SHARP EL-520XTBBK Scientific Calculator Operations Manual

CALCULATION EXAMPLES

The calculator offers numerous examples to demonstrate its functionality. Here are a few:

• Example 1: (1+2)*3 = 9
• Example 2: 1 + 2 * 3 = 7
• Example 3: 10 / 2 * 5 = 25
• Example 4: 10 / (2 * 5) = 1
• Example 5: 2^3 = 8
• Example 6: 3! = 6
• Example 7: sin(30°) = 0.5 (in DEG mode)
• Example 8: log(100) = 2
• Example 9: ln(e) = 1
• Example 10: sqrt(16) = 4
• Example 11: 1/2 = 0.5
• Example 12: 1/4 = 0.25
• Example 13: 1/8 = 0.125
• Example 14: 1/16 = 0.0625
• Example 15: 1/32 = 0.03125
• Example 16: 1/64 = 0.015625
• Example 17: 1/128 = 0.0078125
• Example 18: 1/256 = 0.00390625
• Example 19: 1/512 = 0.001953125
• Example 20: 1/1024 = 0.0009765625

FUNCTIONS AND MODES

The SHARP EL-520XTBBK supports various operating modes and a wide range of functions:

Operating Modes:

• COMP: General calculations.
• SD: Statistical calculations (single and two-variable).
• REG: Regression analysis.
• BASE: Number base conversions (DEC, HEX, OCT, BIN).
• EQN: Equation solving (polynomial and linear systems).
• MAT: Matrix operations.
• VCT: Vector operations.
• CALC: Numerical integration and differentiation.
• CMPLX: Complex number calculations.

Key Functions:

The calculator includes standard arithmetic, advanced mathematical, trigonometric, hyperbolic, statistical, and programming functions.

Basic Arithmetic: +, -, ×, ÷

Exponents & Roots: ^, x², x³, x⁻¹, √, x√y

Logarithmic Functions: log (base 10), ln (natural log), log_y(x)

Trigonometric Functions: sin, cos, tan, and their inverses (sin⁻¹, cos⁻¹, tan⁻¹), supporting DEG, RAD, GRAD modes.

Hyperbolic Functions: sinh, cosh, tanh, and their inverses.

Special Functions: !, nPr, nCr, |x|, Int, Frac, RAN#

Constants: π, e

Memory Functions: STO (store), RCL (recall), M+, M-, MR

Fraction Handling: Input and display of mixed fractions (a b/c).

STATISTICAL FUNCTIONS

The calculator facilitates statistical analysis, primarily in SD mode.

Data Entry:

1. Enter SD mode.
2. Input data points using the DATA key. For example, to input the value 3, press 3 then DATA. To input 5 twice, press 5, DATA, DATA.
3. Use the x and y keys for paired data in two-variable statistics.

Calculated Values:

After data entry, the calculator can compute:

• n: Number of data points.
• Σx: Sum of data points.
• Σx²: Sum of squares of data points.
• x̄: Mean of data points.
• sx: Sample standard deviation.
• σx: Population standard deviation.
• For two-variable statistics, it also computes related values for y, covariance (sxy, σxy), and correlation coefficient (r).
• It can also provide predicted values (x̂, ŷ).

Statistical Distribution Diagrams:

The manual illustrates key probability distributions:

• Normal Distribution: A symmetrical, bell-shaped curve.
• t-Distribution: Similar to normal but with heavier tails, dependent on degrees of freedom.
• Chi-Square Distribution: Right-skewed, used in hypothesis testing, dependent on degrees of freedom.
• F-Distribution: Right-skewed, used for variance comparison, dependent on two degrees of freedom.

COMPLEX NUMBER CALCULATIONS

The SHARP EL-520XTBBK handles complex number arithmetic, supporting both rectangular (a+bi) and polar (r∠θ) forms.

• Input: Numbers can be entered as a+bi or r∠θ.
• Conversions: The calculator can convert between rectangular and polar formats.
• Operations: Supports addition, subtraction, multiplication, and division of complex numbers.

EQUATION SOLVING

The calculator is equipped to solve various equations:

• Polynomial Equations: Solves quadratic and cubic equations.
• Linear Equations: Solves systems of linear equations, including 2x2 and 3x3 systems.

GENERAL INFORMATION

Battery Replacement:

To replace the batteries, open the battery compartment and insert new batteries of the specified type, ensuring correct polarity.

Error Messages:

The calculator displays error messages for invalid operations or inputs, such as "Error" or "Math Error". Consult the manual for specific error code meanings.

Troubleshooting:

Basic troubleshooting includes checking battery levels and performing a calculator reset if necessary.