Wksht7 - Math 160 Kouba Worksheet 7 1 Evaluate the...

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Unformatted text preview: Math 160 Kouba Worksheet 7 1.) Evaluate the following double integrals. Realize that in some cases you must switch the order of integration before you compute the antiderivatives. a) /07r/2 AW/gsinxcosy d1: dy b) /027T /Owcos(x/4+y/3) dy dx c.)/01 /0fi y sin(7ra:) dy dm d.) )//S—mydydx e.) f: fi/yfisinm 2)dzz: dy 2.) Compute the volume of the solid which lies between the two surfaces (draw a rough sketch) 2 = x2 + 312 + 10 and :1: + 2y + 32 = 6 and above the region R in the gay-plane bounded by the graphs of y = 2x and y = 3:2. 3.) Compute the volume of the solid which is bounded by the planes 33:0, y=0, 2:0, and 333+3y+5z=15. ...
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