**Due**: Friday, January 18, 2014 at 11:59pm**Points**: 100

Please turn in your answers for the homework assignment on Canvas, under Homework 1 in Assignments.

Here, what the computer prints is in `regular typewriter font`, what you type is in ` italic typewriter font`, and the symbol “↵” represents a return or enter.

- (
*25 points*) Write a program that asks the user for the temperature*t*in degrees Celsius and then displays the estimated vapor pressure of water vapor in millibars at that temperature using the approximation

Here, *e*is the base of the natural logarithms; use the math module’s function`math.exp(x)`to compute*e*. To do this, put the line ``^{x}`import math`'' at the beginning of your program.Use a function to compute the approximation. Your program should print the output in exactly this form (note you must have

*exactly*2 digits after the decimal point):

Use your program to estimate the temperature at which the vapor pressure is approximately 10 millibars (to two decimal places).`Enter temperature in degrees C:`*10*↵

At this temperature, the vapor pressure is approximately 12.27 millibarsCall this program “vp.py”, and put your answer in a comment at the beginning of the program.

*Hint*: One way to print the vapor pressure is to use the format string “`"%6.2f" % vp(t)`”, where`t`is the temperature and`vp(t)`> is the function to compute the vapor pressure from the temperature`t`. - (
*25 points*) Modify the program you wrote for question 1 to print the estimated vapor pressures for temperatures between −20 and 50 degrees Celsius at 5 degree intervals. Your output should look like this:

with the proper numbers substituted for the “…”s. Again, only compute the vapor pressure to 2 decimal places. Call this program “vptable.py”.`temp pressure`

---- --------

-20 1.26

…

50 124.02

- (
*25 points*) Write a program that reads an integer*n*and draws a regular polygon with*n*sides.Call this program “poly.py”.

*Hint*: Remember that a “regular polygon" is one that has sides of equal length, and all angles of equal size. - (
*25 points*) The goal of the following program is to convert a temperature from degrees Farenheit to degrees Celsius. The formula is:where *F*is the number of degrees Fahrenheit and*C*the number of degrees Celsius.Here is the program:

`ftemp = input("Enter degrees in Fahrenheit: ")`

ctemp = 5 // 9 * (ftemp - 32)

print(ftemp, "degrees Fahrenheit is", ctemp, "degrees centigrade")

But there are two problems:

- Whenever I run the program, it gives me a TypeError message as soon as I enter my number.
- Once I fixed this problem, it always tells me the result is −0.0 degrees Celsius.

Please fix both these problems, so the program converts Fahrenheit to Celsius correctly. The program must handle floating point numbers, so entering “32.5” should produce a (small) real number, not a ValueError.

Call your fixed program “ftoc.py”, and explain what caused the two problems in a comment at the beginning of the program.

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