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Using the 3 methods above, create an application that calculates the roots of an equation of
second degree:
ax ² + bx + c = 0
For it exists, the coefficient a must be nonzero.
If delta is positive, then there are two distinct roots:
If delta is zero, then there is exactly one real root:
If delta is negative, there is no real solution.
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Solved in 2 steps with 3 images
- Using the 3 methods above, create an application that calculates the roots of an equation of second degree: ax 2 + bx + c 0 For it exists, the coefficient a must be nonzero. If delta is positive, then there are two distinct roots: -6+ VA -b- VA and 2a 2a If delta is zero, then there is exactly one real root: 2a If delta is negative, there is no real solution.Library tion formula is a=(v_(2)-v_(1))/(t), Solve for v_(1).Tiling: The precondition to the problem is that you are given threeintegers n, i, j, where i and j are in the range 1 to 2n. You have a 2n by 2n squareboard of squares. You have a sufficient number of tiles each with the shape . Your goalis to place nonoverlapping tiles on the board to cover each of the 2n × 2n tiles except forthe single square at location i, j. Give a recursive algorithm for this problem in whichyou place one tile yourself and then have four friends help you. What is your base case?
- IN PYTHON: import numpy as npimport numpy.linalg as la def smallest_eig(A):"""Given a positive definite symmetric matrix A,calculates the smallest eigenvalue of A andthe corresponding eigevector by using the inverseiteration. You are not allowed to use numpy.linalg functionsfor calculating the eigenvalues. However, you can usenumpy linalg functions for solving linear equations andfor calculating norms. Output: a tuple (lam, x), where lam is the smallesteigenvalue and x is the corresponding eigenvector """n = A.shape[0]lam = 0x = np.random.randn(n)passreturn (lam, x)Problem-1: Check if an integer is Prime An integer greater than 1 is prime if its only positive divisor is 1 or itself. For example, 2, 3, 5, and 7 are prime numbers, but 4, 6, 8, and 9 are not. Key idea: To test whether a number is prime, check whether it is divisible by 2, 3, 4, and so on up to number/2. If a divisor is found, the number is not a prime. The algorithm can be described as follows: Use a boolean variable isPrime to denote whether the number is prime; Set isPrime to true initially; for (int divisor = 2; divisor <= number / 2; divisor++) { if (number % divisor == 0) { Set isPrime to false Exit the loop; } }Ex: Let A1 ={x, y}, A2 ={1, 2}, and A3 ={a, b}, Find A1 × A2, (A1 × A2) × A3, A1 × A2 × A3.
- In Saudi Arabia, the Kudai Parking Area is a parking lot that is next to the Ajyad Police Station and close to the Power Plant. Kudai is a well-known parking space near Masjid al-Haram. After parking there, you can take a taxi to Masjid al-Haram for 10-15 Riyals for a 10-minute drive. The parking is usually heavily occupied, and the following formula is used to compute the parking lot uțilization: Percentage of Parking Lot Utilized - Number of lots occupied + Total number of lots Write a program that calculates the occupancy rate for each zone of a massive parking lot like Kudai. The program should start by asking for the number of zones in the parking lot. A loop should then iterate once for each zone. During each iteration, the loop should ask the user for the number of lots in the zone and the number of them that are occupied. After all the iterations, the program should display the number of lots the parking has, the number of them that are occupied, the number that is vacant, and…Write a program that asks user to enter number of vertices in an undirected graph and then the adjacency matrix representing the undirected graph. The program, then, must display whether the given graph is connected or not. Sample 1Enter number of vertices: 3Enter adjacency matrix:0 1 11 0 01 0 0The graph is connected.Scenario As you surely know, due to some astronomical reasons, years may be leap or common. The former are 366 days long, while the latter are 365 days long. Since the introduction of the Gregorian calendar (in 1582), the following rule is used to determine the kind of year: if the year number isn't divisible by four, it's a common year, otherwise, if the year number isn't divisible by 100, it's a leap year. otherwise, if the year number isn't divisible by 400, it's a common year. otherwise, it's a leap year. none of the above year int(input("enter the year")) if (year%4 1-0) and (year%400 -0) or (year % 1000): print (year is common year") else: print(year, is leap year") year= int(input ("enter the year")) if (years !-0) or (year480 1-0) and (year % 1001-0): print(year is common year") else: print(year, "is leap year") D year= int(input("enter the year"))
- Write a program that asks user to enter number of vertices in an undirected graph and then the adjacency matrix representing the undirected graph. The program, then, must display whether the given graph is connected or not.le.com/forms/d/e/1FAlpQLSc6PlhZGOLJ4LOHo5cCGEf9HDChfQ-tT1bES-BKgkKu44eEnw/formResponse The following iterative sequence is defined for the set of positive integers: Sn/2 3n +1 ifn is odd if n is even Un = Using the rule above and starting with 13, we generate the following sequence: 13 u13 = 40 u40 =20 u20 = 10→ u10 =5 u5 = 16 u16 = 8 ug = 4 → Us =2 u2 =1. It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. The below function takes as input an integer n and returns the number of terms generated by the sequence starting at n. function i-Seq (n) u=n; i=%3; while u =1 if statement 1 u=u/2; else statement 2 end i=i+1; end statement 1 and statement 2 should be replaced by: None of the choices statement 1 is "mod(u,2)=D%3D0" and statement 2 is "u = 3*u+1;" statement 1 is "u%2" and statement 2 is "u = 3*u+1;" O statement 1 is "mod(n,2)=30" and statement 2 is "u = 3*n+1;"2) A BMI Calculator: the body mass index (BMI) is a measure used to determine whether a person is overweight or not. We can calculate BMI from the weight of the person (in pounds) and the height (in inches) of the person. The formula for calculating BMI is: BMI = (weightInPounds 703) divided by (heightInInches squared) In this problem, you will have to create a BMI calculator, i.e., a Java program, that reads the user's weight in pounds and height in inches, then calculates and displays the user's body mass index BMI. Also, display the following information from the US Department of Health) so the user can evaluate his/her BMI: BMI values: Underweight: less than 18.5 Normal: between 18.5 and 24.9 Overweight: between 25 and 29.9 Obese: 30 or greater