Show that the area S of the part of the paraboloid z D 1 2 .
Question and Solution
Show that the area S of the part of the paraboloid z D 1 2 .x2 C y2/ lying above the square ?1 x 1, ?1 y 1 is given by S
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Show that the area S of the part of the paraboloid z D 1 2 .x2 C y2/ lying above the square ?1 x 1, ?1 y 1 is given by S D 8 3 Z =4 0 .1 C sec2 /3=2 d ? 2 3 ; and use numerical methods to evaluate the area to 3 decimal places.
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