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Unformatted text preview: MATH 2070U/2072U Test 6
Instructor: D.A. Aruliah Week 12, 2008
Name (last name, ﬁrst name): Student Number: Teaching Assistant: Instructions
• Before starting, read over the entire test carefully. • Please verify that the test has 5 pages. • You may use a calculator and a pen or pencil. • Test written in pencil are not elegible for regrading. • Laptops, cellphones, and pagers are not permitted. • Have your student card on your desk. • There are 4 questions on this test and a total of 20 marks. • There are 45 minutes for the test. • Questions do not carry equal weight so use your time wisely. • Show as much work as needed to fully answer the questions. • Write your answers as neatly as possible in the test itself. • You are expected to comply with the UOIT rules for academic conduct. Q: Mks: 1 5 2 6 3 6 4 3 Total 20 MATH 2070U/2072U Test 6 Page 2 of 5 1. Approximate the speciﬁed integrals using the basic quadrature rule speciﬁed. π (a) [1 mark]
2π 3 cos x 4 1 dx using the midpoint rule (a)
5 2 (b) [2 marks]
3 2 ln 1 + x3 dx using the trapezoid rule (b)
π 4 (c) [2 marks] 0 tan (sin x) dx using Simpson’s rule (c) MATH 2070U/2072U Test 6 Page 3 of 5 2 2. [6 marks] Use the composite trapezoid rule with N = 4 panels to approximate the integral 0 e−x dx. 3 2. MATH 2070U/2072U Test 6
π 4 Page 4 of 5 3. [6 marks] Use the composite Simpson rule with N = 3 panels to approximate the integral 0 ln (cos x) dx. 3. MATH 2070U/2072U Test 6 Page 5 of 5 4. [3 marks] Write the M ATLAB commands needed to evaluate the integral π
2 cos 3 t
π 2 π −t 2 3 dt using the function quadtx as demonstrated in class. J ! $ X GSW X B E ! TM F ! TM 5 ! UYEHX\ J E F TM XB ...
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This note was uploaded on 02/23/2010 for the course MATH 2070 taught by Professor Aruliahdhavidhe during the Spring '10 term at UOIT.
 Spring '10
 aruliahdhavidhe
 Math

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