Ordering Surfaces Order the surfaces in ascending order of the lateral surface area
Chapter 15, Problem 81(choose chapter or problem)
Order the surfaces 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) \(z_{4}=10+x+2 y\)
Text Transcription:
y = sqrt{x}
z_1 = 2 + x
z_2 = 5 + x
z_3 = 2
z_4 = 10 + x + 2y
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