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LevelCurves - Ma[J‘ PTO CKoH‘OQ SKETCHING SURFACES IN...

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Unformatted text preview: Ma-[J‘ PTO. CKoH‘OQ) SKETCHING SURFACES IN THREE-SPACE USING LEVEL CURVES REQALL: Topographical Map Assume that the numbers represent height in feet relative to sea level of a particular region. QEEIMIJQN : The intersection of a horizontal plane at a particular height 2 a c with a given surface is called a level gm. EMELEI Sketch the surface 2 = x2 + yusing level curves. 7 Values for 2 Level curves -3 ~3=x2+y y=-x2-3 1 -2 -2=x2+y y=-x2-2 {:9‘, -1 -1=x2+y y=-x2-1 1 / ° “‘2” ""2 A. *‘l 1 1=x2+y y=-x2+1 " X 2 2=X2+y y=-x2+2 3 3=X2+y ys-X2+3 4 :0 V -1 z 35:- -3 «2:12. ...
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