Lateral Surface Area In Exercises 65–-72, find the area ofthe lateral surface (see figure) over the curve C in the x y -plane and under the surface z = f ( x , y ) , where Lateral surface area = ∫ C f ( x , y ) d s f ( x , y ) = x 2 − y 2 + 4 C : x 2 + y 2 = 4 ,
Lateral Surface Area In Exercises 65–-72, find the area ofthe lateral surface (see figure) over the curve C in the x y -plane and under the surface z = f ( x , y ) , where Lateral surface area = ∫ C f ( x , y ) d s f ( x , y ) = x 2 − y 2 + 4 C : x 2 + y 2 = 4 ,
Solution Summary: The author calculates the area of the lateral surface over the curve C in xy -plane and under the given surface.
Lateral Surface Area In Exercises 65–-72, find the area ofthe lateral surface (see figure) over the curve C in the x y-plane and under the surface
z
=
f
(
x
,
y
)
, where
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