1022 quiz 1 B Term 2007 answers

1022 quiz 1 B Term 2007 answers - ANSWER kEY Name: MA 1021...

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Unformatted text preview: ANSWER kEY Name: MA 1021 - 2007 B Term Section A02 October 30, 2007 Quiz —- Sections 5.2, 5.3, 5.4 1. Evaluate each of the following antiderivatives. (4 points each) 21. [cos xdx d. J3exdx 3 CK + C e. I [ :l dx (bonus question; no partial credit) 78+ C.x—i= C1 2. Solve each of the following initial value problems. (6 points each) a.§3’~=x+1 y(2):7 dx ‘3" {HMO ' 1 3h” 1*“4‘7 c: dy h hazcost yGJ-Ag ac. lenlx-t-C jfiés'ile‘“ “It 2 1" , I If i l 'r —*rC 1: "f/z 2' cs‘f dy 1 2 .w=— “1:5 0 dx x1 y(e ) 3. A ball is thrown straight upward from 140 ooblongs above the surface of Mars, with an initial velocity of 120 ooblongs per second. (An ooblong is a unit of distance). The gravitational pull of Mars is equal to 40 ooblongs per second per second. Answer the following questions about this Martian ball. (4 points each) a. Express the velocity of the ball as a function of time. agnan v: -¢I—o{—+C 5+ VKO): C: 17.0 we)“: 19.0 b. Express the height of the ball as a function of time. 435 ._._ 12,0..40—5 3:: not. ZN1+C 44+ X03) 1: C ‘3- “(-0 x o —:. Ho ( ) 3(a) -; ~20+1+120++Wo c. How long will it be until the ball hits the ground? xm : 0 £7 "20*??- ‘20H'40 '3" 0 14’", AIL-7 3 O (+-‘1)(-£+I) 0 ... ._. Hoe ball k?! Hue Q L—j, KG) .. 0 , sofiflufld In 72266.net; d. How far will the ball have traveled in that time? Be sure to count the entire distance upward and add the entire distance -—- -— downward. X0, ) _: [*0 > dig—:5: x’a) =- no- Lrot .. ._._, go I X(3) 3 > 320 clown ><('7) '3 0 4. You have estimated the area under the curve f(x) between x=2 and x=7, and above the x-axis, by using 10 inscribed rectangles of uniform width, as shown below. Your estimate is 33. EAcL tech—ale L1: will“. 11 Z: 5 It: Now you would like to estimate the same area, but this time using 10 circumscribed rectangles of uniform width. Given that f(2)=4 and f(7)312, what is your new estimate? (1 0 points) Wine“ we Usel [hunch “(ch-«Shag, E1+B++u. 4- [1A1 33 thn we +9 leC‘una‘CrdyeJ recmjlls) ewj'tkinj”5h€H-5"+o flu RH; _L L 5 5. Use Riemann sums to evaluate: fix +1)dx (16 points) 0 I n W MA -A “do; n) >< xxx-2‘13: 1": XLZX°+LAK1 5": n h V‘ ‘FCXQ: )(i‘l’l'z gi'rl ‘ I" new (2. '"_ X“ n 5.. I‘M E 37,} + E 1: “‘3’” CH n n n n hm if 25+ 52“ 1h.“ 2; n(n+n+ n-‘vae n1 5;; r‘ (1,. haw In" 7' : hm 22 Hal. , 2S .. s," n-vm (L n)+5 ’ Z+g'§_ - 7— f” ' kl+kt _ ’- **************** END OF QUIZ **************** ...
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This note was uploaded on 10/13/2009 for the course MA 1022 taught by Professor Abraham during the Spring '09 term at WPI.

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1022 quiz 1 B Term 2007 answers - ANSWER kEY Name: MA 1021...

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