160348 Final Exam - Part 2 Writing Code .pdf - Program 1...

Program 1
Programming Exercises (6.5)
Write the following function to display three numbers in increasing order:
Function Header def displaySortedNumbers(num1, num2, num3)
Parameters The three parameters ( num1 , num2 , num3 ) are numbers.
Return Value None
Write a test program that prompts the user to enter three numbers and invokes the function
to display them in increasing order.
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Solution
Program_1.py
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def main():
num1, num2, num3 = eval ( input ( "Enter three integers: " ))
# Invoke the displaySortedNumbers method to display the
# numbers in increasing order
displaySortedNumbers(num1, num2, num3)
def displaySortedNumbers(num1, num2, num3):
# Write the code to implement this method
if num1 > num2:
num1, num2 = num2, num1
if num2 > num3:
num2, num3 = num3, num2
if num1 > num2:
num1, num2 = num2, num1
print ( "The sorted numbers are" , num1, num2, num3)
# Call the main function
main()

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Program 2
Programming Exercises (6.13)
Write a function to compute the following series:
࠵?(࠵?) =
1
2
+
2
3
+ ⋯ +
࠵?
࠵? + 1
Function Header def m(i)
Parameters
The parameter ( i ) is a number, and it represents the variable of the above
equation.
Return Value
The result of the above equation.
Note: This function does not print anything.
Write a test program that displays the following table:
i m(i)
1 0.5000
2 1.1667
3 1.9167
...
18 15.4523
19 16.4023
20 17.3546

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Solution
Program_2.py
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def main():
print ( format ( "i" , "<15s" ), format ( "m(i)" , "<20s" ))
for i in range ( 1 , 20 + 1 ):
print ( format (i, "<15d" ), format (m(i), "<20.4f" ))
def m(n):
sum = 0
for i in range ( 1 , n + 1 ):
sum += i / (i + 1 )
return sum
main()

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Program 3
Programming Exercises (6.17)
Create the following two functions:
Function Header def isValid(side1, side2, side3):
Parameters The three parameters (side1, side2, side3) are numbers.
Return Value
It returns True if the sum of any two sides is greater than the third side.
Otherwise, it returns False.
Note: This function does not print anything.
Function Header def area(side1, side2, side3):
Parameters The three parameters (side1, side2, side3) are numbers.
Return Value
It returns the area of the triangle using the following formula:
࠵?࠵?࠵?࠵? = √࠵? × (࠵? − ࠵?࠵?࠵?࠵?1) × (࠵? − ࠵?࠵?࠵?࠵?2) × (࠵? − ࠵?࠵?࠵?࠵?3)
Where p is half the perimeter:
࠵? =
࠵?࠵?࠵?࠵?1 + ࠵?࠵?࠵?࠵?2 + ࠵?࠵?࠵?࠵?3
2
Note: This function does not print anything.
Write a test program that reads three sides for a triangle and computes the area if the
input is valid. Otherwise, it displays that the input is invalid:
Enter three sides in double: 1, 3, 1
<enter>
Input is invalid
Enter three sides in double: 1, 1, 1
<enter>
The area of the triangle is 0.4330127018922193