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Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 0 of 48 TI-36X ý Scientific Calculator USER’S GUIDE 2000, 2003 Texas Instruments Incorporated education.
Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 0 of 48 Table of Contents Turning the Calculator On and Off............................ 1 Alternate Functions.........................................
1 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 1 of 48 Turning the Calculator On and Off The TI-36X ü is battery powered. • To turn on the TI - 36X ü , press T . • To turn off the TI - 36X ü , press %r .
2 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 2 of 48 Display The TI-36X ü has a two-line display. The first line ( Entry Line ) displays an entry of up to 88 digits or items (47 for Stat or Stored Operations).
3 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 3 of 48 Menus Some key presses access menus: S , R , e , - , 8 , & , / , . , %q , %p , %d , %^ , %m , %] , %6 , %f , %h , %Z , %t , % , and %s .
4 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 4 of 48 Clearing, Correcting, and Resetting Key Action 4 Action depends on position of the cursor. • If cursor is in the middle of an entry, clears character under the cursor and all characters to the right of the cursor.
5 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 5 of 48 Display Indicators Special indicators may appear in the display to provide additional information about functions or results. Indicator Meaning 2nd 2nd function is active.
6 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 6 of 48 Order of Operations The TI-36X ü uses EOS è (Equation Operating System) to evaluate expressions. Order Evaluation 1st Expressions inside parentheses.
7 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 7 of 48 Basic Operations As you press keys, numerals, operators, and results appear on the display. H , ? , @ , A , B , C , D , E , F , G Enters numerals 0 through 9.
8 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 8 of 48 ³ Examples 5 < 9 : 6 ; 2 V 5 è 9+6-2 ß 49. 5 <N 9 : 6 O; 2 V 5 è (9+6)-2 ß 73. W 8 8 7 < Ans ñ 8.7 ß 8.390804598 %t"""" F0123 456789 V Ans ñ 8.
9 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 9 of 48 Percent To calculate a percent, press %l after entering a value. ³ Problem A mining company mines 5000 tons of ore having a 3-percent concentration of metal, 7300 tons having a 2.
10 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 10 of 48 Fractions Fractional calculations can display fractional or decimal results.
11 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 11 of 48 Exponents, Roots, and Reciprocals P Calculates the square of a value. K Raises a value to any power within the range of the calculator. If the number is negative, the power must be an integer.
12 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 12 of 48 Notation %Z displays the Numeric Notation mode menu. • FLO (default): Displays results in floating notation, with digits to the left and right of the decimal point.
13 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 13 of 48 Pi 5 enters the value of p . It is stored internally to 13 digits ( 3.141592653590 ) and displayed to 10 digits ( 3.141592654 ). When multiplying p by a number, you do not need to press < ; multiplication is implicit.
14 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 14 of 48 Memory The TI - 36X ü has five memory variables. You can store a real number or an expression that results in a real number to a memory variable.
15 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 15 of 48 In addition to serving as a memory variable, E stores a seed value to generate a random number when you are using the Probability function (see page 32).
16 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 16 of 48 Stored Operations The TI-36X ü stores two operations, Op1 and Op2 . To store an operation to Op1 or Op2 and recall it: 1. Press %b or %c .
17 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 17 of 48 ³ Examples %b< 2 V OP1= è 2 3 2 3 è 2 ß 16 . 2 6 è 2 ß 2 12. 2 12 è 2 ß 3 24. %c: 5 V OP2=+5 10 3 10+5 ß 1 15. 3 15+5 ß 2 20.
18 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 18 of 48 Logarithms %d displays a menu of log functions. log Yields the common logarithm of a number. 10 ^ Raises 10 to the power you specify. ln Yields the logarithm of a number to the base e (e= 2.
19 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 19 of 48 ³ Problem A radioactive substance decays exponentially. If y o grams of certain radioactive substance are initially present, the number of grams y(t) after t days is given by the formula: y(t)=y o e -0.
20 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 20 of 48 Trigonometric Functions e displays a menu of the trigonometric functions ( sin , sin -1 , cos , cos -1 , tan , tan -1 ). Press " or ! to select the desired function, enter the value, and close the parentheses with O .
21 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 21 of 48 ³ Problem Find angle a in the right triangle below. Then find the length of the hypotenuse h and angle b. Measurements of length and height are in meters.
22 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 22 of 48 Angle Modes / displays a menu to specify the angle unit modifier for an entry: degrees ( é ), radians ( r ), grads ( g ), or DMS ( é ê ë ).
23 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 23 of 48 & displays a menu ( DEG RAD GRD ) to express angle measurements in degrees (default), radians, or grads, respectively. ³ Problem You probably know that 30 é = å /6 radians.
24 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 24 of 48 Rectangular / Polar %^ displays a menu to convert rectangular coordinates (x, y) to polar coordinates (r, æ ) or vice versa.
25 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 25 of 48 Hyperbolic Functions %m displays a menu of hyperbolic functions ( sinh , sinh -1 , cosh , cosh -1 , tanh , tanh -1 ). Angle modes do not affect hyperbolic calculations.
26 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 26 of 48 Metric Conversions Press . to access a menu of 20 conversions from the metric system into the English system and vice versa. Scroll through the choices with " and ! and select with V .
27 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 27 of 48 ³ Problem Convert 10 kilometers into miles. Then convert 50 miles into kilometers. Round results to two decimal places. 10 .""" Ý km ò mile & VV%t 2 10 km Þ mile ß 6.
28 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 28 of 48 Physical Constants Press %] to access a menu of 16 physical constants. Scroll through the choices with " and ! . Constant Value c speed of light 299792458 meters per second g gravitational acceleration 9.
29 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 29 of 48 ³ Problem A brick falls off the roof of a building and hits the sidewalk 3.5 seconds later. Find the height of the building in meters and then in feet, rounded off to the nearest whole number.
30 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 30 of 48 Integrals The TI-36X ü performs numerical integration using Simpson ’ s Rule.
31 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 31 of 48 ³ Problem Find ⌡ ⌠ 0 å /2 sin a + cos a da , using 10 intervals. Solve the problem again, using 20 intervals. &"V 0 SV 0 Þ A ß 0.
32 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 32 of 48 Probability Press %6 to access a menu of functions. nPr Calculates the number of possible permutations of n items taken r at a time. The order of objects is important, as in a race.
33 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 33 of 48 ³ Problem Compute n! r!(n-r)! where n=52 and r=5. 52 %6"" nPr nCr ! Þ V 52! ß =N 5 %6""V< N 52 ; 5 O%6""O V 52! ñ (5! è (52 & ß 2598960.
34 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 34 of 48 Statistics %f displays a menu. 1-VAR Analyzes data from 1 set of data with 1 measured variable: x. LIN Analyzes paired data with 2 measured variables: x , the independent variable, and y , the dependent variable.
35 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 35 of 48 To set up the problem and perform the analysis: 1. Press %f . Select the desired type of analysis from the menu and press V . The STAT indicator displays.
36 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 36 of 48 7. When finished: • Press %f and select CLRDATA to clear all data points without exiting STAT mode, or • Press %h to access the following menu.
37 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 37 of 48 ³ Problem The table below gives the Gross Domestic Product per capita and the telephone density (main lines per 100 population) for several countries in a recent year.
38 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 38 of 48 8!!!!! Ý ÷ xy a b r Þ 3.5143 " Ý ÷ xy a b r Þ 0.0019 " Ý ÷ xy a b r Þ 0.9374 "" Ý x' y' 10695 OV%t 2 y'(10695) 24.
39 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 39 of 48 Boolean Logic Operations Press - to access a menu of Boolean Logic operations.
40 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 40 of 48 Number-System Modes Number system modes are second functions of keys. %| Selects decimal mode (default). When the calculator is in another number mode, press %| to return the calculator to decimal mode.
41 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 41 of 48 ³ Problem Add 456+125 in base 8 and in hexadecimal. Then return the calculator to decimal mode and do the same addition. %~ 456 : 125 V 456+125 ß 603 %}#V 456+125 ß 57b %|#V 456+125 ß 581.
42 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 42 of 48 Press % to access a menu. conj Returns the conjugate of a complex number. real Returns the real part of a complex number. imag Returns the imaginary part of a complex number.
43 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 43 of 48 Error Conditions When Error appears in the display, the calculator will not accept a keyboard entry until you press 4 or %r .
44 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 44 of 48 DOMAIN - You specified an argument to a function outside the valid range. For example: • For x ‡ : x=0; y<0 and x not an odd integer.
45 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 45 of 48 In Case of Difficulty Review instructions to be certain calculations were performed properly. Press T and 4 simultaneously to reset. When released, memory and settings are cleared, and MEM CLEARED is displayed.
46 Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 46 of 48 Service Information TI Product and Services Information For more information about TI products and services, contact TI by e-mail or visit the TI calculator home page on the world-wide web.
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