Let a and h be positive real numbers. Let E be the surface in R³ given by 4a.x = y? + z2. (a) Find the volume of the region enclosed between E and the plane x = h. (b) Show that the surface area of the part of E with x < h is SrVa ((a + h)/² – aV?). (a + h)³/2 – a³/²) . 3

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Let a and h be positive real numbers. Let E be the surface in R3 given by
4a.x = y + z2.
(a) Find the volume of the region enclosed between E and the plane x =
= h.
(b) Show that the surface area of the part of E with x <h is
87 Va
+ h)8/2 – a/2) .
3
Transcribed Image Text:Let a and h be positive real numbers. Let E be the surface in R3 given by 4a.x = y + z2. (a) Find the volume of the region enclosed between E and the plane x = = h. (b) Show that the surface area of the part of E with x <h is 87 Va + h)8/2 – a/2) . 3
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