# (MATH014)[2010]final - (MATH014[2010(s)final~4274^_19008...

• Test Prep
• 12
• 100% (2) 2 out of 2 people found this document helpful

This preview shows page 1 - 4 out of 12 pages.

HKUSTMATH 014 Calculus IIFinal ExaminationName:24th May 2010Student I.D.:12:30-15:30Tutorial Section:1.This is a closed book and notes examination.2.Do not open the exam until instructed to do so.3. When instructed to open the exam, please check that you have11pages of questions in additionto the cover page.4. Write your name, and other information in the space provided above.5. Show an appropriate amount of work for each problem. If you do not show enough work, you willget only partial credit.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. 19Q. 29Q. 39Q. 410Q. 59Q. 69Q. 79Q. 810Q. 912Q. 1014Total Points100(MATH014)[2010](s)final~4274^_19008.pdf downloaded by kwlawab from at 2014-02-08 05:24:49. Academic use within HKUST only.
11. ([9 pts])A functionf:RRhas continuous derivatives up to second order, and some of itsfunction values are given in the following table.x0π3π2f(x)-262f(x)-140f′′(x)-332Compute the following integrals:(a)integraldisplayπ203f(x)4 + [f(x)]2dx[4 pts](b)integraldisplayπ3[f′′(x) cosx+f(x) cosx]dx.[5 pts](MATH014)[2010](s)final~4274^_19008.pdf downloaded by kwlawab from at 2014-02-08 05:24:49. Academic use within HKUST only.0
2