Texas Instruments TI-30X B manual

Copyright © 2006 T exas Instruments Incorporated 1 TI-30XS MultiView™ and TI-30XB MultiView™ Scientific Calculator Important informat ion ......... .......... ........ .......... ........... .......... .. 2 Examples . .......... ........... ....... ........... .......... ........... .......... ....... 3 Switching the TI-30XS MultiV iew calcula[...]

Copyright © 2006 T exas Instruments Incorporated 2 Constant .. .......... ........... .......... ........ .......... ........... .......... ..... 24 Memory and stor e d va r ia bl es . ... .......... ........ .. ... ........ .. ... ... .. 26 Data editor and list formulas ........ ........... ....... ........... .......... 2 9 Statistics .. .......[...]

Copyright © 2006 T exas Instruments Incorporated 3 Examples Each s e ct ion is fol l o w ed by instr uctio ns f o r keys tr o ke examples that demonstrat e the TI-30XS MultiView™ and TI-30XB MultiView functi ons. All references in t his manual will refer to the TI -30XS MultiView, b ut are also applicable for the TI-30XB MultiView. Examples assu[...]

Copyright © 2006 T exas Instruments Incorporated 4 Home screen On the Home screen, you can enter mathe matical expressions and f unct ions, along with other inst ru ctions. The answers are displaye d on the Ho me screen. The TI -30XS MultiView screen can display a maximum of four lines with a maximum of 16 characte rs per line. For ent ries and ex[...]

Copyright © 2006 T exas Instruments Incorporated 5 2nd function s % Most keys can perform two funct ions. The primary function is indicated on the key and the se c ondary function is displayed above it. Press % to act ivate the secondary fu nction of a given key . Notice that 2nd appears as an indicato r on the screen. T o canc el it before enteri[...]

Copyright © 2006 T exas Instruments Incorporated 6 Note : In some res trict ed env ironments (for example function table, data editor, a nd the %h menu), t he TI-30XS MultiView™ calculator may display E instead of à 10 n . ENG displays results as a numbe r from 1 to 999 times 10 to an integer power . The inte ger power is always a multiple of 3[...]

Copyright © 2006 T exas Instruments Incorporated 7 Menus Certain keys display menus: H , % I , v , %t , % , %h , and %{ . Some keys may disp lay more t han one menu. Press " and $ to sc ro ll and select a menu item, or press the corresponding number next to the menu ite m. T o return to the previous screen without select ing the item, pres[...]

Copyright © 2006 T exas Instruments Incorporated 8 The menu chart shows the menu keys and t he menus th ey display . H% I vv (Press once to displa y the Data editor screen. Pre ss again to display the menu.) Press v while you are in the Add/Edit Formula option of the FORMULA menu t o display this menu : PRB RAND DMS R ¶ P 1: nPr 1: rand 1: Ä 1: [...]

Copyright © 2006 T exas Instruments Incorporated 9 %t % %h %{ Scrolling ! " # $ Press ! or " to place the cursor h orizontally over t he expression en tered. Press % ! or % " to move the cursor directly to the beginn ing or end of the expressi on. After an expre ssion is eva luated, use # and $ to scroll through previous entries,[...]

Copyright © 2006 T exas Instruments Incorporated 10 Examples Answer toggle n Press the n key to toggle the d isplay re sult betwee n fract ion and decimal answe rs, exact square root and decimal, and exact pi and decimal. Example Scroll 1 T 1 < 2 T 2 < 3 T 3 < 4 T 4 < # # # # < T 2 < Answer toggle % b 8 < n[...]

Copyright © 2006 T exas Instruments Incorporated 11 Last answer % i The most recently calc ulat ed result is stored to the variable Ans . Ans is reta ined in memo ry , even after the TI-30XS MultiView™ calculator is turned off. T o recall the value of Ans : •P r e s s % i ( Ans display s on the screen), or • Press a ny operat io ns key ( T ,[...]

Copyright © 2006 T exas Instruments Incorporated 12 Examples 5th Exponentiation ( ^ ) and roots ( x Ñ ). Note : In Classic mode, exponentiation is evaluated from le ft to right. The expre ssion 2^3^2 is evaluated as (2^3)^2, with a result of 64. In MathPrint™ mode, ex ponen tiation is evaluated from right to left. The expression 2^3^2 is evalua[...]

Copyright © 2006 T exas Instruments Incorporated 13 Clearing and correcting Fractions q% N % j % O In the MathPrint™ mode, fractio ns wi th q can include operation keys ( T , V , etc.) and most function ke ys ( F , %_ , etc.). In Classic mode, frac tion s with q do not allow operatio n keys, funct ions, or comple x fr actions in the numerator or[...]

Copyright © 2006 T exas Instruments Incorporated 14 The TI-30XS MultiView™ calcu lator defaults output to improper fractions. Result s ar e automatically simplifi ed. • q enters a simple fraction . Pre ssing q before or a fter a number can result in d if fe rent b ehavio r . Entering a number before pressi ng q makes that number the numerat or[...]

Copyright © 2006 T exas Instruments Incorporated 15 Percentages % _% R T o perform a calculat ion involving a percentage, p ress % _ after entering the value of the pe rce ntage. T o express a value as a percentage, press %R afte r the value. Example ³ Problem A mining company extr acts 5000 tons of ore with a concentratio n of met al of 3% and 7[...]

Copyright © 2006 T exas Instruments Incorporated 16 The two extract ions represent a tot al of 317.9 tons of metal for a total value of 89012 dollars. x10 n key C C is a s hortcut ke y to enter a number in scientific notat ion format . Example Powers, roots and inverses T 2 8 3 % _ V 7300 < V 280 < 2 C 5 < p$"< -< F Calculates [...]

Copyright © 2006 T exas Instruments Incorporated 17 Examples Pi g À = 3.141592653590 for c alculat ions. À = 3.141592654 for display . %c Calculates th e n th root of any positive value and any odd integer root of a negat ive value . a Gives the inverse of a valu e: 1/ x. The TI-30XS MultiView™ calculator evaluates expressions entered with F a[...]

Copyright © 2006 T exas Instruments Incorporated 18 Example ³ Problem What is the area of a circle if the rad iu s is 12 cm? Reminder: A = À r 2 . The area of the circle is 144 À square cm. The area of the circle is approximately 452.4 sq uare cm when rounded to one decimal place. Angle menu %I %I displays the ch oice of two submenus that enabl[...]

Copyright © 2006 T exas Instruments Incorporated 19 Examples ³ Problem T wo adjacent angles measure 12 ¡ 31 ¢ 45 £ and 26 ¡ 54 ¢ 38 £ respectively . Add the two angles and display the result in DMS format. Round the re sults to two decimal places. RAD p"< - > 3 0 %I 1 E < DEG p< - 2 g% I 4 < 4 DMS S 1 8 5 %I 6 < -p$$&[...]

Copyright © 2006 T exas Instruments Incorporated 20 The result is 39 degrees, 26 minutes and 23 seconds. ³ Problem It is known that 30 ¡ = p / 6 radians. In the defau lt mode, degrees, fi nd the sine of 30 ¡ . Then set the calculator to radian mode and calculate the sine of p / 6 ra dians. Note : Press - to clear the screen b etween problems. R[...]

Copyright © 2006 T exas Instruments Incorporated 21 Example Convert polar coordinates (r , q )=(5, 30) into rect angular coordinates. Then convert rect angular coordinates ( x , y ) = (3, 4) into polar coordinat es. Round the results to one decimal place. Converting (r , q ) = (5, 30) gives ( x , y ) = (4.3, 2 .5) and ( x , y ) = (3, 4) gives (r ,[...]

Copyright © 2006 T exas Instruments Incorporated 22 Example Radian Mode ³ Problem Find angle A of the right tria ngle below . Then calculate angle B and the length of the hyp otenuse c . Lengths are in meters. Round results to one decimal p lace. Reminder: Ta n p"<- @ gq 4 "E < Ta n -1 % 1 E< n Cos 5 V?gq 4 "E < n tan [...]

Copyright © 2006 T exas Instruments Incorporated 23 T o one decimal place, the measure of a ngle A is 66.8 Ä , the measure of angle B is 23.2 Ä , and the length of the hypotenuse is 7.6 meters. Hyperboli cs % Y % Y displays the HYP indicator and accesses the hyperbolic function of the next trigono metry key tha t you press. Angle modes do not af[...]

Copyright © 2006 T exas Instruments Incorporated 24 Logarithm and exponen tial functions AB % ] % ^ A yields the common logarithm of a number . B yields the logarit hm of a numb er to the base e ( e 2.819291929). % ] raises 10 to the power you specify . % ^ raises e to the power you specify . Examples Constant % l % l turns Constant feature on and[...]

Copyright © 2006 T exas Instruments Incorporated 25 4. Each subsequent time you press < , the TI-30XS MultiView™ calculat or reca lls the stored operation and applies it to t he last a nswer or the current entry . Press % l again to turn Constant feature of f. Examples K % l V 2 T 3 < 4 < 6 < Reset K % l % l - F < 5 < 20 < T[...]

Copyright © 2006 T exas Instruments Incorporated 26 ³ Problem Given the linear f unction y =5 x – 2, calculate y fo r the following values of x : -5; -1. Memory and stored variable s zL % h % { The TI-30XS MultiView™ calc ulato r has 7 memory variables— x , y , z , t , a , b , and c . Y ou can store a real n umber or an expression that resu[...]

Copyright © 2006 T exas Instruments Incorporated 27 % h recalls the va lues of variables. Press % h to display a menu of variables and their stored values. Select the variable you want to recall and press < . The valu e assigned to the variable is inse rted into the current entry and used to evaluate the express ion. % { clears variable v alues[...]

Copyright © 2006 T exas Instruments Incorporated 28 ³ Problem In a gravel q uarry , two n ew excavations have been o pened. The first one measures 35 0 meters by 560 meters, th e second one measures 340 met ers by 610 meters. What volume of gravel do es the company need t o extract from each excavation to re ach a depth of 150 meters? T o reach 2[...]

Copyright © 2006 T exas Instruments Incorporated 29 For the firs t excavation : The company needs to extract 29.4 million cubic meters to re ach a dep th of 150 meters, an d to extract 41.16 million cubic meters t o reach a depth of 210 meters. For the second excavati on: The company needs to ext ract 31.1 1 million cubic meters to re ach a depth [...]

Copyright © 2006 T exas Instruments Incorporated 30 Notice L2 is calculated p er t he formula you entere d, and L2(1)= in the author line is high li ghted to indicate t he list is the result of a formula. ³ Problem On a November d ay , a weather report on the I nternet lis ted the following temperatures. Paris, Fra n ce 8 Ä C Moscow , Russia -1 [...]

Copyright © 2006 T exas Instruments Incorporated 31 If Sydney , Australia is 21 Ä C, find the te mperature in degrees Fahrenheit. Statistics % t v % t displays a menu with the following options: • 1-V ar Stats analyzes statistic al data from 1 d ata se t with 1 measured variable, x . • 2-V ar Stat s analyzes paired data fro m 2 data sets with[...]

Copyright © 2006 T exas Instruments Incorporated 32 T o define statistical data p oints: 1. Enter data in L1, L2, or L3. (See Dat a editor .) 2. Press % t . Select 1-V ar or 2-V ar and press < . 3. Select L1, L2, or L3, and the frequency . 4. Press < to display the menu of variables. 5. T o clear data, press v v , select a lis t to cle a r, [...]

Copyright © 2006 T exas Instruments Incorporated 33 2-V ar: Data: (45,30); (55,25). Find: x Å (45) ³ Problem For his last four tests, Ant hon y obtained the following scores. T ests 2 and 4 were given a weight of 0.5, an d tests 1 an d 3 were given a weight of 1. Stat V ar 2 < V 2 < Clear all data v v$$$ Data < 45 $ 55 $" 30 $ 25 $[...]

Copyright © 2006 T exas Instruments Incorporated 34 1. Find Anthony’s avera ge grade (weighted averag e). 2. What does the value of n given by the calculator represent? What does the value of Ò x give n by the calculator represent? Reminder: The weig hed average is 3. The teacher gave Anthony 4 more points on test 4 due to a grading error . Fin[...]

Copyright © 2006 T exas Instruments Incorporated 35 Change Anthony’ s last score from 1 1 to 15. If the teacher adds 4 po in ts to T est 4, Anthony’ s average grade is 12. ³ Problem The table below gives the results of a braking test. Use the relationship between speed and braking distance to estimate the braking distance r equired for a vehi[...]

Copyright © 2006 T exas Instruments Incorporated 36 This line of best fit , y '=0.67732519 x '-18.666 37321 models the linear trend of the data. The linear model gives an esti ma ted braking distance of 18.59 meters for a vehicle tr aveling at 55 kph. Probability H This key di splays two menus: PRB and RAND . PRB contains the following o[...]

Copyright © 2006 T exas Instruments Incorporated 37 RAND contains the following opt ions : Examples ! A factorial is the prod uct of the positive integer s from 1 to n . n mus t be a positive whole number { 69. rand Generates a random real number between 0 and 1. T o control a sequenc e of random numbers, store an integer (seed va lue) | 0 to rand[...]

Copyright © 2006 T exas Instruments Incorporated 38 ³ Problem An ice cream store advertises that it makes 25 flavors of home made ice cream. Y ou like to order three dif ferent fl avors in a dish. How many combination s of ice cream can you test over a very hot summe r? Y ou can choose from 2300 dishe s with dif ferent combinations of flavors! If[...]

Copyright © 2006 T exas Instruments Incorporated 39 The table is displayed using the specified values. ³ Problem Find the vertex of the parabola, y = x (36 - x ) using a table of values. Reminder: The vertex of the parabola is the point on the line of symmetry of the parabo la . After search ing clos e t o x = 1 8, th e po in t (18 , 324) app ear[...]

Copyright © 2006 T exas Instruments Incorporated 40 ³ Problem A charity collected $3,600 to help sup port a local food kitchen. $450 will be given to the food kitchen every month unt il the funds run out. How many months will the cha rit y supp ort the kitchen? Reminder: If x = months and y = money left, then y = 3600 - 450 x. The support of $450[...]

Copyright © 2006 T exas Instruments Incorporated 41 DOMAIN — Y ou specified an argument to a fu nction outside the valid range. For example: •F o r x Ñ y : x = 0 or y < 0 and x is not an odd integer . •F o r y x : y and x = 0; y < 0 and x is not an integer . •F o r Ñ x : x < 0. •F o r LOG or LN : x { 0. •F o r TA N : x = 90 [...]

Copyright © 2006 T exas Instruments Incorporated 42 LOW BA TTER Y — Replace the ba ttery . Note: This message displays briefly and then disappears. Pressing - does not clear th is message. Battery information Battery precautions • Do not leave batteries with in the reach of ch ildren. • Do not mix ne w and used batt eries. Do not mix brands [...]

Copyright © 2006 T exas Instruments Incorporated 43 • T o replace the battery , check the polarity (+ and -) and slide in a n ew ba t tery . Pr e ss firml y to sn ap the new battery into place. Important: When replac ing the battery , avoid any contact with the other component s of the TI-30XS MultiView™ calculat or . • If necessary , press [...]

Copyright © 2006 T exas Instruments Incorporated 44 Te x a s Instruments Support and Service For general information For technical support For product (hardware) service Custo mers in the U.S., Canada, Mex ico, Puerto Rico and Vir gin Islands: Always co nta ct T exas Instruments Cus tomer Support before returning a produc t f or service. All other[...]