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HP 35s User Manual

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Page 101

 
hp calculators 
 
HP 35s  Hyperbolic functions 
 
hp calculators - 3 - HP 35s  Hyperbolic functions - Version 1.0 
Solution: The travel time is given by the following formula: 
 
  t =       437    x      tan (63 degrees)        
  135 x ASINH (tan (63 degrees) ) 
 
 Assuming the 35s is in Radians mode, change it to Degrees mode to calculate the tangent value.   
 Assuming RPN mode: 9& (Sets Degrees mode) 
%()*+(,-.!/&(0-1%
%
 Figure 4 %
 Assume algebraic mode: 9&  (Sets Degrees mode)...

Page 102


				            

Page 103

 
 
hp calculators 
 
 
 
 
HP 35s  Solving for roots 
 
 
 
 
Roots of an equation 
 
Using the SOLVE function 
 
Practice solving problems involving roots 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   

Page 104

 
hp calculators 
 
HP 35s  Solving for roots 
 
hp calculators - 2 - HP 35s  Solving for roots - Version 1.0 
Roots of an equation 
 
The roots of an equation are values of X where the value of Y is equal to zero. For example, the equation Y = X – 2 has 
a real root at the value +2. The equation Y = X2 – 9 has real roots at the values of + 3 and – 3. Not every equation has 
roots that are real numbers. For example, the equation Y = X2 + 4 has no real roots, meaning there are no real values for 
X that...

Page 105

 
hp calculators 
 
HP 35s  Solving for roots 
 
hp calculators - 3 - HP 35s  Solving for roots - Version 1.0 
 If the checksum of the program just entered does not equal 8B27, then you have not entered it correctly. To 
clear the checksum display press:  
 
 In RPN or algebraic mode: ),  
 
 Then, to exit the program environment, press: 
 
 In RPN or algebraic mode: ), 
 
 Store an initial guess for X of 10 into the variable X. Then set the function to X and solve for the value of X.  
 
 In RPN or...

Page 106

 
hp calculators 
 
HP 35s  Solving for roots 
 
hp calculators - 4 - HP 35s  Solving for roots - Version 1.0 
4
4In RPN or algebraic mode: %&6  
 Figure 6 
 
 If the checksum of the program just entered does not equal 1086, then you have not entered it correctly.  
 
 To clear the checksum display press:  
 
 In RPN or algebraic mode: ),  
 
 Then, to exit the program environment, press: 
 
 In RPN or algebraic mode: ), 
 
 Store an initial guess for X of 10 into the variable X. Then set the function to...

Page 107

 
hp calculators 
 
HP 35s  Solving for roots 
 
hp calculators - 5 - HP 35s  Solving for roots - Version 1.0 
 In RPN or algebraic mode:  78:)9$)!$4
 
 Figure 9 
 
Answer: Roots found for the equation are +3 and +4. Note that the HP 35s owners manual provides much more 
information about providing initial guesses for the SOLVE feature.   

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Page 109

 
 
hp calculators 
 
 
 
 
HP 35s  Base conversions and arithmetic 
 
 
 
 
Numbers in different bases 
 
Practice working with numbers in different bases 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   

Page 110

 
hp calculators 
 
HP 35s  Base conversions and arithmetic 
 
hp calculators - 2 - HP 35s  Base conversions and arithmetic - Version 1.0 
Numbers in different bases 
 
Most numbers we work with day-to-day are in base 10. There are applications within the computer world that require the 
use of numbers in other bases. The number 24 in base 10 can be translated into base 16 by the following procedure. 
Just as each digit’s location in base 10 can be thought of as a power of ten (the ones’ place, the tens’...
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