Consider the area of the part of the plane z=ax+by+c that projects onto some region D in the xy-plane.   If the area of the region D in the xy-plane is k, explain why the area of the part of the plane z=ax+by+c that projects onto D is ksqrt(1+a^2+b^2)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the area of the part of the plane z=ax+by+c that projects onto some region D in the xy-plane.   If the area of the region D in the xy-plane is k, explain why the area of the part of the plane z=ax+by+c that projects onto D is ksqrt(1+a^2+b^2)

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