calculator techniques rex

CALCULATOR

TECHNIQUES

ENGR. REX JASON H. AGUSTIN

THE MEMORY VARIABLES

MEMORY CALCULATOR BUTTONS

A ALPHA (-)

B ALPHA O ‘ “

C ALPHA hyp

D ALPHA sin

E (ES PLUS only) ALPHA cos

F (ES PLUS only) ALPHA tan

X ALPHA )

Y ALPHA S D

M ALPHA M+

HOW TO CLEAR MEMORY

• SHIFT 9 1 =

– This means you will automatically go to MODE 1

• SHIFT 9 2 =

– All values stored in the memory variables will be erased

• SHIFT 9 3 =

– This means you will automatically go to MODE 1 and all values stored in the memory variables will be erased.

MODE 1 :

GENERAL

CALCULATIONS

Sec)Min(DegreeDMSto.Convert 0615237

HOW TO CONVERT BETWEEN

DEGREES, RADIANS AND GRADIANS

BASICS

"54'36237

237.615

:

0

O

DISPLAY

degrees.decimalto47'12"21Convert 0



BASICS

721.7866666

124721

:

000

DISPLAY

.1200 radianstoConvert



BASICS

3

2

120

:

0

DISPLAY

degrees.toradians2

πConvert



BASICS

90

2

:

r

DISPLAY

system? centesimalin 120 isWhat 0

PAST CE BOARD EXAM

BASICS

ENTER

3

400

201

:

0

DISPLAY

HOW TO GET THE POLAR AND

RECTANGULAR COORDINATE OF A

POINT IN THE CARTESIAN PLANE

BASICS

30993247.56,211102551.7

)6,4(

:

r

Pol

DISPLAY

PAST CE BOARD EXAM

6).- (4,point theof coordinatepolar theFind




BASICS

PAST ECE BOARD EXAM

P(-3,-4)point thecontains

side terminal theif cos of value theFind

:Solution




BASICS

PAST ECE BOARD EXAM

8698976.126,5

)4,3(

:

r

Pol

DISPLAY

Y. to and X lly toautomatica stored isr :NOTE

5

3

)cos(

:

Y

DISPLAY

BASICS

).(3,120 is coordinatepolar whose

point a of coordinater rectangula theFind

0

59807621.2,5.1

Rec(3,120)

:DISPLAY

YX

PAST ECE BOARD EXAM

HOW TO SOLVE COMBINATION

AND PERMUTATION PROBLEMS.

BASICS

PAST ECE BOARD EXAM

collinear? are which of threeno points

distinct 10by formed are glesmany trian How

10C3. is pointscollinear non 10

from formed becan that trianglesofnumber The

:Solution

120

310

:DISPLAY

C

BASICS

contest?essay student ain finalists 10

theamong from uprunner first theand winner the

choose judges can the waysdifferent many howIn

hereimportant isorder :Note

time.aat 2 taken finalists 10 are There

:Solution

90

210

:DISPLAY

P

PAST ECE BOARD EXAM

HOW TO EVALUATE FACTORIAL

NUMBERS

BASICS

10! of value theFind

3628800

!10

:DISPLAY

65336 24 x-xx ) if f(x) (Evaluate f

HOW TO EVALUATE

FUNCTIONS

BASICS

3972

6533

:DISPLAY

24 xxx

32223 234,3,4 yxyy-xyx y) ) if f(x(Evaluate f

HOW TO EVALUATE

FUNCTIONS

BASICS

2.by x divided is 4x4x-2x3xwhen remainder theFind 234

PAST ME BOARD EXAM

BASICS

)f(-remainder,xx-xxf(x)

Solution:

24423 234

18

4423

:DISPLAY

234 xxxx

18 Remainder :Answer

?x-x-xx of x) a factorIs (x 23456 96863

HOW TO EVALUATE

FUNCTIONS

BASICS

23456 9686

offactor a is 3then x

0,f(-3) Since:

x-x-xxx

Conclusion

HOW TO USE THE ∑ SIGN

BASICS

20...321 sum. theFind

210

:DISPLAY

20

1x

x

)4(5)3(4 xxSOLVE

HOW TO SOLVE LINEAR

EQUATIONS

BASICS

?

,9,2,4),22(7

Yofvaluetheiswhat

AandDXYXD

AIf

HOW TO SOLVE A

SPECIFIC VARIABLE

BASICS

HOW TO USE MULTILINE FUNCTION

BASICS

12m. 8m, 6m, are sides whose trianglea of area theFind

:ENTER

PAST EE BOARD EXAM

2

cbas

c)-b)(s-a)(s-s(sA

:Formula sHeron' Using:Solution

HOW TO USE MULTILINE FUNCTION

BASICS

:ENTER

C)-B)(X-A)(X-X(X:2

CBAX

:DISPLAY

PAST EE BOARD EXAM

13

2

CBAX

:DISPLAY

455

))()((

:DISPLAY

CXBXAXX

HOW TO USE LOGARITHMIC EQUATIONS

BASICS

10 5)(xlog x login for x Solve 22

:ENTER

PAST ME BOARD EXAM

0 R-L

929.5975076 X

10 5)(xlog x log

:DISPLAY

22

BASICS

HOW TO GET THE

DERIVATIVE AT A POINT .3 when 3 of derivative theFind 23 xxx

:ENTER

45

)3(

:DISPLAY

3

23

x

XXdx

d

PAST ECE BOARD EXAM

)1(

2.2.

)1(.

)1(

2.

1equation theateDifferenti

2

2

2

2

x

xdxc

x

xb

x

xxa

x

xy

d.substitute is x of valuesame when choices theof value the tovalue

thiscompare and 2say x x,of any valueat y ateDifferenti :Technique

:ENTER

8888888889.0

21

:DISPLAY

2

xx

x

dx

d

ADVANCE

PAST ECE BOARD EXAM d.substitute being is x of value theas choices theit to Compare :Note

2 x Substitute )1(

2)

2

2

x

xxa

:ENTER

8888888889.0

)1(

2

:DISPLAY

2

2

x

xx

3

4

)1(.42.

3

2

)1(.

:follows as summarized are

2 when x choices theofrest theof valuesThe

2

2

2

2

x

x

x x

xdxc

x

xb

2

2

)1(

2a. :Answer

x

xx

ADVANCE

x 0

1 cos xlim

sinx

HOW TO GET THE LIMIT

OF A FUNCTION

ADVANCE

0 :Answer

HOW TO GET THE LIMIT

OF A FUNCTION

ADVANCE

3/7 :Answer

3

3x

3x 4x 2lim

7x 5

BASICS

HOW TO INTEGRATE

2

1

5 )13( Evaluate dxxx

:ENTER

16

13

:DISPLAY

2

1

5 dxxx

3

2 2

xdx

4 x

2

1C

4 x

2

xC

4 x

2

3C

2 4 x

2

1C

2 4 x

x

x

edx

e 1

2

.ln 1 C. ln 1

.ln 1 D.ln 1

x x

x x

A e C e C

B e C e C

MODE 2 :

COMPLEX NUMBER

CALCULATIONS

HOW TO SOLVE COMPLEX NUMBERS

BASICS

argument. theFind b.

value.absolute theFind a.

4i- 3 znumber complex For the

053.13 isargument theand 5 is valueabsolute The :Answer

13010235.535

43

:DISPLAY

ri


BASICS

product. thefind 2i),3i)(5-(2 :Given

i

ii

1116

)25)(32(

:DISPLAY

:ENTER


BASICS

2i-5

3i4 :Simplify

i

i

i

29

23

29

14

25

34

:DISPLAY

:ENTER

HOW TO GET THE COMPONENT OF A

FORCE AND RESULTANT OF FORCES

BASICS

037300NF force theof componentsy and x theFind

i5445069.180590635.239

37300

:DISPLAY

0

:ENTER

N. 180.54 iscomponent y theand N 239.5 iscomponent x The :Answer

ADVANCE

number?imaginary an is where)1( of value theFind 5 ii

:ENTER

PAST CE/ECE BOARD EXAM

23 )1()1( as Rewrite :Technique ii

:ENTER

i

ii

44

)1()1(

:DISPLAY

23

MODE 3 :

STATISTICAL AND

REGRESSION

CALCULATIONS

HOW TO FIND THE MEAN AND

STANDARD DEVIATION

BASICS

mean. theFind hrs. 888 and 852, 840, 859,

867, lastingafter out burned bulbslight Five

2.861

:DISPLAY

x8885

8524

8403

8592

8671

:DISPLAY

x

BASICS

PAST ME BOARD EXAM

197 183 176 164 156 144 132 112 :Data

deviation. standard the

determine data, lstatistica following Given the

ENTER

1978

1837

1766

1645

1564

1443

1322

1121

:DISPLAY

x

21545346.26

x

:DISPLAY

ADVANCE

10... 7, 4,n progressio arithmetic theof term30 theFind th

:ENTER

PAST CE/ECE BOARD EXAM

:ENTER

722

411

yx

:DISPLAY

91

Y 03

:DISPLAY

If the first term of an arithmetic progression is 3 and its tenth term is 39:

a. Find the fourth term

b. 23 is what term of the progression

ADVANCE

term.8 theFind 1944. is 6th term theand 216 isGP theof term4 The thth

PAST CE BOARD EXAM

:ENTER

17496

Y8

:DISPLAY

194462

21641

y x

:DISPLAY

:ENTER

If the first term of a geometric progression is 4 and its fifth term is 324:

a. Find the third term

b. 108 is what term of the progression

THANK YOU VERY

MUCH AND

GOD BLESS!!!

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