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# Wksht8 - Math 16C Kouba Worksheet 8 1 Evaluate the...

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Unformatted text preview: Math 16C Kouba Worksheet 8 1.) Evaluate the following double integrals. Realize that in some cases you must switch the order of integration before you compute the antiderivatives. 77/4 7r a) /0 /0 sec2(x/3+y/4) dy dm 27r 37r b) /0 f0 cos(x/3——y/2) dy dm 7r/2 1r/6 c) / / sin2(m — y) dy d3: 0 0 5 3/\/5 )//0 2my-tan2(:cy2)dy dx e)/4 /:y ~(xcos )da: dy ln2 f.) )// d d ln (2z+1)62y—2€y+1 y :r 2.) Sketch the volume of the solid which is represented by each of the follow— ing double integrals. You need not compute the value of the double integral. a) /03/03_z1/3(12—w—2y)dydx 2 31/2 2 2 b)/0/0 (x +y)dmdy ...
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