Determine the truth value of the statement given that p is true, q is false, and r is false. 1. (p∧q)↔(p∨r) 2. (p∧∼q)∧(∼r∨q)
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Determine the truth value of the statement given that p is true, q is false, and r is false.
1. (p∧q)↔(p∨r)
2. (p∧∼q)∧(∼r∨q)
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- Construct a truth table to decide if the two statements are equivalent. ~p ∧ ~q; ~(p ∨ q) TRUE FALSEHeat capacity of a solid: Debye's theory of solids gives the heat capacity of a solid at temperature T to be 3 T rOp/T Cy = 9VpkB (e* – 1)2 dx, - where V is the volume of the solid, p is the number density of atoms, kg is Boltzmann's constant, and 0D is the so-called Debye temperature, a property of solids that depends on their density and speed of sound. Develop a computer code to evaluate Cy (T) for a given value of the temperature, for a sample consisting of 1000 cubic centimeters of solid aluminum, which has a number density of p = 6.022 x 1028m-3 and a Debye temperature of 0p = 428K. The Boltzmann's constant kg = 1.380649 x 10-23 J · K-1. Please evaluate the integral with the following methods: (a) MATLAB adaptive Simpson quadrature, [Q.FCNT] = QUAD(FUN,A,B,TOL) with TOL =le-10.Section: FactThyroid function is measured using a factor called TSH, which stands for thyroid-stimulatinghormone. A TSH test is a blood test that measures this hormone. TSH normal values are 0.5 to 5.0mIU/L. If TSH is over 5.0 thyroid is underactive. On the other hand, if TSH is less than 0.5 thyroid isoveractive.
- 1. Either the number is positive or even, but the number is odd, hence it is even. ?. Construct truth table.20.If A, B, and C are Boolean variables, which of the following statements are correct?a) A ∧ (B ∨ C) = (A ∧ B) ∨ (A ∧ C)b) A ∨ (B ∧ C) = (A ∨ B) ∧ (A ∨ C)c) (A ∧ B) ∨ C = C ∨ (B ∧ A)Objective: The objective of this discussion is to be aware of the field of logic. Problem Statement: Show that the following statements are equivalent, where n is an integer greater than or equal to 2. consider the following pairs.1. “n is even” and “n – 1 is odd”2. “n is even” and “n(square2) is even”3. “n – 1 is odd” and “n(square2) is even”
- Create right triangle without any statements (i.e.IF conditions.)Is the following argument valid? Prove your answer by replacing each proposition with a variable to obtain the form of the argument. Then prove that the form is either valid or invalid. He studied for the test or he failed the test or both.He passed the test.∴ He studied for the test.Write TRUE if the statement is true, otherwise, write FALSE. The statement (¬P ∨ Q) ∧ (¬Q ∨ P) is a contradiction.
- The following formula is not a tautology: (((B⇒C) ^ ¬(B⇒ A)) ⇒ ¬(C' ^ D⇒ A)) Find an interpretation that makes the formula false. Then copy the interpretation below, checking all and only the propositional symbols that are true. A B DCan all the questions be solved in one way?Using for statementNUMERICAL SOLUTIONS (Methods in solving Non-linear equations.) UPVOTE WILL BE GIVEN. Please write the complete solutions legibly and completely. No long explanation needed. Answer in 2 decimal places.