Conjider a snun ball meting ina narm roum. Juppo that the SNUN hail maintaini the shape uf a ball wnen it melts the Vulume V Imeasured in (uhic incn) (ind urfale area sCmeasured in square Inch ) uf the snun hall cind time t(measurec in hour) satisfy dV dt -나s err be the radius (measured in incn) of the snuw ball. Then andl S be conmpted by the foluing formulas S= 니Tr2 (a) Find drldt tTr2 dr dt it ( 3r 2) dr-Tr3 cr T dira clt 31r3) dt dt at --4S Clt 나ㅠ 4141r2) TTr2 dr dc -1OTTr 2 4Tr2 dr at -4 tt (b) When uIT square inches, find dsldt -M पुड

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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I need help on part 2 to find ds/dt?

Conjider a snun ball meting ina narm roum. Juppo that the
SNUN hail maintaini the shape uf a ball wnen it melts the Vulume V
Imeasured in (uhic incn) (ind urfale area sCmeasured in square
Inch ) uf the snun hall cind time t(measurec in hour) satisfy
dV
dt
-나s
err be the radius (measured in incn) of the snuw ball. Then
andl S be conmpted by the foluing
formulas
S= 니Tr2
(a) Find drldt
tTr2 dr
dt
it ( 3r 2) dr-Tr3 cr
T dira
clt
31r3)
dt
dt
at
--4S
Clt
나ㅠ
4141r2)
TTr2 dr
dc
-1OTTr 2
4Tr2 dr
at
-4
tt
(b) When uIT square inches, find dsldt
-M
पुड
Transcribed Image Text:Conjider a snun ball meting ina narm roum. Juppo that the SNUN hail maintaini the shape uf a ball wnen it melts the Vulume V Imeasured in (uhic incn) (ind urfale area sCmeasured in square Inch ) uf the snun hall cind time t(measurec in hour) satisfy dV dt -나s err be the radius (measured in incn) of the snuw ball. Then andl S be conmpted by the foluing formulas S= 니Tr2 (a) Find drldt tTr2 dr dt it ( 3r 2) dr-Tr3 cr T dira clt 31r3) dt dt at --4S Clt 나ㅠ 4141r2) TTr2 dr dc -1OTTr 2 4Tr2 dr at -4 tt (b) When uIT square inches, find dsldt -M पुड
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