10.10 LAB: Quadratic formulaImplement the quadratic_formula() function. The function takes 3 arguments, a, b, and c, and computes the two results of the quadraticformula:2 -3-77the output is:-b-√b² - 4ac2aThe quadratic_formula() function returns the tuple (x1, x2). Ex: When a 1, b = -5, and c = 6, quadratic_formula() returns (3, 2).Code provided in main.py reads a single input line containing values for a, b, and c, separated by spaces. Each input is converted to a floatand passed to the quadratic_formula() function.Ex: If the input is:Solutions to 2x^2 + −3x + −77 = 0x1 = 7x2=-5.50x1 =487180.3542414.qx3zqy7−6+ √b²2ax2 =4ac 1 # TODO: Import math module23 def quadratic_formula(a, b, c):4# TODO: Compute the quadratic formula results in variables x1 and x2return (x1, x2)5678 def print_number(number, prefix_str):9if float(int (number))number:101112131415 if161718print(f'{prefix_str}{number:.0f}')print (f'{prefix_str}{number:.2f}')else:__name_____input_linesplit_line11'__main__":input()====input_line.split(" ")a = float(split_line [0])b = float(split_line[1])C = float(split_line[2])192021solution = quadratic_formula(a, b, c)22 print(f'Solutions to {a:.0f}x^2 + {b:.0f}x + {c:.0f} = 0')2324print_number(solution[0], 'x1print_number(solution[1],'x2==')'D

quadratic_formula(a,b,c):STARTdeterminant = sqrt(b*b - 4*a*c)x1 = ( -b + determinant)/2*ax2 = ( -b -…

10.10 LAB: Quadratic formula Implement the quadratic_formula() function. The function takes 3 arguments, a, b, and c, and computes the two results of the quadratic formula: x1 = 2-3-77 -b-√b² - 4ac 2a The quadratic_formula() function returns the tuple (x1, x2). Ex: When a = 1, b = -5, and c = 6, quadratic_formula() returns (3, 2). Code provided in main.py reads a single input line containing values for a, b, and c, separated by spaces. Each input is converted to a float and passed to the quadratic_formula() function. Ex: If the input is: -b+√b² - 4ac 2a x₂ =

10.10 LAB: Quadratic formula Implement the quadratic_formula() function. The function takes 3 arguments, a, b, and c, and computes the two results of the quadratic formula: x1 = 2-3-77 -b-√b² - 4ac 2a The quadratic_formula() function returns the tuple (x1, x2). Ex: When a = 1, b = -5, and c = 6, quadratic_formula() returns (3, 2). Code provided in main.py reads a single input line containing values for a, b, and c, separated by spaces. Each input is converted to a float and passed to the quadratic_formula() function. Ex: If the input is: -b+√b² - 4ac 2a x₂ =

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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6.14 Lab: Reversing an Integer. In this problem, your task is to complete the reverseNumber(num) function. The input of the function is an integer number num. The function should return a number where all the digits are reversed from the original number. You can assume that the input will be a non-negative integer. Example 1: If the input is: 123 The output is: 321 Example 2: If the input is: 321 The output is: 123 Example 3: If the input is: 1000 The output is: 1 Brainstorming. Oftentimes, a problem as formulated can be made easier when you change the way the data is represented. In this case, this problem can be solved in a clever way using strings. If you first convert the number into a string, you can then reverse the string and convert the number back to an integer. def reverseNumberUsingString(num): numInStringFormat = str(num) #converts the number into a string reversedNumberInStringFormat = numInStringFormat[::-1] #reverses the string reversedNumber =…
#5.Incorrect gurantee downvote. Euler's totient function, also known as phi-function ϕ(n),counts the number of integers between 1 and n inclusive,which are coprime to n.(Two numbers are coprime if their greatest common divisor (GCD) equals 1)."""def euler_totient(n): """Euler's totient function or Phi function. Time Complexity: O(sqrt(n)).""" result = n for i in range(2, int(n ** 0.5) + 1): if n % i == 0: while n % i == 0: n //= i.
7. Write a function that evaluates the area of a pentagon. Use "math.pi", for pi, and "math.sqrt" for square root. Write the solution on the space provided below. You do not need to run the code. 311 3.2 (Geometry: area of a pentagon) Write a program that prompts the user to enter the length from the center of a pentagon to a vertex and computes the area of the pen- tagon, as shown in the following figure. The formula for computing the area of a pentagon is Area 3√3 2 -s², where s is TT the length of a side. The side can be computed using the formula s = 2r sin 5' where r is the length from the center of a pentagon to a vertex. Here is a sample run: Enter the length from the center to a vertex: 5.5 Enter The area of the pentagon is 108.61
7. Write a function that evaluates the area of a pentagon. Use "math.pi", for pi, and "math.sqrt" for square root. Write the solution on the space provided below. You do not need to run the code. DII 3.2 (Geometry: area of a pentagon) Write a program that prompts the user to enter the length from the center of a pentagon to a vertex and computes the area of the pen- tagon, as shown in the following figure. 3√3 2 The formula for computing the area of a pentagon is Area -s², where s is TT the length of a side. The side can be computed using the formula s = 2r sin 5 = where r is the length from the center of a pentagon to a vertex. Here is a sample run:
3.6 LAB: Number pattern Write a recursive function called print_num_pattern() to output the following number pattern. Given a positive integer as input (Ex: 12), subtract another positive integer (Ex: 3) continually until 0 or a negative value is reached, and then continually add the second integer until the first integer is again reached. For coding simplicity, output a space after every integer, including the last. Do not end output with a newline Ex. If the input is: 12 3 the output is 12 9 6 3 0 3 6 9 12 0/10 LAB ACTIVITY 3.6.1: LAB: Number pattern main.py Load default template 1. TODO: Write recursive print_num_pattern() function 2 3 if name "main": 4 numi int(input()) 5 num2 int(input()) print_num_pattern(num, num2)
3.6 LAB: Number pattern Write a recursive function called print_num_pattern() to output the following number pattern. Given a positive integer as input (Ex: 12), subtract another positive integer (Ex: 3) continually until 0 or a negative value is reached, and then continually add the second integer until the first integer is again reached. For coding simplicity, output a space after every integer, including the last. Do not end output with a newline. Ex. If the input is: 12 3 the output is: 12 9 6 3 0 3 6 9 12
Q1\A) A paint company is trying to recycle unpopular paint colours by mixing them together to create better colours. All paints are composed of four pigments (A,B,C,D). The current paints are composed of pigments (in percent) according to the following equations: are p₁ = 80A + 16C + 4D, P2 = 80B + 20C, P3 = 30A + 10B + 60℃, p4 = 10A + 10B + 72C + 8D. The better colour say p5 is composed as follows: p5 = 40A + 27B + 31C + 2D. How much of the paints P1, P2, P3, and p4 should be used to make one gallon of p5. Hint: use (Ax=b). B) Write a MATLAB program to transform temperature from Fahrenheit to Celsius, if the temperature is (OF) and the formula is Celsius= (Fahrenheit-32)x5/9.
6.Coding-----""Euler's totient function, also known as phi-function ϕ(n),counts the number of integers between 1 and n inclusive,which are coprime to n.(Two numbers are coprime if their greatest common divisor (GCD) equals 1)."""def euler_totient(n): """Euler's totient function or Phi function. Time Complexity: O(sqrt(n)).""" result = n for i in range(2, int(n ** 0.5) + 1): if n % i == 0: while n % i == 0: n //= i.
2.11 LAB: Pizza party Given the number of people attending a pizza party, output the number of needed pizzas and total cost. For the calculation, assume that people eat 2 slices on average and each pizza has 12 slices and costs $14.95. Output each floating-point value with two digits after the decimal point, which can be achieved as follows: cout << fixed << setprecision (2); Ex: If the input is 4 the output is Pizzas: 1 Coat: $14.95 Hint: Use the ceil() function to round up the number of pizzas so that enough pizzas are ordered 347536.26-48356/
5.10 LAB: User-Defined Functions: Step counter CORAL LANGUAGE PLEASE A pedometer treats walking 2,000 steps as walking 1 mile. Define a function named StepsToMiles that takes an integer as a parameter, representing the number of steps, and returns a float that represents the number of miles walked. Then, write a main program that reads the number of steps as an input, calls function StepsToMiles() with the input as an argument, and outputs the miles walked. Output the result with four digits after the decimal point, which can be achieved as follows:Put result to output with 4 decimal places If the input of the program is: 5345 the function returns and the output of the program is: 2.6725 Your program should define and call a function:Function StepsToMiles(integer userSteps) returns float numMiles
6.23 LAB: Leap year - functions A year in the modern Gregorian Calendar consists of 365 days. In reality, the earth takes longer to rotate around the sun. To account for the difference in time, every 4 years, a leap year takes place. A leap year is when a year has 366 days: An extra day, February 29th. The requirements for a given year to be a leap year are: 1) The year must be divisible by 4 2) If the year is a century year (1700, 1800, etc.), the year must be evenly divisible by 400 Some example leap years are 1600, 1712, and 2016. Write a program that takes in a year and determines whether that year is a leap year. Ex: If the input is: 1712 the output is: 1712 is a leap year. Ex: If the input is: 1913 the output is: 1913 is not a leap year. Your program must define and call the following function. The function should return True if the input year is a leap year or False otherwise.def is_leap_year(user_year) Use Python, please.
Q1\A) A paint company is trying to recycle unpopular paint colours by mixing them together to create better colours. All paints are composed of four pigments (A,B,C,D). The current paints are composed of pigments (in percent) according to the following equations: are p₁ = 80A + 16C + 4D, P280B + 20C, ps-30A + 10B + 60C, p. 10A + 10B + 72C + 8D. The better colour say ps is composed as follows: ps = 40A + 27B +31C + 2D. How much of the paints P₁, P2, P3, and p, should be used to make one gallon of ps. Hint: use (Ax-b).