Download 5 Solved Questions Exam 2 - Plane Trigonometry | MATH 111 and more Exams Trigonometry in PDF only on Docsity! . Short answer questions; 2 points each
(a) Calculate 28/(-7).
(b) Calculate | — 6 ~ (-3)|.
-G-(-3 = -3
so |-6-(-3 = 13123
(c) Fill in each blank with either + or x to make a correct statement:
a Kal = ge,
(d) Does 9 divide 124124124?
Nor IPH ZH EZHES 2h is nod divisible by 4
(c) Place a digit in the blank so that the resulting number is divisible by 6:
1614.
() Factor 92% — 422, oy” « (30", Yar s (a2y, so He Getemecthion 15 |
(3x~22)(3x+ 22)
(g) Factor 6a? ~ ab.
al6a—b) -
2. 2 points for cach part
(a) Given that 14977 = 3-84 45-89 42-89 40-8+ 1, express 14977 in
base 8.
MOTE
35201 eaght
base 8. (Be careful!)
(b) Given that 9745 = 2.84 + 2-844 8.8? 42-841, express 9745 in
*
2044 3G 40 B 42GB HI
= 24021 exght
{c) Convert 286 to base 12. (As on the homework, use T to represent the
number ten in base 12, and F' to represent the number eleven.)
206 = N44 +142.
2\WQ 4132416 =bID + HD+ 10-4
= VE Ta uetoe
(d) Convert 2012rinee to base 10.
2012 wren
”
2 Bt OBR te F 47.9
QV eVBZsral
sa
8
(e) In base 6, what number follows alter 45542?
4
4S Sy
ax
SOO
3k
+
5. (5 points) If x < y and n < 0, oxplain why ny < nx using the fact that
y > means y— 2 is positive.
ne
If yrx, thn y-% 6 positive , |
i -x) = ny at 1s negatwe
So f wis nagotive y My-X) ny oe TS
=> AX — Ny % pos hue
=> ny 704 .
Cxplaaing, the of ack ws not the same os
Auamensteaking a pox hculox Sorege. ® ib.
Rovio credit Lee Georg a * hand-waved" explanahian
\nseod R & precise one aS aboue (ve. port mores f yO
didnt use the Sak yor were sted bo us). Yow should
a 4 torlyre
le adda cto guise loot © prease explanshor ound oan in .
ore. Nue, ee asking, qoute une the, specific Bek, TL wes ost) 5
&e ey etek tglansiver .
Bonus. (5 points)
Enter the letters A, B, C, and D exactly once in each row and column.
(Each square may have just one letter in it, so there will also be one empty
square in each row and column.) Tho clues outside the grid indicate which
letter appears first from that direction. For example, B must be the leftmost
letter in the fourth row (but it might not be in the first column: the first
square may be empty). Similarly, A must be the bottommost letter in the
first and fourth columns.
Tao important cules
oe making deduchons:
DA letter ot the end of a cows
or column means thet ct 6
Wie piel Fon sqpares tn
hak direchon
@ If a ieter appears tone on
maida, oe ink squares
Bros tet cect
aes be occupied
oat ©
OQ|,;}O| X| Pile
D
x | C
D|B
oritet edge meats | C | A
BX
A iD
B
a, P} I] xX | ple
Ss occupied, ga enyst be B
D
D
Cc
%
A
x
A
Now A fy pear inthe Sg0
morked #, 30 Ethos eure, boy D
*
* . a eH cane be C , $0 18
ES a Neo * west seared ahem. saw myst ie te J vcthe keothaw
sp SD eed = => B
a aio, by O, ee ak Swe D ¥
rte aa we che AF cal it an 4 cont
{8 ody * eaef be 4, 8,G0"
alpic 2
A MO!
C
Eosy Soom bare. | sow RE
