MAT 284 Final: MAT284-2008Fall
vl
Final Exarn
Math 284- 100 lrall 2008
NIe¡'ç¡
Narne
Show voul v/ork. You rnay use a calculator, but you must write the steps
you [ake with tlrc câ,lculatoÌ. A correct answer with no work will ìot receive
creclit, Point vaìues are indicated,
1. (10 poinis) Let a :ln2,b- ln5 and c: In11. Wlite
/r 1\
lrrl- I
\50/
ilr tcrrns oI a, 1.r anrl c,
2. (10 poilts) The dcrnand equation of a ceÌtain company's prÕduct is giveÌt
by p : t55 - 2.8q, whelc p is the price in dollars oI their product when
demancl is q units. Find the revenue generated wl.ren demand is 12 units,
3. (10 points) 1'he supply and clernald culves lor a palticulal plocluct ale,
lcslrcctivcll,,
p - 13 1- 0.4q ard p - 31 0.1q.
Find the equrlibrium price p and quâ,ntity q,
4. (10 points) Ilind the following lirnits. Circle voLìr answers
a)
-2 Lo-
r'2 12 l- 4rl-3
,. z2-¡*6
tlln
-
,-z :tz - 7x )- 12
5. (10 points) L<¡olç ¿r,t the gì'aph oI the function
lirlits and lunction values. Write "doesn't exist"
rìot exist.
'8',/{")
/(-r)
/ (3)
"trE/(")
lim, /(ø)
below. Irind thc indicated
iI 1;he valrrc or limil; docs
â)
b)
cl
d)
Document Summary
You rnay use a calculator, but you must write the steps you [ake with tlrc c ,lculato . A correct answer with no work will ot receive creclit, point va ues are indicated: (10 poinis) let a :ln2,b- ln5 and c: in11. Find the revenue generated wl. ren demand is 12 units: (10 points) 1"he supply and clernald culves lor a palticulal plocluct ale, lcslrcctivcll,, p - 13 1- 0. 4q ard p - 31 0. 1q. Find the equrlibrium price p and qu ,ntity q: (10 points) ilind the following lirnits. ,-z :tz - 7x )- 12: (10 points) l< ol r,t the g "aph oi the function lirlits and lunction values. Irind thc indicated ii 1;he valrrc or limil; docs b) cl d) "tre/(") lim, /( : (10 points) use the definition of thc derivative to find /"(z) for f(r):2r2+r. Yrlr nus1, uso thc clcfinitjol of thc dclivativo to roccivc nv credit fo tlris plo rlom.
