HP 35s User Manual

 
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HP 35s  Using the formula solver – part 2 
 
hp calculators - 7 - HP 35s  Using the formula solver – part 2 - Version 1.0 
 A quick look at this expression shows that one solution is r = 0. This is not a useful solution so it would be 
helpful to provide a guess to direct the Solver away from zero. One guess is the value already in R. Type 8 
on the lower line of the display as the second guess. 
  
Go to equation mode by typing !. Find the old equation by moving up or down through...

 
 
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HP 35s  Solving numeric integration problems 
 
 
 
 
Numeric integration 
 
Using the integration function  
 
Practice solving numeric integration problems 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   

 
hp calculators 
 
HP 35s  Solving numeric integration problems 
 
hp calculators - 2 - HP 35s  Solving numeric integration problems - Version 1.0 
Numeric integration 
 
Numeric integration has many uses in different areas of science. One of the more common ways to visualize integration 
is that of the area under a curve to the X-axis between two points. 
 
Using the integration function 
 
The HP 35s has a very powerful numeric integrator built into the calculator. This function is found above the !...

 
hp calculators 
 
HP 35s  Solving numeric integration problems 
 
hp calculators - 3 - HP 35s  Solving numeric integration problems - Version 1.0 
Practice solving numeric integration problems  
Example 1: Integrate the function 1/X from 1 to 10. Use FIX 4 as the display setting.  
Solution: In either RPN or algebraic mode: !)+*!./0#1
1The display should look similar to the one shown in Figure 1. Note, if you have other equations already in 
the HP 35s calculator, the top line of the display may not...

 
hp calculators 
 
HP 35s  Solving numeric integration problems 
 
hp calculators - 4 - HP 35s  Solving numeric integration problems - Version 1.0 
 Figure 4 
 
Answer: The area under the 1/X curve from 1 to 10 is approximately 2.3026. Figure 4 shows the uncertainty of the 
result assuming algebraic mode. In RPN mode, the uncertainty is shown in the second level of the stack. 
 
Example 2: Integrate the function Sin2(X) from 0 to !. Use FIX 4 as the display setting. Make sure the HP 35s is in 
radians...

 
hp calculators 
 
HP 35s  Solving numeric integration problems 
 
hp calculators - 5 - HP 35s  Solving numeric integration problems - Version 1.0 
 Figure 7 
  
 Now view the uncertainty of the result. 
 
1In RPN mode: 1
1
1In algebraic mode: 41
 
 Figure 8 
 
Answer: The area under Sin2(X) from 0 to ! is approximately 1.5708. The uncertainty of the result is 0.0002, as 
shown in the Y level of the stack, in Figure 8 (assuming RPN mode).  
Example 3: Integrate the function shown below from 0 to 2!. Use...

 
hp calculators 
 
HP 35s  Solving numeric integration problems 
 
hp calculators - 6 - HP 35s  Solving numeric integration problems - Version 1.0 
Now enter the lower and upper limits of the integration. Note that the algebraic keystrokes are to allow for 
 
In RPN mode: 3#9:,A!1
In algebraic mode: ,A9:#$3$!1
Integrate the function using X as the variable of integration. 
901
 After a few moments, the HP 35s will display the answer shown below. 
 
 
the computation of the upper limit of integration....

 
 
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HP 35s  Solving Trigonometry Problems 
 
 
 
 
The trigonometric functions 
 
Trigonometric modes 
 
Practice working problems involving trig functions 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   

 
hp calculators 
 
HP 35s  Solving Trigonometry Problems 
 
hp calculators - 2 - HP 35s  Solving Trigonometry Problems - Version 1.0 
The trigonometric functions 
 
The trigonometric functions, sine, cosine, tangent, and related functions, are used in geometry, surveying, and design. 
They also occur in solutions to orbital mechanics, integration, and other advanced applications. 
 
The HP 35s provides the three basic functions, and their inverse, or “arc” functions. These work in degrees, radians and...