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Math 122 Exam 2

# Math 122 Exam 2 - Exam Two MATH 122 Winter 2007 Name...

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Unformatted text preview: Exam Two MATH 122 Winter, 2007 Name : 39‘qung 3 Section ‘ Show all your work on the exam paper, legibly and in detail, to receive full credit. No Calculators. 1. (5 points each) Evaluate the following integrals using formulas ﬁom geometry. Note: DO NOT USE THE FUNDAMENTAL THEOREM OF CALCULUS FOR THIS PROBLEM. Hint: you may want to graph the functions. f(2—xﬂx {’“3 ”I'm—3 '1 ‘ _, C1 ,L p l Page 1 of 8 2. (5 points) Given F(x)= Lxe"2dt, ﬁnd F(O) and F'(o). 3. (5 points) Find the derivative. %L7‘sin(t2}it ___._ §\(\<"\C\XL> (2%} Page 2 of 8 1 7, Z - 3 Ué") “' B. _.. _ \ ‘ L“ -\ 2. \ 7" \ ~ 1 .J b) f/44sinxcosxdx U —... S\(\y do " 4. (5 points each) Evaluate the following integrals. *9 f?“ D=\\\»¢ €10 1' g)?— Page 3 of 8 c) 2ace—"Zdac (-7. “—2“ \ J ”‘\ : \ d) LIZx-lld" +(m-(a—a) +L Z. - 92d 1, .5; 2, 2. Page 4 of 8 E 1 SE ‘4 Z. U: Hy éd” xexw vb} l,\ QQDX N’r— 0" (,7. “\ 3 5’ use, 7% we 3&0 \‘S Page 5 of 8 Page 6 of 8 "7.. X—V-‘xﬂ 7. / PK -' X - 7— ’; Q 5. (10 points) Set up an integral with respect to x representing the area bounded by the curves y = x2 —1 and y = x +1 . Note: DO NOT EVALUATE THE W“ 0-st 6. (10 points) Set up an integral with respect to y representing the area bounded by the curves y = x2 —1 and y = x +1 . Note: DO NOT EVALUATE THE INTEGRAL. g3 { b ,. ,1 Ar Lm_\,+\)¢7 Ar: ”LN-H \$1 —\ b Page 7 of 8 7. (10 points) Set up an integral representing the volume obtained when the region bounded by the curves y = x2 and y = 2x is revolved about the x-axis. Note: DO NOT EVALUATE THE INTEGRAL. ~ 1 ’r/ 7.. l ’, —— l \I ‘f (b '2, 25¢ —- O <- . ' X 0 8. (10 points) Set up an integral representing the volume obtained when the region bounded by the curves y = x2 and y = 2x is revolved about the y-axis. Note: C1“) DO NOT EVALUATE THE INTEGRAL. W K’QWO rt: 1 W 7 V\ '1.”— :1, ”WW? “97 1' I? A? w m”— (1; \ \':. —- I ‘ 6V W [ \l .1; (A1 (A L \l '3’ l'\ \LV ' :12 3 A»? J Pag680f8 ...
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Math 122 Exam 2 - Exam Two MATH 122 Winter 2007 Name...

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