Full answer: Lateral Surface Area In Exercises 63 70, find the area of the lateral

Chapter 15, Problem 70

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In Exercises 63 - 70, find the area of the 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 = \(\int_{C} f(x, y) d s\).

\(f(x, y)=x^{2}-y^{2}+4, \quad C: x^{2}+y^{2}=4\)

Text Transcription:

int_C f(x, y) ds

f(x, y) = x^2 - y^2 + 4,     C: x^2 + y^2 = 4

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