Minimize the following expression F (ABCD)=€(0,3,2,4,7,6,8)
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Minimize the following expression
F (ABCD)=€(0,3,2,4,7,6,8)
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- If A = {1, 2, 6} and B = {2, 3, 5}, then the union of A and B isQuadratic Root Solver For a general quadratic equation y = ax? + bx + c, the roots can be classified into three categories depending upon the value of the discriminant which is given by b2 - 4ac First, if the discriminant is equal to 0, there is only one real root. Then, if the discriminant is a positive value, there are two roots which are real and unequal. The roots can be computed as follows: -b+ Vb? – 4ac 2a Further, if the discriminant is a negative value, then there are two imaginary roots. In this case, the roots are given by b ь? - 4ас 2a 2a Programming tasks: A text file, coeff.txt has the following information: coeff.txt 3 4 4 4 1 4 Each line represents the values of a, b and c, for a quadratic equation. Write a program that read these coefficient values, calculate the roots of each quadratic equation, and display the results. Your program should perform the following tasks: • Check if the file is successfully opened before reading • Use loop to read the file from main…The distance d between a point p(x, y), where x and y are the coordinates of p, and the center of a circle (a, b), where a and b are the coordinates of the center, is given by the formula: (a, b). r d = (x – a)² + (y – b)² r The point p(x, y) is considered inside the circle if d r. (x, y)' (x', y') Write a Java class called CirclePointthat: a. Reads from the user 2 integer values x and y represent the coordinates of the point p, b. Reads from the user 2 integer values a and b represent the coordinates of the center of the circle, c. Reads from the user a real value r represents the radius of the circle, d. Calculates and prints the distance d (rounded to 2 decimal places) between the point p and the center of the circle, and e. Checks and prints whether the point is inside, on or outside the circle. NOTE: if the radius value is negative, an error message should be shown. Sample Run 1: ==================== Enter the coordinates of the point: 5 7 Enter the coordinates of the center of…
- A B C D X1 a1 b1 c3 L X2 a2 b1 c1 L X3 a2 b2 c1 H X4 a2 b2 c2 H X5 a2 b1 c1 L X6 a2 b2 c1 H X7 a2 b1 c2 H X8 a1 b2 c2 L Using the table above, calculate the following, there measures (1) Cosine. a) A1 ==> L b) A2, B2 ==> H c) A2, C2 ==> HTM M = (Q, E, I, 6, 90, 9a, qr), where Q = {90, 91, 92, 9a, 9r}, Σ = {0, 1}, r = {0, 1, L}, and 8 is: 8(qo, U) = (qr, U, R) 8(90, 0) = 8(go, 1) (91, 0, R) (qo, 1, R) = 8(g1, L) = (ga, U, R) 8(91,0) = (91, 0, R) 8(91, 1) = (92, 1, R) = (92, U, R) 8(92, U) 8(92, 0) = (90, 0, R) 8(92, 1) = (92, 1, R) i. Prove that M is NOT a decider. ii. Mathematically describe the language A that M recognises. Prove that A ≤ L(M). iii. Prove A = L(M). iv. Is A Turing-decidable? [Give clear reasons for your answer. No need for a formal proof.]Question-2: A pyramids are discovered, each has a triangular base with equal sides. An n meters high pyramid is constructed by forming n layers of triangles using Im cubical stones. Then layers are stacked on top of each other. The first layer is the triangle with n meters base, on top, n-1 meters base, until the top level which has only 1 stone. You are asked to calculate the number of stones needed to build a pyramid with the height n. WAIT! We just discovered that some pyramids have a secret room inside. This room is also of the same shape and structure as the pyramid with m layers of stones removed. In order for the room to be secret, mThis code segment generate an array 5-by-5 showing that each element in the upper triangle is equal to O, each element in the diagonal is equal to 1, and each element in the lower triangle * .is equal to 5 For I = 1 To 5 For j= 1 To 5 1-..... 2-.... 3-..... 4-..... 5-.... .. 6-..... End If Next j Next ILet P(x) denote the statement "x-3<12" where the domain consist of all non negative integers. Evaluate the truth value of 3xP(x)?Shamira Laundry has designed a new calculation system for their shop. The price for each type is as follows: 10 Туре Price Clothes RM 15 for 1 kilogram blankets / towels RM 6 for 1 kilogram RM 10 for 1 kilogram comforter Only one type can be washed at a time. This laundry shop also provides discounts to its customers as follow: Total price >= RM30 Discount 10% from total price >= RM20 dan = RM15 danSEE MORE QUESTIONSRecommended textbooks for youDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSONC How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag…Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSONC How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag…Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education