Intrinctive Essay

345gq private CS/APR 2006/MAT235 UNIVERSITI TEKNOLOG! MARA FINAL EXAMINATION exit COURSE CODE EXAMINATION TIME CALCULUS II FOR ENGINEERING MAT235 APRIL 2006 3 HOURS INSTRUCTIONS TO CANDIDATES 1. 2. 3. 4. 5. This question paper consists of five(5) questions. dissolve ALL questions. redeem your answer to each question on a bare-assed page. Do not bring each material into the enquiry room unless permission is given by the Invigilator. Please infract to make sure that this examination select consists of: i) the Question makeup ii) an Answer Booklet - provided by the stave DO NOT caper THIS PAGE UNTIL YOU ARE TOLD TO DO SO This examination paper consists of 4 printed pages © Hak Cipta Universiti Teknologi MARA CONFIDENTIAL CONFIDENTIAL 2 CS/APR 2006/MAT235 QUESTION 1 prise [sec 5 xsinx dx. o (4 marks) a) b) Integrate f e x cos2x dx by exploitation the appropriate method. (7 marks) c) valuate f J - d x , by using the method of partial fraction. x(x-1)2 (8 marks) QUESTION 2 a) Approximate the take to be of (0.503)(1.004)2 using total derivative. (5 marks) b) ds Given s = 3 y 2 z 3 , y = 3x 2 + 2, z = V x - 1 , f i n d when x = 2 using the range rule. dx (6 marks) c) Evaluate the following integral 3 x2 Inz J | 1 x Jxe y dydzdx.

0 (8 marks) © Hak Cipta Universiti Teknologi MARA CONFIDENTIAL CONFIDENTIAL CS/APR 2006/MAT235 QUESTION 3 f X a) Use trigonometric switch to integrate j . x 4. ^ + 9 =dx (5 marks) b) If y(1 + x 2 ) ^ = 2x(1-y 2 ).provethat dx (1 + x 2 ) 2 ( 1 - y 2 ) = A where A is constant! . (7 marks) c) Solve the differential coefficient equation y - y x 2 + y 2 dx - x dy = 0 (9 marks) QUESTION 4 a) Solve the second order differential equation 2y + 3y + y = 2e _ t +1 (10 marks) b) A ice chest initially contains 200 liter of pure water. Then at duration t = 0 brine containing 5 gm of saltiness per liter of water is allowed to enter the tank at the...If you compliments to get a full essay, order it on our website: OrderCustomPaper.com

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