# (MATH014)[2009 final - (MATH014[2010(s)final~ywangae^_10395...

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HKUSTMATH 014 Calculus IIFinal ExaminationName:20th May 2009Student I.D.:16:30–19:30Tutorial Section:1.Do not open the exam until instructed to do so.2. When instructed to open the exam, please check that you have13pages of questions in additionto the cover page.3. Write your name, and other information in the space provided above.4. Show an appropriate amount of work for each problem. If you do not show enough work, you willget only partial credit.5. This is a closed book and notes examination.6. You may write on the backside of the pages, but if you use the backside, clearly indicate that youhave done so.7. Please turn off all phones and pagers and remove headphones.8. Cheating is a serious offense.Students caught cheating are subject to a zero score and otherpenalties.Question No.PointsOut ofQ. 18Q. 28Q. 38Q. 48Q. 514Q. 614Q. 712Q. 814Q. 914Total Points100(MATH014)[2010](s)final~ywangae^_10395.pdf downloaded by kwlawab from at 2014-02-08 05:24:25. Academic use within HKUST only.
11. ([8 pts])Consider the region enclosed by the curve and thex-axis as shown in the following figure.224466810xy(a) Use thetrapezoidal rulewithn= 8 subintervals to estimate theareaof the enclosed region.[3 pts](b) Use the disk method (washer method) andmidpoint rulewithn= 3 subintervals to estimatethevolume of the solid obtained by rotating the region about they-axis.[5 pts](MATH014)[2010](s)final~ywangae^_10395.pdf downloaded by kwlawab from at 2014-02-08 05:24:25. Academic use within HKUST only.
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