MATH 113 - QUIZ 6 - 16 OCTOBER
2012
Answer all of the following questions in the space provided. Show all work as partial
credit may be given. Answcrs witliout justification, even if they are corrcct, will car.n ncl
credit.
1. (5 pts.) Find
/'(r) r J\r):
,r cos(r)
_---:.
-[l/x) = fr.+x\ *(x ^s,0.\)_
Ct+x3)2-
x-
.sa) C;E)
Cl,+xt)2. (5 pts.) The height in meters, s, of a feather from a height of 20 meters above the surface
of the moon is given by s : 20 - 0.8t2 where f is measured in seconds. Find the velocity and
acceleration of the feather the moment it strikes the sround.
st/+): -
1,6 b
srt{v)= -l,b
s/(s): -g'/r*
st/[s): l,b wfrdz
,'zo -,Yt? :
.8*= zo
&=z€
I
-l J -/\/
T- --o0A
Qt
MATH 113 - QUrZ 6 - 16 OCTOBtrR
2012
Answer all of the following questions in the space provided. Show all work as partial
credit may be giverr. Answcrs without justificatiorr) even if they are correct, will earn no
credit.
1. (5 pts.) Find
/'(r) it f (r):
' '''"!i,(ll
1 + sin(r)'
t'+srufA)
lflx1=
(?:rn&)
.
-f?
( t+sru fi))-
- 2 as[x)
@s4Y
il2rx\
61+sru{fr))=
^2
=
2. (5 pts.)
Str,lfx\
-L
fl+irrlxil
-Z(l+st
nlx\)
-
Lt+sr '^ Cxiz-
-L
Lt*s,r/t\)2-
Suppose that the position, s,
100,
is given ,by s :
ffi
in meters of a marble rolling up a curved incline
*h"r" f is measured in seconds and s : 0 is the starting point. Find
the velocity and acceleration of the marble. Is the marble speeding up or slowing down for
t>07
I
s'/f)
rD
t+ri)0oo)_l0of
=
Ic+\-
sr(A = -20oL++ff
=
[oo
(+r\tO
-
z
't( qJ"ri,"9 &
s (ule+L.aue/o.,b stfAis "bN e€Lei {,9 eM t )c>
Kca lny-
T
IG
MATH
113
-
QUIZ 6 - 16 OCTOBER 2012
Answer all of the following questions in the space provided. Show all work
as partial
credit ntay be given' Answers without justificatiorr) cven if they arc con.ect, will
ear.n no
credit.
1. (5 pts.) Find
/'(r) it f (r): r
cos(r) sin(r).
ni. l'&)
= X &(r'r&) srra 6X\ + ( t) cps &) Erra 6.)
|
=x (ros0.\ c"$A + srq /A 6s,,4 fk\) t&s&)ff t't&)
= x (*uttx)-srhzrA) tcos6l)sru tx>
2. (5 pts.)
Suppose that the position in meters, s, of a particle moving horizontally after I
seconds is given by s(t) : 1Br 3t2, 0 <, < 8. Find all points at which the velocity of
the
-
particle is zero and find its acceleration at those points.
V
(+): sl(t) - [K- 6t
[s-at - o
t- 3 sea
4 /q-vlf r)
q Cs) =
- \/lfy) --6
^6 r/t*,