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Section 14.5 and 14.6

# Section 14.5 and 14.6 - The portion of the cone Inside the...

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Section 14.5 Surface Area

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Figure 14.42 and Figure 14.43
Definition of Surface Area

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Example: Find the area of the surface given by z=f(x,y) over the region R. 1) f(x,y)= R: square with vertices (0,0), (0,4), (3,4) (3,0) 2) f(x,y)= R={(x,y): } 2 y 2 2 9 y x - + 4 2 2 + y x
Find the area of the surface

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Unformatted text preview: The portion of the cone Inside the cylinder 2 2 2 y x z + = 4 2 2 = + y x Section 14.6 Triple Integrals and Applications Figure 14.51 Definition of Triple Integral Theorem 14.4 Evaluation by Iterated Integrals...
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