Solved Practice Problems for Calculus IV | MTH 254, Study notes of Advanced Calculus

Avg Material Type: Notes; Professor: Strand; Class: CALCULUS IV; Subject: Mathematical Sciences; University: Portland State University; Term: Fall 2011;

Typology: Study notes

2011/2012

Uploaded on 01/25/2012

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ty? hy V9 z Math 254 - Practice Problems Wed, Nov 2 Justify your reasoning. Iterated Integrals over General Regions 1. Calculate the volume under the surface f(x,y) = xy over the region bounded by a =4—~y? in the first quadrant. Sketch the region. 2. The temperature on a triangular plate is given by T(#,y) = 120e-*” degrees celsius. Find the average temperature on the plate if it has vertices (3,2),(0,0),(3,0) PP ey dey anes l At) y 2 Af °? ust-y* 3 ) Cy) y AY die aydy mechs oa ~dy . a - c), me et = $Sidu 7 Gegrur? at ax , 2 2 ”% ) “1d0e y= (aoe J I 2 4 ee - gn? of yt” 9) Do dn = toe wooed