Question about Microsoft Windows XP Professional With Servise Pack 2 (e8503040) for PC

Pi=4-(4/3)+(4/5)-(4/7)+(4/9)-(4/11)+....

print a table that shows the approximate value of pi after each of first 1,000 terms in the series

#include <iostream>

int main(int argc, char *argv[])

{

double arctangentOfOne = 0.0;

for(int i=0; i < 1000; ++i, std::cout << 4 * arctangentOfOne
<< std::endl) arctangentOfOne += (i%2==0?1.0:-1.0)/(2*i + 1 );

system("PAUSE");

return 0;

}

Posted on Jan 17, 2009

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Posted on Jan 02, 2017

Try cleaning the keypad. Reset the calculator. When you press the **EXP key** or the **2ndF +EXP** key try pressing firmly the calculator between your thumb and index (left hand).

To work around this defect (due to the venerable age maybe)

enter the approximate value of PI=**3.14159265359** on your calculator and store it in one of the available memory locations. When you need use PI just recall the value to the display.

The EXP key is just a short cut for *10^(exponent). You can explicitly use the general power key.

If you are averse to using this workaround consider acquiring another calculator.

To work around this defect (due to the venerable age maybe)

enter the approximate value of PI=

The EXP key is just a short cut for *10^(exponent). You can explicitly use the general power key.

If you are averse to using this workaround consider acquiring another calculator.

Dec 24, 2013 | Sharp Office Equipment & Supplies

Your calculator may be able to use the symbol Pi. If it gives you a result with Pi, you should convert it to a decimal approximation. There must be a key to convert.

Nov 12, 2013 | Canon F-719SG Green Scientific Calculator...

Look for a key marked with the Greek letter PI. The marking may be on the key itself, or on the faceplate of calculator. If marking is on the key, you press the key to enter an approximate value of Pi. If marking is on faceplate you will have to press the SHIFT key first.

Aug 23, 2013 | Casio FX-300MS Calculator

To get a numerical value for a single result, press the diamond button then the ENTER button. To have all results come out numerically, press MODE F2, scroll down to the Exact/Approx line, right-arrow, select 3:APPROXIMATE, then press ENTER ENTER.

Dec 26, 2012 | Texas Instruments TI-89 Calculator

You are not using the right units. The integrals of functions involving angles (trigonometric functions) that you find in tables and other refrerences are valid only for the natural angle unit which is the radian. With any other angle unit (degree, gradian) there is a scale factor to take into account. That is the factor yoy are complaining about.

If it were not the case, the same integral will have two different values depending on the unit you use: and that cannot be.

If you want the calculator to give you the standard integrals in reference tables you must set the default angle unit to be radian.

Let x_deg be an angle in degrees and x_rad the corresponding value in radians.

180 deg=Pi rad

x_deg/180=x_rad/Pi

x_deg =(180 deg/PI)*x_rad

calculating the differentials of bot sides you obtain

dx_deg= (180/Pi) dx_rad

Similarly, with grads

dx_gr=(200/Pi)*dx_rad

If it were not the case, the same integral will have two different values depending on the unit you use: and that cannot be.

If you want the calculator to give you the standard integrals in reference tables you must set the default angle unit to be radian.

Let x_deg be an angle in degrees and x_rad the corresponding value in radians.

180 deg=Pi rad

x_deg/180=x_rad/Pi

x_deg =(180 deg/PI)*x_rad

calculating the differentials of bot sides you obtain

dx_deg= (180/Pi) dx_rad

Similarly, with grads

dx_gr=(200/Pi)*dx_rad

Sep 20, 2011 | Texas Instruments TI-89 Calculator

Pi is a mathematical constant whose value is the ratio of any Euclidean plane circle's
circumference to its diameter; this is the same value as the ratio of a
circle's area to the square of its radius. It is approximately equal to
3.14159265 in the usual decimal notation.

Mar 05, 2011 | Casio FX82MS Scientific Calculator

Not all decimal representations have equivalent fractions. Take pi. Its approximate value as given by the Casio FX9750II is 3.141592654. This is just an approximation because the string of decimal digits in pi has no end. It continues . Such a number that cannot be represented by a ratio of two integers is not rational, not a fraction. It is called irrational.Other such numbers are ?2, ?3,?5, e the base of natural logarithms.

As a matter of principle, if a number is called irrational, it is because it is not rational (not a fraction), and it makes no sense to try to cast it into fraction form.

However, if you truncate an irrational number so as to keep only a finite number of decimal digits, then that truncated number can be represented by a fraction, but qualitatively speaking, it is not the original irrational number.

Thus if you decide to use 3.141500000000000000....0 as an approximate value of pi then you write

3.1415=31415/10000 and the calculator will convert it to the mixed fraction 3u283u2000. To effect this conversion, you press the [FD] key to the right of [a b/c]. If you want an improper fraction 6283u2000 you press [SHIFT][[FD].

As to the value of sin 45 you quote, you should be aware that it is valid for an angle unit in radians.

It is an approximation because the radian unit is based on the value of pi, which, as I said above, is an irrational number.

If you use the degree angle unit, sin45 deg is actually equal to 1/?2 or ?2/2 and this is clearly irrational, and it cannot be represented as a fraction. In conclusion it makes no sense to try to cast it into such form.

On the other hand, sin 30 deg or cos 60 deg are both exactly equal to 1/2. The calculator will convert them to a fraction.

On a more general note, the calculator will always be able to convert a fraction into an approximate decimal number, but the converse may not be possible. It depends on the number of display space available on the screen.

As a matter of principle, if a number is called irrational, it is because it is not rational (not a fraction), and it makes no sense to try to cast it into fraction form.

However, if you truncate an irrational number so as to keep only a finite number of decimal digits, then that truncated number can be represented by a fraction, but qualitatively speaking, it is not the original irrational number.

Thus if you decide to use 3.141500000000000000....0 as an approximate value of pi then you write

3.1415=31415/10000 and the calculator will convert it to the mixed fraction 3u283u2000. To effect this conversion, you press the [FD] key to the right of [a b/c]. If you want an improper fraction 6283u2000 you press [SHIFT][[FD].

As to the value of sin 45 you quote, you should be aware that it is valid for an angle unit in radians.

It is an approximation because the radian unit is based on the value of pi, which, as I said above, is an irrational number.

If you use the degree angle unit, sin45 deg is actually equal to 1/?2 or ?2/2 and this is clearly irrational, and it cannot be represented as a fraction. In conclusion it makes no sense to try to cast it into such form.

On the other hand, sin 30 deg or cos 60 deg are both exactly equal to 1/2. The calculator will convert them to a fraction.

On a more general note, the calculator will always be able to convert a fraction into an approximate decimal number, but the converse may not be possible. It depends on the number of display space available on the screen.

Feb 02, 2011 | Casio FX9750GII Graphic Calculator

By definition, a fraction is a number that is represented by the ratio of two integers (whole numbers). However, any value in radians is bound to be approximate because the radian unit is intrinsically linked to the value of pi. Ans as you well know, pi is an irrational number: a real number that cannot be represented by a fraction. Does it make sense to try to cast it into a form that it cannot have?

However, if you truncate an irrational number and keep only a limited number of digits in its decimal representation, then that approximate representation can of course be represented by a fraction. To effect that conversion, press the [FD] key to the right of the [a b/c] key.

If the number of display symbols to represent the fraction exceeds the limits of the screen then the calculator will ignore the command. It will not comply, because it cannot comply.

Some decimal representations already displayed as results can be converted, other cannot be.

However, if you truncate an irrational number and keep only a limited number of digits in its decimal representation, then that approximate representation can of course be represented by a fraction. To effect that conversion, press the [FD] key to the right of the [a b/c] key.

If the number of display symbols to represent the fraction exceeds the limits of the screen then the calculator will ignore the command. It will not comply, because it cannot comply.

Some decimal representations already displayed as results can be converted, other cannot be.

Jan 10, 2011 | Casio FX9750GII Graphic Calculator

Sorry but after I finished the post I noticed that the questuin is for the Casio FX0115ES while I decribed the calculator part for the TI84PLUS. However, the procedure is valid for any calculator that can generate a table from a given function. You should be able to implement it on the Casio. Just read the part that tells you how to create a table from a function: You should look at MODE TABLE

V=Pi*(r^2)*h

which gives h=V/(Pi*r^2)

Take this expression for h and substitute in the expression for the total surface. This gives (after simplifications)

S=2*Pi*r^2 +2*V/r

Open the table setup editor (Read your manual for the Casio)

Press [2nd][WINDOW] to access the Tabble setup

Set table start =2

Set DeltaTbl=0.05 (You can take a smaller value if you want)

Set Indepnt to Auto

Set Depend to Auto

Press [2nd][QUIT] to return to main calculator screen

Open the [Y=] editor

Enter the expression for the surface above as Y1=, using X as variable Y1= 2*Pi*X^2 +2*375/X

Press [2nd][GRAPH] to create the (table)

This part is not calculator-specific

Display the table and, scroll down examining the Y1 values.

Find the value of X (ie r) where the Y1 value is the smallest.

The value of X (r) you read to the left of of the minimum value of Y1 is in centimeters (because 375 mL= 375 cm^3)

The r-value that minimizes the surface should be around 3.90cm

Substitute this value for r in the expression for h above, calculate the value of h.

V=Pi*(r^2)*h

which gives h=V/(Pi*r^2)

Take this expression for h and substitute in the expression for the total surface. This gives (after simplifications)

S=2*Pi*r^2 +2*V/r

Open the table setup editor (Read your manual for the Casio)

Press [2nd][WINDOW] to access the Tabble setup

Set table start =2

Set DeltaTbl=0.05 (You can take a smaller value if you want)

Set Indepnt to Auto

Set Depend to Auto

Press [2nd][QUIT] to return to main calculator screen

Open the [Y=] editor

Enter the expression for the surface above as Y1=, using X as variable Y1= 2*Pi*X^2 +2*375/X

Press [2nd][GRAPH] to create the (table)

This part is not calculator-specific

Display the table and, scroll down examining the Y1 values.

Find the value of X (ie r) where the Y1 value is the smallest.

The value of X (r) you read to the left of of the minimum value of Y1 is in centimeters (because 375 mL= 375 cm^3)

The r-value that minimizes the surface should be around 3.90cm

Substitute this value for r in the expression for h above, calculate the value of h.

May 09, 2010 | Casio FX-115ES Scientific Calculator

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