Order the surfaces in ascending order of the lateral surfacearea under the surface and

Chapter 15, Problem 81

(choose chapter or problem)

Order the surface in ascending order of the lateral surface area under the surface and over the curve \(y=\sqrt{x}\) from (0, 0) to (4, 2) in the xy-plane. Explain your ordering without doing any calculations.

(a) \(z_1 =2+x\)                                             (b) \(z_2 =5+x\)

(c) \(z_3 =2\)                                                  (d) \(z_4 =10+x+2y\)

Text Transcription:

y=sqrtx

z_1 =2+x

z_2 =5+x

z_3 =2

z_4 10+x+2y

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