Download Midterm Exam 3 on Quantitative Analysis with Solutions | MATH 1100 and more Study notes Quantitative Techniques in PDF only on Docsity! Medletmn & Revers Unwed howd
¢ Tumor growth For Problems 23 awl 24, suppose that a
Lf tumor in a porson’s body has a spherical shape and that
treafnicnt is causing the rad
‘ is of the tumor to decrease
at a rate of 1 millimeter per month.
At what Fate #8 the volume decreasing when dic radius
is 2 millimeters? (Recall that ¥ ~ tarry
24. Ar what rate is the surtace area of the tumor
all that for a sphere,
ing when the radius is 3 min? (%
Aare 5
Ney
gan Cell yrowtht A bacterial cell bas a spherical sbape. [F
cubic
\
the valume of the. cett is increasing ata rate of
yerers per day, at what rate is the radius of the
microm
2 micrometers? (Recall lhat
cell incteasing when it is
4
\
for a sphere, V =
=
MH Water purification sume that water is being puri-
fied hy causing it to flow through a conical filer thai
has a heaght of LS inches and a radius af 3 inches. Uf
© the depth of the water is decreasing at a rate of ! inch
per minute when the depth is 6 inches, al what rate is,
the volume of water Rowing out of the filler at this
a
“Ns
instant?
W em RS op uni
/ WA, Ladder safety A 30-ft ladder is leaning against a
wall, [fF dhe bettom is pulled away from the wal a
rate af 1 fi/sec, at what rate is the top of the ladder
down the wall when the bottom is 18 fl from
U4 Elasticity The demand function for a product is given by.
pegece a
tb) Find the vaines of g and p that maximize the walg
L (c) For the valve of @ found in part (bp. show thar the pact
i
Ke)
4a} Find the price clasticity of demand when x =
elasticity of demand has unit elasti
iy OA Elasticity The demand function fora product §
p= 20 ~ 002g, O< 4< 1000,
ta) Find the price elasticity of demand when x = 560.
“
{b) Find the values of @ and p that maximize the cial
revenue,
(ec) Vor the value of g found in part (h). show that the prick,
elasticity of demand has unt elasticity.
&
2
“ f of
yl gle not Ihe Wtuoad (xo pode 6b is
“
Wee hy
(eeu) Vad _ = (002
qe i al tat f i s fo
&) Find wan cla of deruands wlan pe #34
ay
b) whol ye of “elas hiethy ig 7h?
OY Vow wold 0. ice inary albect Ihe (Oven,
VE be. détmend oud capil frame bond er ~
qodack fe, G2QO0~by oud 92400415 "a
Cepecbveley , ud Ue fox per al b Weal will so hinute
Va bet Coven, T,
wy TL te i hu.) ° Va F 3
AB) \ swarlic be, ALM fut row, sf, Peion sph
oud \e agg, benchon, beloce totohvu is, P= do +3097
\ wd bet ob wer Uda hs He AML Aan Fe. ibe. on Cetus
\\ Podace
4 BO j so d o
ese Pe S000 4g @) ~O. qe oud po SPP +109 - B34 6
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Lay aAe . é .
Ue Loy per uch C fot whl Mee Liters Be
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