(a) 8 S" SŠ S**-* r dz dr do k2 –r2

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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Question
If k e R+, which of the following expressions or triple integrals is NOT
equal to the volume of a sphere with equation x² + y² + z² = k2?
ck
Vk2 –r2
(a) 8 fo Sô So
r dz dr do
Vk2 -x2
(b) 4 S~k So
2-y?
dz dy dx
k2 –x2 –
k2
-r2
(c) 4 fo" So So
(d) 2 o So So e? sin o dp dø do
(e) S" S" S e² sin o dp dø do
r dz dr do
2T
Transcribed Image Text:If k e R+, which of the following expressions or triple integrals is NOT equal to the volume of a sphere with equation x² + y² + z² = k2? ck Vk2 –r2 (a) 8 fo Sô So r dz dr do Vk2 -x2 (b) 4 S~k So 2-y? dz dy dx k2 –x2 – k2 -r2 (c) 4 fo" So So (d) 2 o So So e? sin o dp dø do (e) S" S" S e² sin o dp dø do r dz dr do 2T
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