Conjider a snun ball meting ina narm roum. Juppo that theSNUN hail maintaini the shape uf a ball wnen it melts the Vulume VImeasured in (uhic incn) (ind urfale area sCmeasured in squareInch ) uf the snun hall cind time t(measurec in hour) satisfydVdt-나serr be the radius (measured in incn) of the snuw ball. Thenandl S be conmpted by the foluingformulasS= 니Tr2(a) Find drldttTr2 drdtit ( 3r 2) dr-Tr3 crT diraclt31r3)dtdtat--4SClt나ㅠ4141r2)TTr2 drdc-1OTTr 24Tr2 drat-4tt(b) When uIT square inches, find dsldt-Mपुड

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Asked Nov 16, 2019
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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
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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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Expert Answer

Step 1

Firstly, we find r , when S=4pi square inch

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47T 47r 2=1 r linch

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Step 2

Now, we find dS/dt and substi...

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S 4Tr dr ds 87r dt dt ds - 87(1)(-4)=-327 dt

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Math

Calculus

Derivative