tutorial7

tutorial7 - Z 1 Z 2 Z x 2 f ( x,y,z ) dz dxdy to give five...

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MATH1211/10-11(2)/Tu7/TNK THE UNIVERSITY OF HONG KONG DEPARTMENT OF MATHEMATICS MATH1211 Multivariable Calculus 2010-11 2nd Semester: Tutorial 7 Date of tutorial classes: March 24–25. (The section/problem numbers in the following refer to those in the textbook.) 1. ( § 5.3 no.12) Rewrite Z 1 0 Z x 0 sin xdy dx + Z 2 1 Z 2 - x 0 sin xdy dx into a single iterated integral by reversing the order of integration, and evaluate. 2. ( § 5.3 no.14) Evaluate Z 1 0 Z 3 3 y cos( x 2 ) dxdy . 3. Change the order of integration of
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Unformatted text preview: Z 1 Z 2 Z x 2 f ( x,y,z ) dz dxdy to give five other equivalent iterated integrals. 4. (Exercise 5.7 no.12) True of false: RR D ( y 3 + 1) dxdy gives the area of the region D , where D = { ( x,y ) | ( x-2) 2 + 3 y 2 ≤ 5 } . Give reason for your answer. ( Hint : You don’t need to evaluate the integral to get the answer; see Example 1 on p.294–295.) 1...
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