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... in Equations 9-7 Complex Number in Equation 7-6 Understanding and Controlling SOLVE 7-7 Verifying the Result 7-7 Interrupting a SOLVE Calculation 7-8 Choosing Initial Guesses for SOLVE 7-8 For More Information 7-12 8. Solving Equations 7-1 Solving an Equation 7-1 Solving built-in Program 9-8 10.Vector Arithmetic 10-1 Vector operations 10-1 Absolute value of Integration 8-6 Specifying Accuracy 8-6 Interpreting Accuracy 8-6 For More Information 8-8 9.
... in Equations 9-7 Complex Number in Equation 7-6 Understanding and Controlling SOLVE 7-7 Verifying the Result 7-7 Interrupting a SOLVE Calculation 7-8 Choosing Initial Guesses for SOLVE 7-8 For More Information 7-12 8. Solving Equations 7-1 Solving an Equation 7-1 Solving built-in Program 9-8 10.Vector Arithmetic 10-1 Vector operations 10-1 Absolute value of Integration 8-6 Specifying Accuracy 8-6 Interpreting Accuracy 8-6 For More Information 8-8 9.
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...Integrating 15-11 16.Statistics Programs 16-1 Curve Fitting 16-1 Normal and Inverse-Normal Distributions 16-11 Grouped Standard Deviation 16-18 17.Miscellaneous Programs and Equations 17-1 Time Value of Money 17-1 Prime Number Generator 17-7 Cross Product in Vectors 17-11 Part 3. Appendixes and Reference A. Support, Batteries, and Service A-1 Calculator... Support A-1 Answers to Common Questions A-1 Environmental Limits A-2 Changing the Batteries A-3 Testing Calculator Operation A-4 The Self-Test A-5 Warranty A-7 ...
...Integrating 15-11 16.Statistics Programs 16-1 Curve Fitting 16-1 Normal and Inverse-Normal Distributions 16-11 Grouped Standard Deviation 16-18 17.Miscellaneous Programs and Equations 17-1 Time Value of Money 17-1 Prime Number Generator 17-7 Cross Product in Vectors 17-11 Part 3. Appendixes and Reference A. Support, Batteries, and Service A-1 Calculator... Support A-1 Answers to Common Questions A-1 Environmental Limits A-2 Changing the Batteries A-3 Testing Calculator Operation A-4 The Self-Test A-5 Warranty A-7 ...
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... of Stack Lift B-4 Disabling Operations B-5 Neutral Operations B-5 The Status of numbers C-7 Reviewing the Stack C-7 Integrating an Equation C-8 Operations with Complex Numbers C-8 Arithmetic in ALG C-2 Simple Arithmetic C-2 Power Functions C-3 Percentage Calculations C-3 Permutations and Combinations C-4 Quotient and Remainder Of Division C-4 Parentheses Calculations C-4 Exponential and Logarithmic Functions C-5 Trigonometric Functions C-6 Hyperbolic functions C-6 Parts of the LAST X Register...
... of Stack Lift B-4 Disabling Operations B-5 Neutral Operations B-5 The Status of numbers C-7 Reviewing the Stack C-7 Integrating an Equation C-8 Operations with Complex Numbers C-8 Arithmetic in ALG C-2 Simple Arithmetic C-2 Power Functions C-3 Percentage Calculations C-3 Permutations and Combinations C-4 Quotient and Remainder Of Division C-4 Parentheses Calculations C-4 Exponential and Logarithmic Functions C-5 Trigonometric Functions C-6 Hyperbolic functions C-6 Parts of the LAST X Register...
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Messages F-1 G. More about Integration E-1 How the Integral Is Evaluated E-1 Conditions That Could Cause Incorrect Results E-2 Conditions That Prolong Calculation Time E-7 F. How SOLVE Finds a Root D-1 Interpreting Results D-3 When SOLVE Cannot Find a Root D-8 Round-Off Error D-13 E. Operation Index G-1 Contents 11
Messages F-1 G. More about Integration E-1 How the Integral Is Evaluated E-1 Conditions That Could Cause Incorrect Results E-2 Conditions That Prolong Calculation Time E-7 F. How SOLVE Finds a Root D-1 Interpreting Results D-3 When SOLVE Cannot Find a Root D-8 Round-Off Error D-13 E. Operation Index G-1 Contents 11
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... (root-finding, integrating, complex numbers, base conversions, and statistics) are addressed in RPN mode. 4 Real-Number Functions This chapter covers most of the calculator's functions that perform computations on real numbers, including some numeric functions used in later chapters. Probability functions. The examples in this chapter all assume the HP 35s is no need...
... (root-finding, integrating, complex numbers, base conversions, and statistics) are addressed in RPN mode. 4 Real-Number Functions This chapter covers most of the calculator's functions that perform computations on real numbers, including some numeric functions used in later chapters. Probability functions. The examples in this chapter all assume the HP 35s is no need...
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... get the HP 35s to evaluate (this chapter). so you can use it many times. Put the calculator in Equation mode and type in the calculation over and over; Example: Calculating with an Equation. You could key in the equation using the following keystrokes: Entering and Evaluating Equations 6-1 For specifying an equation to integrate (chapter 8). 6 Entering...
... get the HP 35s to evaluate (this chapter). so you can use it many times. Put the calculator in Equation mode and type in the calculation over and over; Example: Calculating with an Equation. You could key in the equation using the following keystrokes: Entering and Evaluating Equations 6-1 For specifying an equation to integrate (chapter 8). 6 Entering...
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... the variable you create are displayed at a time. Solves the displayed equation for the unknown variable you specify. (See chapter 7.) Integrates the displayed equation with "-" if an "=" is an equality or expression, calculates its value like . (See "Types of Equations" later in programs - Steps up or down through the equation list...
... the variable you create are displayed at a time. Solves the displayed equation for the unknown variable you specify. (See chapter 7.) Integrates the displayed equation with "-" if an "=" is an equality or expression, calculates its value like . (See "Types of Equations" later in programs - Steps up or down through the equation list...
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... balances. Evaluating Equations One of the most useful characteristics of the two sides. For this calculation, "=" in chapters 7 and 8). When you're integrating a function, you to solve and integrate equations, as "-". Because many equations have two sides separated by "=", the basic value of... equation, returns the value of the equation - This is their ability to calculate a result from an equation. (It also enables you 'll probably use an equality or assignment. The HP 35s has two keys for an unknown variable, you 're solving a problem for evaluating equations...
... balances. Evaluating Equations One of the most useful characteristics of the two sides. For this calculation, "=" in chapters 7 and 8). When you're integrating a function, you to solve and integrate equations, as "-". Because many equations have two sides separated by "=", the basic value of... equation, returns the value of the equation - This is their ability to calculate a result from an equation. (It also enables you 'll probably use an equality or assignment. The HP 35s has two keys for an unknown variable, you 're solving a problem for evaluating equations...
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... problems in mathematics, science, and engineering require calculating the definite integral of integration). The operation (∫ FN) integrates the current equation with respect to b, then the integral can be expressed mathematically as f (x) I = ∫ b a f (x) dx I x a b The quantity I can... x = a and x = b (provided that f(x) is nonnegative throughout the interval of a function. Integrating Equations 8-1 If the function is denoted by f(x) and the interval of integration is a to a specified variable d_). The function may have more than one variable.
... problems in mathematics, science, and engineering require calculating the definite integral of integration). The operation (∫ FN) integrates the current equation with respect to b, then the integral can be expressed mathematically as f (x) I = ∫ b a f (x) dx I x a b The quantity I can... x = a and x = b (provided that f(x) is nonnegative throughout the interval of a function. Integrating Equations 8-1 If the function is denoted by f(x) and the interval of integration is a to a specified variable d_). The function may have more than one variable.
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...other operation in this chapter. If the equation that defines the integrand. 8-2 Integrating Equations The integration is available until the calculation finishes normally. The uncertainty of Integration" later in the calculator. Then start over from step 1 with different information: If you want ...mode. and Y-registers. If you use different limits, begin at step 3 in the upper limit. 3. You can halt a running integration calculation by pressing or ,and the message will be resumed. If executing causes a message, refer to display the...
...other operation in this chapter. If the equation that defines the integrand. 8-2 Integrating Equations The integration is available until the calculation finishes normally. The uncertainty of Integration" later in the calculator. Then start over from step 1 with different information: If you want ...mode. and Y-registers. If you use different limits, begin at step 3 in the upper limit. 3. You can halt a running integration calculation by pressing or ,and the message will be resumed. If executing causes a message, refer to display the...
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...t ) Keys: X Display: Description: Clears memory. Checksum and length. Integrating Equations 8-3 The Bessel function of the first kind of order 0 can be expressed as ∫ J0 (x ) = 1 π π...(x sin t )dt 0 Find the Bessel function for the variable of integration (lower limit first). Leaves Equation mode. Displays the function. Types the equation. x = 2. Enters the limits of integration. Keys: Display: Description: 9 Selects Radians mode...
...t ) Keys: X Display: Description: Clears memory. Checksum and length. Integrating Equations 8-3 The Bessel function of the first kind of order 0 can be expressed as ∫ J0 (x ) = 1 π π...(x sin t )dt 0 Find the Bessel function for the variable of integration (lower limit first). Leaves Equation mode. Displays the function. Types the equation. x = 2. Enters the limits of integration. Keys: Display: Description: 9 Selects Radians mode...
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...; Display Description: Enters the limits of integration. Prompts for J0 (2). Example: Sine Integral. calculates result for π ∫0 f (t ) The final result for value of X. Certain problems in communications theory (for J0(3). Starts integrating and calculates the result for π ∫ f (t) . 0 The final result for example, pulse transmission through...
...; Display Description: Enters the limits of integration. Prompts for J0 (2). Example: Sine Integral. calculates result for π ∫0 f (t ) The final result for value of X. Certain problems in communications theory (for J0(3). Starts integrating and calculates the result for π ∫ f (t) . 0 The final result for example, pulse transmission through...
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... 0, the lower limit of integration, an error would result. Checksum and length. Enters limits of sample points is required in this case. Enter the expression that defines the integrand's function: sin x x If the calculator attempted to evaluate this function ... zero to 2 (t = 2). Keys: Display: Description: X Õ X Selects Equation mode. Leaves Equation mode. Calculates the result for Si(2). Keys: 9 X X Display: _ Description: Selects Radians mode. Starts the ...
... 0, the lower limit of integration, an error would result. Checksum and length. Enters limits of sample points is required in this case. Enter the expression that defines the integrand's function: sin x x If the calculator attempted to evaluate this function ... zero to 2 (t = 2). Keys: Display: Description: X Õ X Selects Equation mode. Leaves Equation mode. Calculates the result for Si(2). Keys: 9 X X Display: _ Description: Selects Radians mode. Starts the ...
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...'s setting (FIX, SCI, ENG, or ALL) determines the precision of the integration calculation: the greater the number of digits displayed, the greater the precision of the calculated integral (and the greater the time required to view the value of the uncertainty. If... The general characteristics of functions that integral's result in the Y-register. The fewer the number of digits displayed, the faster the calculation, but the likelihood is its uncertainty. 8-6 Integrating Equations Interpreting Accuracy After calculating the integral, the calculator places the estimated uncertainty of that ...
...'s setting (FIX, SCI, ENG, or ALL) determines the precision of the integration calculation: the greater the number of digits displayed, the greater the precision of the calculated integral (and the greater the time required to view the value of the uncertainty. If... The general characteristics of functions that integral's result in the Y-register. The fewer the number of digits displayed, the faster the calculation, but the likelihood is its uncertainty. 8-6 Integrating Equations Interpreting Accuracy After calculating the integral, the calculator places the estimated uncertainty of that ...
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Keys: 8 X Display Description: Sets scientific notation with two decimal places, specifying that f(x) is accurate to two decimal places. Rolls down the limits of ten for...in the display format and repeat the integration (provided that the function is still calculated accurately to SCI 2, calculate the integral in the expression for each additional digit, specified in the display), In general, the uncertainty of an integration calculation decreases by a factor of integration from the previous example). Example: ...
Keys: 8 X Display Description: Sets scientific notation with two decimal places, specifying that f(x) is accurate to two decimal places. Rolls down the limits of ten for...in the display format and repeat the integration (provided that the function is still calculated accurately to SCI 2, calculate the integral in the expression for each additional digit, specified in the display), In general, the uncertainty of an integration calculation decreases by a factor of integration from the previous example). Example: ...
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... value of the SCI 2 result calculated previously. For More Information This chapter gives you instructions for integration works, conditions that could cause incorrect results and conditions that the uncertainty is accurate to an integral. 8-8 Integrating Equations The uncertainty from the Z- In...Rolls down the limits of applications. Since the uncertainty of a result is calculated conservatively, the calculator's approximation in most cases is still in the HP 35s over a wide range of integration from the last example is more detailed information about 1/100 as large ...
... value of the SCI 2 result calculated previously. For More Information This chapter gives you instructions for integration works, conditions that could cause incorrect results and conditions that the uncertainty is accurate to an integral. 8-8 Integrating Equations The uncertainty from the Z- In...Rolls down the limits of applications. Since the uncertainty of a result is calculated conservatively, the calculator's approximation in most cases is still in the HP 35s over a wide range of integration from the last example is more detailed information about 1/100 as large ...
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This is 9.2088θ 25.8898 Complex Numbers in Equations You can be solved and integrated. The values and format of the result are prompted for variable values, you evaluate an equation and are controlled by the display setting. Sets complex ...+5θ 30 Keys: 9 8 Display: 6 Description: Sets Degrees mode. When an equation is displayed, all numeric forms are shown as calculating in equations.
This is 9.2088θ 25.8898 Complex Numbers in Equations You can be solved and integrated. The values and format of the result are prompted for variable values, you evaluate an equation and are controlled by the display setting. Sets complex ...+5θ 30 Keys: 9 8 Display: 6 Description: Sets Degrees mode. When an equation is displayed, all numeric forms are shown as calculating in equations.
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For example, 1i2+3θ 10+5 θ 30 in Program In a program, you can also be solved and integrated. 9-8 Operations with Complex Numbers The values and format of the result are prompted for values by the display setting. The program that contains the complex number can enter complex numbers. Complex Number in program is: Program lines: (ALG mode Description Begins the program When you are running a program and are controlled by INPUT instructions, you can type a complex number.
For example, 1i2+3θ 10+5 θ 30 in Program In a program, you can also be solved and integrated. 9-8 Operations with Complex Numbers The values and format of the result are prompted for values by the display setting. The program that contains the complex number can enter complex numbers. Complex Number in program is: Program lines: (ALG mode Description Begins the program When you are running a program and are controlled by INPUT instructions, you can type a complex number.
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... or a vector with 0 as the 2nd and 3rd elements. 10-6 Vector Arithmetic A vector can be entered when prompted for a variable. Equations containing vectors can be integrated, however the result of vector [0,5] Multiplies two vectors Divides two values The angle between two vectors is 36.8699 Vectors in equation variables exactly like...
... or a vector with 0 as the 2nd and 3rd elements. 10-6 Vector Arithmetic A vector can be entered when prompted for a variable. Equations containing vectors can be integrated, however the result of vector [0,5] Multiplies two vectors Divides two values The angle between two vectors is 36.8699 Vectors in equation variables exactly like...
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Vectors in Programs Vectors can be used for a variable. Programs that contain vectors can be used in program in the same way as real and complex numbers For example, [5, 6] +2 x [7, 8] x [9, 10] in a program is: Program lines Description: Begins the program [5,6] A vector can be entered when prompted for a value for solving and integrating. Vector Arithmetic 10-7
Vectors in Programs Vectors can be used for a variable. Programs that contain vectors can be used in program in the same way as real and complex numbers For example, [5, 6] +2 x [7, 8] x [9, 10] in a program is: Program lines Description: Begins the program [5,6] A vector can be entered when prompted for a value for solving and integrating. Vector Arithmetic 10-7