1) 0 2) 0.3 3) 0.45 ‘ 4) 1.5 [15] Let R be the lamina with density % in the triangle with vertices (0,0), (1,0), and (1,3). Set up the integral for the moment My, using slices parallel to the y axis. ' 13:2:2 19332 . 13a: 19:): ...
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Practice Test_Fall 2004 - Math 1206 Common Exam Fall 2004...

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