Related Manuals for Sharp EL-W535TG
Summary of Contents for Sharp EL-W535TG
- Page 1 CIENTIFIC CIENTIFIC ALCULATOR ALCULATOR PERATION UIDE PERATION UIDE < EL-W535TG / W516T >...
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Page 2: Table Of Contents
CONTENTS HOW TO OPERATE Read Before Using Key layout Reset switch/Display pattern Display format and decimal setting function Exponent display Angular unit Functions and Key Operations ON/OFF, entry correction keys Data entry keys Random key Modify key Basic arithmetic keys, parentheses Percent Inverse, square, cube, xth power of y, square root, cube root, xth root... - Page 3 Arc trigonometric functions Hyperbolic functions 39-42 Coordinate conversion Binary, pental, octal, decimal, and hexadecimal operations (N-base) Differentiation calculation 45-46 d/dx Integration calculation 47-49 Simultaneous calculation 50-52 Polynomial equation 53-56 Complex calculation 57-58 DATA INS-D STAT Statistics functions Data input for 1-variable statistics “ANS”...
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Page 4: How To Operate
How to Operate Read Before Using This operation guide has been written mainly based on the EL-W535TG model. And some functions described here are featured on the EL-W516T model only. Note that key operations and symbols on the display may differ according to the model. -
Page 5: Reset Switch/Display Pattern
2. RESET SWITCH 3. DISPLAY PATTERN If the calculator fails to operate Angular unit Alphabet normally, press the reset switch on indicator symbol Hyperbolic (DEG/RAD/GRAD) (ALPHA) the back to reinitialize the unit. The symbol (HYP) WriteView mode Display format display format and calculation mode (View as it is written) 2ndF symbol indicator... -
Page 6: Exponent Display
(Improper fractions) (Decimal numbers) (FIX mode, TAB = 3) (SCI mode) (ENG mode) (NORM1 mode) NOTE: SET UP In EL-W516T, Use instead of 5. EXPONENT DISPLAY The distance from the earth to the sun is approx. 150,000,000 (1.5 x 10 ) km. -
Page 7: Angular Unit
6. ANGULAR UNIT Angular values are converted from DEG to RAD to GRAD with each push of the DRG► key (2nd function of ). This function is used when doing calculations related to trigonometric functions or coordinate geometry conversions. Degrees (DEG is shown at the top of the display) A commonly used unit of measure for angles. -
Page 8: Functions And Key Operations
Functions and Key Operations ON/OFF, Entry Correction Keys Turns the calculator on or clears the data. It also clears the contents of the calculator display and voids any calculator command; however, statistics, as well as values stored in the memory, are not erased. Turns the calculator off. -
Page 9: Data Entry Keys
Data Entry Keys 0 to 9 Numeric keys for entering data values. Decimal point key. Enters a decimal point. Enters the minus symbol. The subtraction key is not used for entering negative numbers. Enters π (3.14159...). The constant π, used frequently in function calculations, is the ratio of the circumference of a circle to its diameter Pressing this key switches to scientific notation data entry. -
Page 10: Random Key
Random Key Generates random numbers. Random numbers are three-decimal-place values between 0.000 and 0.999. Using this function enables the user to obtain unbiased sampling data derived from random values generated by the calculator. NOTE: Using LINE mode is preferable, since the numbers are generated by fractions in W-VIEW mode. -
Page 11: Modify Key
Modify Key Function to round calculation results. Even after setting the number of decimal places on the display, the calculator performs calculations using a larger number of decimal places than that which appears on the display. By using this function, internal calculations will be performed using only the displayed value. -
Page 12: Basic Arithmetic Keys, Parentheses
Basic Arithmetic Keys, Parentheses The four basic operators. Each is used in the same way as a standard calculator: + (addition), – (subtraction), x (multiplication), and ÷ (division). Finds the result in the same way as a standard calculator. Used to specify calculations in which certain operations have precedence. You can make addition and subtraction operations have precedence over multiplication and division by enclosing them in parentheses. -
Page 13: Percent
Percent For calculating percentages. Four methods of calculating percentages are presented as follows. 1) $125 increased by 10%…137.5 2) $125 reduced by 20%…100 3) 15% of $125…18.75 4) When $125 equals 5% of X, X equals…2500 NOTE: In EL-W516T, when “(%)” is specified immediately after a value, the value is treated as a percentage. -
Page 14: Inverse, Square, Cube, Xth Power Of Y, Square Root, Cube Root, Xth Root
Inverse, Square, Cube, xth Power of y, Square Root, Cube Root, xth Root Calculates the inverse of the value. Squares the value. Cubes the value. Calculates the x power of the value. Calculates the square root of the value. Calculates the cube root of the value. Calculates the x root of the value. -
Page 15: Power And Radical Root
Power and Radical root <Example 1> Design a shaft that bears a torque T (= 9,550 Nm). is a constant that is determined by the material of the shaft, and is taken to be = 20 N/mm Operation Display 9550... - Page 16 Power and Radical root <Example 2> If the principal is a ($), the annual interest rate is r (%), and the number of years of interest accumulation is x (years), the final amount y ($) is given by the following equation: y = a ( 1 + r / 100 ) (1) Find the final amount when a principal of $400,000 is deposited for three years at an annual interest rate of 5%...
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Page 17: Power And Radical Root
Power and Radical root <Example 3> The musical note A is 440 Hz. Calculate the frequencies of the notes in (1) to (3). (1) "C" of A, A# (B ), B, C 440 x ( (2) "C" of A, G, F, E, D, C 440 x ( (3) "A"... -
Page 18: To The Power Of X, Common Logarithm, Logarithm Of X To Base A
10 to the Power of x, Common Logarithm, Logarithm of x to Base a Calculates the value of 10 raised to the x power. Calculates the logarithm, the exponent of the power to which 10 must be raised to equal the given value. Calculates the logarithm of x to power a. -
Page 19: Exponential, Logarithmic
Exponential, Logarithmic <Example 1> If E (units: joules) is the amount of energy released by an earthquake and M is the magnitude, the relation logE = 4.8 + 1.5M holds. If E' is the energy when the magnitude increases by N, 1.5N = 10 holds. - Page 20 Exponential, Logarithmic <Example 2> Air is held inside a cylinder of volume V (= 0.01 m ) at a pressure P (= 1,000,000 Pa) at 27°C with a piston. Find the quantity of thermal energy Q needed to expand the air at constant temperature to a pressure of P (= 101,000 Pa).
- Page 21 Exponential, Logarithmic <Example 3> Find the pH of hydrochloric acid HCl at a concentration of 1.0 x 10 mol/L * pH = 7 (neutral), pH < 7 (acidic), pH > 7 (alkaline) +4x10 pH = -log Operation Display Enter the value of a Calculate the pH...
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Page 22: E To The Power Of X, Natural Logarithm
e to the Power of x, Natural Logarithm Calculates powers based on the constant e (2.718281828). Computes the value of the natural logarithm, the exponent of the power to which e must be raised to equal the given value. <Example> Operation Display... -
Page 23: Factorials
Factorials The product of a given positive integer n multiplied by all the lesser positive integers from 1 to n-1 is indicated by n! and called the factorial of n. <Example 1> Operation Display n! = 1 … <Example 2> How many arrangements exist of cards of three colors: red, blue, and yellow? 3! = 3 x 2 x 1 = 6... -
Page 24: Permutations, Combinations
Permutations, Combinations This function finds the number of different possible orderings in selecting r objects from a set of n objects. For example, there are six different ways of ordering the letters ABC in groups of three letters—ABC, ACB, BAC, BCA, CAB, and CBA. The calculation equation is = 3 x 2 x 1 = 6 (ways). - Page 25 Permutations, Combinations <Example 2> (1) When three cards are selected from five cards numbered 1 to 5 and placed in a row, how many possible orderings of the cards are there? = 5 x 4 x 3 (2) When three cards are selected from five cards numbered 1 to 5, how many ways of selecting the cards are possible? Let the number of ways of selecting the cards be C.
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Page 26: Permutations, Combinations
Permutations, Combinations <Example 3> Find the probability of drawing one pair when 5 cards are drawn from a deck of 52 cards. No jokers are included in the deck. Probability of drawing one pair = Ways of selecting one pair Ways of selecting 5 cards Ways of selecting one pair = Ways of selecting two cards to make a pair x Ways of selecting... -
Page 27: Time Calculation
Time Calculation Converts a sexagesimal value displayed in degrees, minutes, seconds to decimal notation. Also, converts a decimal value to sexagesimal notation (degrees, minutes, seconds). Inputs values in sexagesimal notation (degrees, minutes, seconds). <Example> Convert 24° 28’ 35” (24 degrees, 28 minutes, 35 seconds) to decimal notation. -
Page 28: Fractional Calculations
Fractional Calculations Inputs proper or improper fractions which consist of a numerator and denominator. Inputs a mixed fraction. <Example> Add 3 , and convert to decimal notation. Operation Display Convert to an improper fraction Convert to decimal notation APPLICATIONS: There is a wide variety of applications for this function because fractions are such a basic part of mathematics. -
Page 29: Memory Calculations
Memory Calculations Stores displayed values in memories A~F, X, Y, M. Recalls values stored in A~F, X, Y, M. Adds the displayed value to the value in the independent memory M. Subtracts the displayed value from the value in the independent memory M. Temporary memories Independent memory Operation... -
Page 30: Last Answer Memory
Last Answer Memory Recalls the last answer calculated by pressing <Example> Solve for x first and then solve for y using x. x = 2 + 3 y = 4 Operation Display... -
Page 31: User-Defined Functions
User-Defined Functions Recall a function that was defined by the user. <Example> Operation Display APPLICATIONS: Functions that you have previously defined, including those using common 2nd Function buttons, can be stored in D1~ D3 for later use, thus saving time on keystrokes. -
Page 32: Absolute Value
Absolute Value Returns an absolute value. <Example> Operation Display... -
Page 33: Trigonometric Functions
Trigonometric Functions Trigonometric functions determine the ratio of three sides of a right triangle. The combinations of the three sides are sin, cos, and tan. Their relations are: θ Calculates the sine of an angle. sin θ = Calculates the cosine of an angle. cos θ... - Page 34 Trigonometric Functions <Example 2> Find the length of the side of the following triangle. a = 20 sin 30 b = 20 cos 30 tan17 sin17 Operation Display (DRG) (DEG) <Angle setting " " (DEG)> NOTE: SET UP In EL-W516T, Use instead of...
- Page 35 Trigonometric Functions...
- Page 36 Trigonometric Functions <Example 3> The instantaneous value V of the AC voltage is expressed by the equation below. V = 2V sin(2 ft) [V] Root mean square value V = 100 [V] Frequency f = 60 [Hz] Find the instantaneous value of the AC voltage at time t = 2.000, 2.002, 2.004, 2.008, 2.012, 2.016 Operation Display...
- Page 37 Trigonometric Functions...
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Page 38: Arc Trigonometric Functions
Arc Trigonometric Functions Arc trigonometric functions, the inverse of trigonometric functions, are used to determine an angle from ratios of a right triangle. The combinations of the three sides are sin , cos θ and tan . Their relations are; (arc sine) Determines an angle based on the ratio θ... -
Page 39: Hyperbolic Functions
Hyperbolic Functions The hyperbolic function is defined by using natural exponents in trigonometric functions. Arc hyperbolic functions are defined by using natural logarithms in trigonometric functions. APPLICATIONS: Hyperbolic and arc hyperbolic functions are very useful in electrical engineering and physics. - Page 40 Hyperbolic Functions <Example 1> The curve that forms when a rope hangs from two fixed points is called a "catenary", and the sag D of the rope can be expressed using a hyperbolic function. b (width between fixed points) D = acosh The length L of rope that creates this sag is expressed by the following equation.
- Page 41 Hyperbolic Functions (This example is for EL-W516T only.) <Example 2> A drop of rain falls against an air resistance proportional to the square of the fall velocity. The velocity v at time t seconds after the start of the fall is given by the following equation: v = AtanhBt [m/s] A = 6.82...
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Page 42: Hyperbolic Functions
Hyperbolic Functions 2. Enter the Simulation calculation. ALGB <Simulation calculation> 3. Enter the value of A 6.82 (If 6.82 appears, press only the key) 4. Enter the value of B 1.44 (If 1.44 appears, press only the key) 5. Enter the value of X For example, 6. -
Page 43: Coordinate Conversion
Coordinate Conversion θ Converts rectangular coordinates to polar coordinates (x, y r, ) Converts polar coordinates to rectangular coordinates (r, x, y) θ Splits data used for dual-variable data input. Polar coordinates Rectangular coordinates P (r, θ ) P (x,y) θ... -
Page 44: Binary, Pental, Octal, Decimal, And Hexadecimal Operations (N-Base)
Binary, Pental, Octal, Decimal, and Hexadecimal Operations (N-Base) This calculator can perform conversions between numbers expressed in binary, pental, octal, decimal, and hexadecimal systems. It can also perform the four basic arithmetic operations, calculations with parentheses and memory calculations using binary, pental, octal, decimal, and hexadecimal numbers. - Page 45 d/dx Differentiation calculation (This example is for EL-W516T only.) <Example 1> If the demand curve is expressed by 25920 - 24 find the price elasticity of demand when P=360 (D=48). *Price elasticity of demand: A value that indicates how sensitive demand is to changes of price. Rate of demand Price elasticity change...
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Page 46: Differentiation Calculation D/Dx
Differentiation calculation d/dx (This example is for EL-W516T only.) <Example 2> B (-1/2, 3/2) The semicircle above is given by the equation Find the slope of the tangent AB at point B (-1/2, 3/2) on the semicircle. x = - Operation Display d/dx... -
Page 47: Integration Calculation Dx
Integration calculation (This example is for EL-W516T only.) <Example 1> Let the demand curve of the overall market be D = 3000 - 10P, the supply curve be S = 20P, the equilibrium price be 100, and the equilibrium output be 2000. (1) Find the consumer surplus of the overall market. - Page 48 Integration calculation 3000...
- Page 49 Integration calculation (This example is for EL-W516T only.) <Example 2> The fan shaped curve at left is given by the equation Find the area of the fan shape with radius 1 and central angle 90 . Operation Display...
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Page 50: Simultaneous Calculation
Simultaneous Calculation (This example is for EL-W516T only.) <Example 1> To produce one unit of product X, 3 kg of material A and 1 kg of material B are required. To product one unit of product Y, 1 kg of material A and 2 kg of material B are required. - Page 51 Simultaneous Calculation (1) Solve the following simultaneous equations. 3x + y = 9 x + 2y = 8 (2) Use the result of (1) to find the following value. K = 3x + 2y Operation Display Set the mode to Equation (EQUATION) <Equation mode>...
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Page 52: Simultaneous Calculation
Simultaneous Calculation (This example is for EL-W516T only.) <Example 2> When ethanol C OH is completely combusted, carbon dioxide CO water H O are created. The chemical reaction formula of this reaction is expressed as follows: OH + 3O y CO + z H Find the values of x, y, and z to complete the chemical reaction formula. -
Page 53: Polynomial Equation
Polynomial equation (This example is for EL-W516T only.) <Example 1> Let the hydrochloric acid concentration be c (= 1.0 x 10 mol / ), and the hydrogen ion concentration be x. (1) Solve the following quadratic equation to find the hydrogen ion concentration x: - cx - K where = 1.0 x 10... - Page 54 Polynomial equation Set the mode to Equation (EQUATION) (QUAD) <Quadratic equation> Solve the equation (enter coefficients a, b, c) Set the mode to Normal (NORMAL) 0.000000105...
- Page 55 Polynomial equation (This example is for EL-W516T only.) <Example 2> Let the acetic acid concentration be c (= 0.1 mol / ), and the hydrogen ion concentration be x. (1) Solve the following quadratic equation to find the hydrogen ion concentration x: - (cK )x - K where...
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Page 56: Polynomial Equation
Polynomial equation Set the mode to Equation (EQUATION) (CUBIC) <Cubic equation> Solve the equation (enter coefficients a, b, c, d) Set the mode to Normal (NORMAL) 0.001644619... -
Page 57: Complex Calculation
Complex Calculation (This example is for EL-W516T only.) <Example 1> An AC sine wave voltage of 100 V, 50 Hz is applied to a circuit consisting of a resistor (R = 250 ) and capacitor (C = 20 x 10 F) connected in parallel. - Page 58 Complex Calculation (This example is for EL-W516T only.) <Example 2> An AC sine wave voltage of 100V, 60Hz is applied to a circuit consisting of a resistor (R = 120 ), coil (L = 4 H), and capacitor (C = 3 x 10 F) connected in series.
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Page 59: Statistics Functions
Statistics Functions DATA INS-D STAT The statistics function is excellent for analyzing qualities of an event. Though primarily used for engineering and mathematics, the function is also applied to nearly all other fields including economics and medicine. Splits data used for X and FRQ data input (or X, Y, and FRQ data input). DATA Close/display the input table. -
Page 60: Ans" Keys For 1-Variable Statistics
“ANS” FOR 1-VARIABLE STATISTICS Let’s check the results based on the previous data. Operation Display DATA (Close the input table.) STAT Calculates Statistical values. For examples, = 50 (number of input data) = 69 (average value) (standard deviation) = 17.7568613 (standard deviation of the population) = 17.5783958 = 3450... - Page 61 <Example 2> Weight [g] 97.27 When the weight of a calculator was measured, 96.83 the results at left were obtained. 96.65 Find the average and standard deviation of the weight. 96.90 96.77 Operation Display DATA (Display the input table.) 97.27 96.83 96.77 DATA...
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Page 62: Data Correction
DATA CORRECTION Move the cursor ( ) to the data that you want to correct, enter the numeric value, and press INS-D • To insert a line in front of the cursor position, press • To delete the entire line where cursor is positioned, press <Example 3>... -
Page 63: Data Input For 2-Variable Statistics
DATA INPUT FOR 2-VARIABLE STATISTICS <Example 4> The table below summarizes the dates in April when cherry blossoms bloom, and the average temperature for March in that same area. Determine basic statistical quantities for data X and data Y based on the data table. Data tab le 3 Year 2010 2011 2012 2013 2014 2015 2016 2017... -
Page 64: Ans" Keys For 2-Variable Statistics
“ANS” FOR 2-VARIABLE STATISTICS Let’ s check the results based on the previous data. Operation Display DATA (Close the input table.) STAT Calculates Statistical values. In addition to the 1-variable statistic keys, the following keys have been added for calculating 2-variable statistics. For examples, (Total count of data) = 7.175... - Page 65 <Example 5> Spring extension x [m] Force F [N] When a weight was hung on a spring, the following 0.028 relation was obtained for the extension of the spring and 0.073 0.39 0.118 the force applied to the spring. Use linear regression to 0.16 0.77 find the coefficients a and b of the relational expression...
- Page 66 <Example 6> The hot water inside an electric pot is maintained at 92 C. When a thermometer is placed in this hot water, the values indicated by the thermometer at times x and the differences y between these values and the temperature of the hot water are shown below.
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Page 67: Matrix Calculation
Matrix Calculation (This example is for EL-W516T only.) <Example> In a certain year (year 0), the share of manufacturer A is 10% and the share of manufacturer B is 90%. Manufacturer A then releases a new product, and each following year it maintains 90% of the share a it had the previous year (year k), and usurps 20% of the share b manufacturer B. -
Page 68: Matrix Calculation
Matrix Calculation Operation Display Set the mode to Matrix (MATRIX) Matrix mode Enter matA (EDIT) <2 x 2 Matrix> <Enter numeric values> (STORE) <0: Save to matA> Calculate (MATRIX) <Calculate the square> Find the shares of manufacturers A and B after 2 years. 0.83 0.34 (A: 38.9%) - Page 69 SHARP CORPORATION (DEC. 2018) 18LSC21E1...