MATH UN1102 Lecture Notes - Lecture 34: Multiple Integral, Level Set, Polar Regions Of Earth

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To find local minimax of a function f on a level set. C , solve g - of = x pg or where pg = 0. : definition of a definite integral flxldx whiff. " what is the average altitude of bolivia ? fix , y ) altitude as a function of horizontal and vertical position. B the set of coordinates ( x , y l that make up bolivia. Double integral consider the rectangle r = la , b ] x ( c. The double integral of a function f over r is. , d) = ( ix , y l l a ex eb c eyed } Quick example i my;h , i"i, ftp. flx. yld a let s be the rectangle 10,11 lls # da f- ( xii , y i ;) da ii x ( 0,21 . Estimate : using a 4x4 partition and o lower - left " points upper - left " points.