Tutorial Exercise Find the area of the zone of a sphere formed by revolving the graph of y = √16 - x²,0 ≤ x ≤ 3, about the y-axis. Step 1 Differentiate the function y = f(x)=√16 f'(x) = Therefore, 16-2 2 1 + [f '(x)] = 1 + X 2 16x with respect to x. 16x² W
Tutorial Exercise Find the area of the zone of a sphere formed by revolving the graph of y = √16 - x²,0 ≤ x ≤ 3, about the y-axis. Step 1 Differentiate the function y = f(x)=√16 f'(x) = Therefore, 16-2 2 1 + [f '(x)] = 1 + X 2 16x with respect to x. 16x² W
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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![Tutorial Exercise
Find the area of the zone of a sphere formed by revolving the graph of y = √ 16 - x²,0 ≤ x ≤ 3, about the y-axis.
Step 1
Differentiate the function y = f(x) = √ 16 - x² with respect to x.
f'(x):
Therefore,
-X
V 16x²
2²
1 + [f'(x)]
= 1 + X
||
2
16 - x
16 - x²
2
D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37c07379-a00c-4f49-988f-bf90796e99d9%2F124ef46f-cefa-4fc0-8b2e-54366a312219%2Fyblfckb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Tutorial Exercise
Find the area of the zone of a sphere formed by revolving the graph of y = √ 16 - x²,0 ≤ x ≤ 3, about the y-axis.
Step 1
Differentiate the function y = f(x) = √ 16 - x² with respect to x.
f'(x):
Therefore,
-X
V 16x²
2²
1 + [f'(x)]
= 1 + X
||
2
16 - x
16 - x²
2
D
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