Calculator Techniques REX

CALCULATOR

TECHNIQUES

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

Sec) Min (Degree DMS to . Convert237 6150

HOW TO CONVERT BETWEEN

DEGREES, RADIANS AND GRADIANS

BASICS " 54 ' 36 237 237.615 : 0 O DISPLAY

degrees. decimal to 47'12" 21 Convert 0

HOW TO CONVERT BETWEEN

DEGREES, RADIANS AND GRADIANS

BASICS 7 21.7866666 12 47 21 : 0 0 0 DISPLAY

. 1200 to radians Convert

HOW TO CONVERT BETWEEN

DEGREES, RADIANS AND GRADIANS

BASICS  3 2 120 : 0 DISPLAY

degrees. to radians 2 π Convert

HOW TO CONVERT BETWEEN

DEGREES, RADIANS AND GRADIANS

BASICS

90

2

:

r



DISPLAY

system? centesimal in 120 is What 0

PAST CE BOARD EXAM

BASICS ENTER

3

400

20

1

:

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 the of coordinate polar the Find

HOW TO GET THE POLAR AND

RECTANGULAR COORDINATE OF A

POINT IN THE CARTESIAN PLANE

BASICS

PAST ECE BOARD EXAM

P(-3,-4) point the contains side terminal the if cos of value the Find



: Solution

HOW TO GET THE POLAR AND

RECTANGULAR COORDINATE OF A

POINT IN THE CARTESIAN PLANE

BASICS

PAST ECE BOARD EXAM

8698976 . 126 , 5 ) 4 , 3 ( :     



r Pol DISPLAY Y. to and X lly to automatica stored is r : NOTE



5 3 ) cos( :  Y DISPLAY

BASICS ). (3,120 is coordinate polar whose point a of coordinate r rectangula the Find 0 59807621 . 2 , 5 . 1 Rec(3,120) : DISPLAY    Y X

HOW TO SOLVE COMBINATION

AND PERMUTATION PROBLEMS.

BASICS

PAST ECE BOARD EXAM

collinear? are which of three no points distinct 10 by formed are gles many trian How 10C3. is points collinear non 10 from formed be can that triangles of number The : Solution 120 3 10 : DISPLAY C

BASICS contest? essay student a in finalists 10 the among from up runner first the and winner the choose judges can the ways different many how In here important is order : Note time. a at 2 taken finalists 10 are There : Solution 90 2 10 : DISPLAY P

HOW TO EVALUATE FACTORIAL

NUMBERS

BASICS

10!

of

value

the

Find

3628800 ! 10 : DISPLAY

6

5

3

3

6

) if f(x)



x

4



x

2

-

x



(

Evaluate f

HOW TO EVALUATE

FUNCTIONS

BASICS 3972 6 5 3 3 : DISPLAY 2 4    x x x

3 2 2 2 3 2 3 4 , 3 , 4 ) if f(x y) x y x y- xy y ( Evaluate f    

HOW TO EVALUATE

FUNCTIONS

BASICS

2. by x divided is 4 x 4x -2x 3x when remainder the Find 4  3 2   

PAST ME BOARD EXAM

BASICS ) f(-remainder , x x -x x f(x) Solution: 2 4 4 2 3 4  3 2     18 4 4 2 3 : DISPLAY 2 3 4     x x x x

18

Remainder

:

Answer



? x -x -x x of x ) a factor Is (x 3 6  6 5 8 4 6 3 9 2

HOW TO EVALUATE

FUNCTIONS

BASICS 2 3 4 5 6 9 6 8 6 of factor a is 3 then x 0, f(-3) Since : x -x -x x x Conclusion    

HOW TO USE THE ∑ SIGN

BASICS 20 ... 3 2 1 sum. the Find    

210

:

DISPLAY

20 1

x

x





)

4

(

5

)

3

(

4

x

x

SOLVE







HOW TO SOLVE LINEAR

EQUATIONS

? , 9 , 2 , 4 ), 2 2 ( 7 Y of value the is what A and D X Y X D A If     

HOW TO SOLVE A

SPECIFIC VARIABLE

BASICS

HOW TO USE MULTILINE FUNCTION

BASICS 12m. 8m, 6m, are sides whose triangle a of area the Find

:

ENTER

PAST EE BOARD EXAM

2 c b a s c) -b)(s -a)(s -s(s A : Formula s Heron' Using : Solution    

HOW TO USE MULTILINE FUNCTION

BASICS

:

ENTER

C) -B)(X -A)(X -X(X : 2 C B A X : DISPLAY   

PAST EE BOARD EXAM

13 2 C B A X : DISPLAY    455 ) )( )( ( : DISPLAY C X B X A X X   

HOW TO USE LOGARITHMIC EQUATIONS

BASICS 10 5) (x log x log in for x Solve ₂  ₂  

:

ENTER

PAST ME BOARD EXAM

0

R

-L

9

29.5975076

X

10

5)

(x

log

x

log

:

DISPLAY

2 2











BASICS

HOW TO GET THE

DERIVATIVE AT A POINT

. 3 when 3 of derivative the Find x3  x2 x 

:

ENTER

45

)

3

(

:

DISPLAY

3 2 3 



x

X

X

dx

d

PAST ECE BOARD EXAM

) 1 ( 2 . 2 . ) 1 ( . ) 1 ( 2 . 1 equation the ate Differenti 2 2 2 2       x x d x c x x b x x x a x x y d. substitute is x of value same when choices the of value the to value this compare and 2 say x x, of any value at y ate Differenti : Technique 

:

ENTER

8888888889 . 0 2 1 : DISPLAY 2         x x x dx d ADVANCE

PAST ECE BOARD EXAM

d. substitute being is x of value the as choices the it to Compare : Note 2 x Substitute ) 1 ( 2 ) ₂ 2    x x x a

:

ENTER

8888888889 . 0 ) 1 ( 2 : DISPLAY 2 2   x x x       3 4 ) 1 ( . 4 2 . 3 2 ) 1 ( . : follows as summarized are 2 when x choices the of rest the of values The 2 2 2 2          x x x x x d x c x x b   2 ₂ ) 1 ( 2 a. : Answer   x x x ADVANCE

x

0

1 cos x

lim

sin x





HOW TO GET THE LIMIT

OF A FUNCTION

ADVANCE

0

:

Answer

HOW TO GET THE LIMIT

OF A FUNCTION

ADVANCE

3/7

:

Answer

3

3

x

3x

4x

2

lim

7x

5









BASICS

HOW TO INTEGRATE



  2 1 5 ) 1 3 ( Evaluate x x dx

:

ENTER

16

1

3

:

DISPLAY

2 1 5

dx

x

x















3 2 ₂ xdx 4 x  _  2 1 C 4 x  _  2 x C 4 x   2 3 C 2 4 x  _  2 1 C 2 4 x

x x

e

dx

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.

the

Find

b.

value.

absolute

the

Find

a.

4i

-3

z

number

complex

For the



0 53.13 is argument the and 5 is value absolute The : Answer 13010235 . 53 5 4 3 : DISPLAY     i  r 

HOW TO SOLVE COMPLEX NUMBERS

BASICS

product.

the

find

2i),

3i)(5

-(2

:

Given



i i i 11 16 ) 2 5 )( 3 2 ( : DISPLAY   

:

ENTER

HOW TO SOLVE COMPLEX NUMBERS

BASICS

2i

-5

3i

4

:

Simplify



i i i 29 23 29 14 2 5 3 4 : DISPLAY   

:

ENTER

HOW TO GET THE COMPONENT OF A

FORCE AND RESULTANT OF FORCES

BASICS 0 37 300N F force the of components y and x the Find   i 5445069 . 180 590635 . 239 37 300 : DISPLAY 0  

:

ENTER

N. 180.54 is component y the and N 239.5 is component x The : Answer

ADVANCE number? imaginary an is where ) 1 ( of value the Find i 5 i

:

ENTER

PAST CE/ECE BOARD EXAM

2 3 ) 1 ( ) 1 ( as Rewrite : Technique i i

:

ENTER

i i i 4 4 ) 1 ( ) 1 ( : DISPLAY 2 3    

MODE 3 :

STATISTICAL AND

REGRESSION

HOW TO FIND THE MEAN AND

STANDARD DEVIATION

BASICS mean. the Find hrs. 888 and 852, 840, 859, 867, lasting after out burned bulbs light Five 2 . 861 : DISPLAY x 888 5 852 4 840 3 859 2 867 1 : DISPLAY x

BASICS

PAST ME BOARD EXAM

197 183 176 164 156 144 132 112 : Data deviation. standard the determine data, l statistica following Given the ENTER 197 8 183 7 176 6 164 5 156 4 144 3 132 2 112 1 : DISPLAY x 21545346 . 26 x : DISPLAY 

ADVANCE 10... 7, 4, n progressio arithmetic the of term 30 the Find th

:

ENTER

PAST CE/ECE BOARD EXAM

:

ENTER

7 2 2 4 1 1 y x : DISPLAY 91 Yˆ 0 3 : DISPLAY

If the first term of an arithmetic

progression is 3 and its tenth term is 39:

a. Find the fourth term

ADVANCE term. 8 the Find 1944. is 6th term the and 216 is GP the of term 4 The th th

PAST CE BOARD EXAM

:

ENTER

17496 Yˆ 8 : DISPLAY 1944 6 2 216 4 1 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

THANK YOU VERY

MUCH AND