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Let f(x,y)=x2y2f ( x , y ) = x ^ { 2 } - y ^ { 2 }

question 41

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Let f(x,y)=x2y2f ( x , y ) = x ^ { 2 } - y ^ { 2 } .(a) Sketch the intersection of z=f(x,y)z = f ( x , y ) and z=1z = 1 in the xyx y -plane.(b) Sketch the intersection of z=f(x,y)z = f ( x , y ) and x=0x = 0 in the yzy z -plane.(c) Sketch the intersection of z=f(x,y)z = f ( x , y ) and y=0y = 0 in the xzx z -plane.(d) Sketch the graph of z=f(x,y)z = f ( x , y ) in R3\mathbb { R } ^ { 3 } .


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