calcu teknik session

8/13/2019 Calcu Teknik SESSION

1/23

CALCULATOR TECHNIQUES

SESSION 1

1. What are the roots of the polynomial:A. -3, -4B. 6, 2C. 2, 3D. 3,4

Set Calculator to euation mo!e: "#$%&'&3 for ua!ratic euation"o!e 3 (ecause our polynomial is a 2n! !e)ree euation..

*nput the euation coefficients a,(,c:1 + - + 1 2 + +

An! you ill )et the anser..

2. What are the roots of the polynomial:A. 1,2,3B. 1,2,'C. 1,2,4$. 2,3,'

Set Calculator to euation mo!e: "#$%&'&4 for cu(ic euation"o!e 4 (ecause our polynomial is a 3r! !e)ree euation..

*nput the euation coefficients a,(,c:1 + - + 1 4 + - + +


3. Which of the folloin) is a possi(le root of the polynomial:A. 3B. /C. -2$. 4

0#%: A root is any alue that, hen su(stitute! to the aria(leie 5, ill satisfy the euation.*n our euation /+/ 5

Set the calculator to computation mo!e: "#$%&1*nput #07 the left si!e of the euation.rial an! error, 8se the CAC8 function..9a) na)tanon) an) calculator ; iinput an) m)a choices..; 3 +output is 24/..repeat the step until you )et an output of /..An! you ill )et the anser..

4. , 16=1>B. -24=1>, -22=1>C. 12=1>, -16=1>D. 24/19, 22/19

Set calculator to euation mo!e: "#$%&'&1 for to-aria(le euation.

*nput the coefficients of a,( an! constant c of the first euation:2 + 3 + 6 +


2/23

*nput the coefficients of a,( an! constant c of the secon! euation:-3 + ' + 2 +

9ress the + to )et the alue of an! press a)ain to )et the alue of y..An! you ill )et the anser..

'. he euation has to rational roots, (oth of hich are positie. . Sole for the alue ofA. 1.>1B. 2.1>C. 1.19$. 2.>1


3/23

Set the calculator to computation mo!e*nput the euation in the calculatoras is5An! you ill )et the anser..

1/. Sole for the alue of in the euation:A. 1.91B. 1.1>C. 1.46$. 2.13

Set the calculator to computation mo!e*nput the euation an! use the S#@%$ function to )et the alue of ..o )et the S#@%$ function, S*2/C. >2//$. 22>/

Set the calculator to computation mo!e: "#$%&1*nput the euation as is (ut replace ith ..hen press +..An! you ill )et the anser..

12. ..What e !o as ell in the preious eamples lie this is calle! ?%@%?S% %0D*0%%?*0D..


4/23

14. 4,323

1. Set the calculator to SA mo!e.."#$% 3&' or "#$%3&6 itFs the same for Deometric 9ro)ression, D.9.5

"ay maiita ayo an! 7 column..An! column natin ay an) nth term hile sa 7 column natin ay an) D.9..2. *nput sa column an) 1,2,31st term,2n! term, 3r! term5..Sa 7 column naman, iinput an) 3,>,2..Which mean the 1st term of the D.9. is 3, 2n! term is > an! 3r! term is 2..3. After niyo mainput, press AC!onFt orry hin!i ma(u(ura an) !ata niyo5Sa pro(lem an) hinahanap ay an) pan) 12th term..anu (a an) alue n) ia-12th term;..meanin) an) hinahanap an)alue sa 7 column..)ets;..4. herefore, type 127-hat..

'. hen press +..An! you ill )et the anser..Kung may tanong kayo dito at di niyo makuha pakipost na lang..

16. What is the sum of the first 2/ terms of the seuence: 1, 3, ', ...A. 361B. 3>1C. 4//D. 441

1. Set the calculator to SA mo!e: "#$% 3&2 since it is A.9.52. *n the column, input 1,2,3..*n the 7 column, input 1,3,'..3. After you input the !ata, press AC..$onFt orry your !ata ill not (e !elete! unless you chan)e your mo!e5

4. 9ress S*


5/23

1. What is the sum of the infinite series: 1, -1=', 1=2', . . .A. 5/6B. 4='C. '=$. 6=

1. Set the calculator to Computation "o!e.."#$%&1Since this is an infinite series, ith a common ratio of less than 1, then the sum is a finite num(er..0#%: $. '462

1. Set the Calculator to SA mo!e.."#$%3&2 * hope you alrea!y no hy "#$% 3 252. *n the column, input 1,2,3....*n the 7 column, input 6,>,12 then press AC..3. We shoul! )et the sum (ut e !onFt no ho many term !oes it hae..So letFs !etermine ho many terms ithas..%arlier in this tutorial * sai! is for nth term an! 7 is for pro)ression..herefore, our co!e is 11-hat..Since 11 isour last term..An! the calculator ill !isplay '64. no use the S8""A*#0 function lie in num(er 26 (ut this time, its 1,'6..

1>. What is the 6th term of the infinite series: 1, -1=', 1=2', ...A. 1=312'B. 1=1'62'C. -1/3125$. -1=1'62'

1. Set the calculator to Computation mo!e..2. *nput the )eneral euation of the infinite series an! su(stitute ' to usin) the CAC function to !isplay the 6thterm..An! press +

2/. ?ationaliHe the )ien euation:

A. 2-'iB. 'E1/i5=6

C. 1+2i$. 2Ei5=3

1. Set the calculator to C#"9% mo!e.."#$%&22. *nput the euation as it is in the calculator..0#%: he ima)inary i is foun! (y pressin) the %0D ey..3. hen press +



6/23

SESSION 2

1. Su(tract

A.

B.

C.

$.

Code:

Si)uro naman ayan) aya niyo na ito..:$

2. $urin) a rain, 2mm of ater fell. 312 in mI3..Conert this to iters..1 mI3 + 1///..An! it ill !isplay />3.12 in ..


7/23

'. $etermine the area of the trian)le (oun!e! (y the strai)ht lines E2y-+/, 3-4y-1+/, an! 2-yE6+/..A. 1/ s.unitsB. 1' s.unitsC. 20 )*.i$)$. 2' s.units

5C. -3,->5

$. 3,>5

Su(stitute an! y in the )eneral euation of circle..*n the first point you ill )et the euation -3$-%E


8/23

herefore our center h,5 is at -3,>5..

. '

8se SA 2for A.9.5*n the column enter 1,2*n the y column enter 2,' then press AC..8se the S8""A*#0 . B8 use SA 6for D.9.5hen use the S8""A*#0 function to )et the sum..An! you ill )et the anser..

1/. *n ho many ays can a picture (e painte! (y usin) three35 or more of the seen5 !ifferent colors;.A. /B. 99C. 1/'$. 12/

Set the calculator to C#"9 "#$%..We use the C#"B*0A*#0 function..*t ill (e foun! (y pressin) S*


9/23

"#$% 4..Set to B*0 then type the num(er..9ress $%C an! you )ot the anser..

Ai$i"! TIGun) hin!i na asya sa calculator at so(ran) ha(a n) B*0 mo, iconert mo muna sa #C..1/1+'11/+6//1+1

111+1/1+'

Set to #C an! type the #C euialent, '61'An! press $%C an! you )ot the anser..

12.


10/23

Ai$i"! TI*f A=B, $#0F use !ii!e, instea! use the reerse function..An! it ill (e lie this

14.


11/23

$ii!in) the results an! you )ot the anser..

1.

When you are )ettin) the slope of the line usin) the first !eriatie, hat you are )ettin) is the slope of the tan)entline..o )et the slope of the 0ormal ine, you )et the ne)atie reciprocal of this..So, )et the first !eriatean)ent slope5 of the )ien euation ith +1)ien in the pro(lem5

An! )ettin) the ne)atie reciprocal of this e hae -1=4..hen )et the euation usin) SA 2..

An! press AC..Det A an! B..S*


12/23

an! press CAC

; /; e; 1; 1=eGun) anu sa choices an) na) eual to /, yun an) sa)ot..

21.


13/23

Gaya po ne)atie yun) isa asi !umaan po sa ne)atie half cycle..An! you ill )et the anser..

24. $etermine the area of the re)ion (oun!e! (y the curean! the -ais,A. 2.2' s. unitsB. 2.' s. unitsC. 3 s. unitsD. 3/12 )*. i$)

Det the limits from the euation..8se %K0 4..

An) you ill )et the anser..

2'. >..8se %K0 4..2 ' / ->>Det the real num(er an! that is your upper limit..

hen inte)rate the euation usin) your loer an! upper limit..An! you ill )et the anser..


14/23


15/23

An+Ao eI-t

here:

- rate constant alueAn - amount after tAo - initial amountt1=2 - half life

sa pro(lem na ito unin muna natin un) alue n) then su(stitute natin yun) nauhan) alue n) sa t1=2 alue..

$ahil sa ito ay ra!ioactie, na)iincrease ito eponentially. Which means un) eponentially ito, )a)amitin natin an)SA '..

An) column natin ay an) timehr5 an! y column natin ay uantity..-----O-----7/-----O-----1/2-----O----->

since time in its half life an) hinahanap, press AC then fin!

32. A thermometer rea!in) is (rou)ht into a room here the temperature is N 1 min later, the

thermometer rea!in) is .


16/23

?efractie in!e formula

34. At the surface of the earth, . Assume the earth to (e a sphere of ra!ius 6,31 m, compute themass of the earth.

A.

B.

C.

$.

B8


17/23

#r pe!e !in ito:

3. $etermine the ar)ument of the result ofA. -2B. 2C. 6.>D. 159.4

*-type lan) po natin sa calcu yun) )ien then press +Conert po natin sa polar form then (ooomm..7un na..

3>. he resistance of a ire is 126.4 ohms at 1// !e)rees C an! 1// ohms at 3/ !e)rees C. $etermine thetemperature hen the resistance is 11' ohms.A. 6'.1' !e)rees CB. 69.65 &&&) CC. 1.2' !e)rees C$. '.4' !e)rees C

SA 2 column + temp.7 column + ?esistance

------ O ---7------1// O ---126.4---3/ O ---1//

4/. What is the present orth of to 1/,/// pesos payment at the en! of the 3r! an! 4th year if the annual interest isP compoun!e! uarterly;A. 15, 169B. 9 1', 2C. 9 16, 21$. 9 1, 264

An) formula po tala)a nito ay

here:< + future orth9 + present orthi + interest ratem + num(er of compoun!in)uarterl, semi-anually, annually etc5t + timeyears,month, !ays, etc5

Gun) alam niyo un) paano computin sa lon) metho!, then )o.. :$hen ito po yun) sa CAC8 %C0*K8%:


18/23


19/23


20/23

B.

C.

$.

Same lan) sa J. * hope you )et it. hatFs hat you calle! reerse en)ineerin).

>.


21/23

A.

B.

C.

D.

So, mano-mano ito since alan) shortcut pa) secon! !eriatie. Sa (oar! eam may )anyan. So letFs test un)marunon) pa ayo sa mano-mano.

13.


22/23

*su(stitute an) lahat n) choices at un) saan na)error, yun na.

1. . *f y+4cos E sin 2, hat is the slope of the cure hen + 2 ra!ians;A. -2.21B. -4.94C. -3.21$. 2.21Kuote:

same ith J1.

2/.


23/23

Steps: By calculator techniue >1%SE5:

L&$ $ G ) 9a.

calcu teknik session

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