Lateral surface area = Sc C: x² + y² = 64 from (8, 0) to (0,8) f(x, y) = x + y p f(x, y) ds (X, Y) Surface: z=f(x, y) AS₁ C: Curve in xy-plane Lateral surface

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the area of the lateral surface (see figure) over the curve C in the xy-plane and under the surface z = f(x, y), where
= Sc
C: x² + y² = 64 from (8,0) to (0,8)
Lateral surface area =
f(x, y) = x + y
p
f(x, y) ds
(X₂, y₁)
Surface:
z=f(x, y)
As;
C: Curve in xy-plane
Lateral
surface
Transcribed Image Text:Find the area of the lateral surface (see figure) over the curve C in the xy-plane and under the surface z = f(x, y), where = Sc C: x² + y² = 64 from (8,0) to (0,8) Lateral surface area = f(x, y) = x + y p f(x, y) ds (X₂, y₁) Surface: z=f(x, y) As; C: Curve in xy-plane Lateral surface
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