Let A = {c, e,j, 1, s, u, y, z}, which of the following is true? There may'be more than one correct answer. OA. Ø CA B. {q,f,v, d} C A C. AC {I, y, s, u} D. {I, y, s, u} = {u, s, I, y} E. {1, y, s, u} C A F. {u, s, 1, y} C {I, y, s, u}- OG. {e, s, l, g} CA
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- 1. Determine |A|, where: {z} b. A = {{z}} _d. A = {z, {z}, {z, {z}}} _e. A = P({z}) _f. A = P({Ø,z}) a. A = _c. A = {z, {z}}If a, b, and c are the three sides of a triangle, then its area is, Area = √[s(s-a)(s-b)(s-c)] Here, "s" is the semi-perimeter of the triangle, i.e., s = (a + b + c)/2. However to be a valid triangle “the summation of any two sides should be greater than the third side.” i) Now Design a Class Triangle with a method checkValid() that returns true if it satisfies the criteria of a valid triangle. ii) Write down a method throwException() that uses the checkValid() and throws OwnException as described below. iii) Your own Exception class OwnException will throw an Exception if the valid triangle criteria is not satisfied with the information of “Not a real triangle” with the values of three sides. iv) A triangle object can be only instantiated with the value of three sides if it is a valid triangle otherwise an exception will be thrown. Similarly changing the sides of a triangle is possible if it satisfies the above criteria otherwise an exception will be thrown. v) In the Driver Class get…[Unbalanced Rod] Given a set of n weights {w₁,..., wn} and a rod of length n - 1 inches, we can attach the weights to the rod at hooks placed at one inch distances apart as shown in the figure below. -1". /10 2 3 12 2 4 We can attach a weight to any hook but no two weights can be attached to the same hook and we have to attach all the weights. For any given assignment of weights to hooks, we can compute the location of the center of mass of the rod and the weights according to the following equation (neglecting the weights of the rod and the hooks). where 0 ≤ Pi≤n-1 is the position of weight along the rod. For example, in the figure shown above, the center of mass is computed as C= C = i Wi Pi Σi Wi 10 0+2 1+3·2+4·3+12.4 +2.5 10+2+3+4+12+2 78 33 The problem is to find an assignment of weights to hooks that makes the center of mass as far as possible to the left, i.e., minimize the value of c. Answer the following questions. 1. Describe a greedy algorithm that finds the assignments that…
- Q10: Using (ode45, ode23, or ode15s), solve the below dynamic electrical system differential equation. 1. The charge Q(t) on the capacitor in the electrical circuit shown satisfies the differential equation where d²Q dQ 1 +R- + √ √e dt2 dt L = 0.5 R = 6.0 C= 0.02 and V(t) is the applied voltage. V(t) = V(t), henrys is the coil's inductance ohms is the resistor's resistance farads is the capacitor's capacitance ellee (i) Is the circuit oscillatory? (ii) If V(t) = 24 sin(10r) volts and Q(0) = 0 = Q'(0), find Q(t). (iii) Sketch the transient solution, the steady state solution, and the full solution Q(t).Superstitious Postman Rohit is a superstitious person and working as a postman. He is superstitious about the number 21. When he delt with any letter destinated to the pin code consist of "21", or any letter id consist of "21", or the whole number divided by "21", he refuses the letter to deliver. Otherwise, he would deliver the letter. Pin code and letter id are 6-digit and 8- digit information respectively. Rohit have to manage huge number of letters per day. As a friend, you should help Rohit. If you face any such number, you will display "I will not go there", otherwise show "I will go there". Input format 1st line consists of number of letters Rohit got from different sub post office and from 2nd line pin codes/letter id written on the letters will be displayed Input 5 700021 721654 432143 324216 00000042 Output I will not go there! I will not go there! I will not go there! I will not go there! I will not go there!irses/135852/quizzes/807844/take/questions/13768818 inal Exam A+ arted: Jun 17 at 10:03pm Quiz Instructions Show Instructions D 00 1 pts Question 5 Let p, q, and r be propositional variables. After simplification using equivalence laws, p^ (p v ¬¬(r⇒ q)) becomes ____ Op ^ (r+q) OP OT Op ^ q < Previous Next ▸ Il app.honorlock.com is sharing your screen. Stop sharing Hide Your Webcam JUN tv ♫ NA 30 17 F5 F6 80 F3 F4 F7 (((( DII F8 8£ N
- (Translate the following argument into PL using letters to represent simple propositions as needed.) 1. All even numbers are divisible by 2, and all odd numbers aren't. A number n being odd implies that n is not divisible by 2. A number n is odd if an only i it is not divisible by 2. It can't be the the case that a number is both greater than 1 and not a prime number. Therefore, 3 is an odd prime number.Note that for this question, you can in addition use ``land'' for the symbol ∧ ``lor'' for the symbol ∨ ``lnot'' for the symbol ¬. Given the following three sentences:A) Every mathematician is married to an engineer.B) A bachelor is not married to anyone.C) If George is a mathematician, then he is not a bachelor. a) Convert A,B,C into three FOL sentences, whereMn(x): x is a mathematician.Er(x): x is an engineer.Md(x,y): x is married to y.Br(x): x is a bachelor.george: George is a constant. b) Show that A does-not-entail C. (Hint: Consider defining an interpretation I such that I models A, but does-not-model C.)c) Show that {A,B} entails C. (Hint: For a given interpretation I, consider two difference cases, the case where Mn(george) is true, and the case Mn(george) is false. For both cases, argue that it is always that I models C).d) Convert A,B, lnot C into a set of clausal forms, number your clauses. (Note that C is negated here!) e) Derive the empty clause from the set of clauses…Q2: Answer the fallowing Suppose you have the Degree, and then find the Result As fallow: * A C 1 Result Degree 77 89 45 ? 66 6. 95 55 ? 9 max degree 10 ? 1- Find the result depending on Degree as fallow: Degree in [0:49] → "F". Degree in [50:59] → "E" Degree in [60..69] →"D" Degree in [70..79] →"C" Degree in [80..89] →"B" Degree in [100..90 →"A" 2-Find the max degree value Your answer N345 o709e
- 38. If p is true, q is false, r is true, and s is false, what are the truth values of ~(q ⇔ s) and ~r ⇔ ~q, respectively?38. The geometric mean g of n numbers x; is defined as the nth root of the product of x;: g=Vx1x2X3•…Xn (This is useful, for example, in finding the average rate of return for an investment which is something you'd do in engineering economics). If an investment returns 15% the first year, 50% the second, and 30% the third year, the average rate of return would be (1.15*1.50*1.30)") Compute this.Determine the validity of the ff. proof: Theorem: "the sum of any two rational numbers is a rational number" Proof: "Proof: Suppose r and s are rational numbers. By definition of rational, r = a/b for some integers a and b with b + 0, and s = a/b for some integers a and b with b + 0. Then 2a a r+s ==+ b b a - = b Let p = 2a. Then p is an integer since it is a prod- uct of integers. Hence r+s = p/b, where p and b are integers and b + 0. Thus r+ s is a rational number by definition of rational. This is what was to be shown." Maybe O Yes, it is valid Insufficient information to find the answer Not valid