For the following question: Let Σ = {a, b} be an alphabet and let · denote concatenation. Compute (ba · ε) · abb, where ε is the empty word.
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For the following question: Let Σ = {a, b} be an alphabet and let · denote concatenation. Compute (ba · ε) · abb,
where ε is the empty word.
The concatenation of two or more numbers is the number formed by concatenating their numerals.
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- 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 validtriangle “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 gets the…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).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…
- Ql: The Collatz conjecture function is defined for a positive integer m as follows. (COO1) g(m) = 3m+1 if m is odd = m/2 if m is even =1 if m=1 The repeated application of the Collatz conjecture function, as follows: g(n), g(g(n)), g(g(g(n))), ... e.g. If m=17, the sequence is 1. g(17) = 52 2. g(52) = 26 3. g(26) = 13 4. g(13) = 40 5. g(40) = 20 6. g(20) = 10 7. g(10) = 5 8. g(5) = 16 9. g(16) = 8 10. g(8) = 4 11. g(4) = 2 12. g(2) = 1 Thus if m=17, apply the function 12 times in order to reach m=1. Use Recursive Function.Can help me with the answer.Interest on a credit card’s unpaid balance is calculated using the average daily balance. Suppose that netBalance is the balance shown in the bill, payment is the payment made, d1 is the number of days in the billing cycle, and d2 is the number of days payment is made before billing cycle. Then, the average daily balance is: averageDailyBalance =netBalance x d1-payment x d2d1 If the interest rate per month is, say, 0.0152, then the interest on the unpaid balance is: Interest= averageDailyBalance * 0.0152 Write a program using c++ compiler that accepts as inputnetBalance, payment, d1,d2, and interest rate per month. The program outputs the interest. Format your output to two decimal places.
- The velocity v and the falling distance d as a function of time of a skydiver that experience the air resistance can be approximated by: and d() = " in cosh :) kg v(t) = mg tanh where k = 0.24 Kg is a constant, m is the skydiver mass, g = 9.81 " is the acceleration due to gravity, and t is the time in seconds since the skydiver starts falling. Write m MATLAB code to determine the velocity v and the falling distance d at t = 8s for a 95kg skydiver. • Note: Velocity v and distance d are each worth 50% of the total points for this problem. Script e C Reset I MATLAB Docume 1 % Define variable(s) here. 3 v = % write the equation for v here, do not change the variable name. 4 d = % write the equation for d here, do not change the variable name.Let S(x) = "x is a student at Leeward Community College"; F(x) = "x is a faculty member at Leeward Community College", and E(x,y) "x has eaten y at the Leeward Community College cafeteria" where the universe of discourse for x is all the people who are associated with Leeward Community College, and the universe for discourse for y is the menu items in the Leeward Community College cafeteria. a. Translate into English: ³x y (S(x) -> E(x, y)) b. Translate into symbols: Every Leeward CC faculty member has eaten at least one menu item at the Leeward Community College cafeteria.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.
- True or False 1. Matrices are often represented by single small letters a, b, c... etc.2. Two m x n matrices A and B are equal if aij=bij for each i & j. (i.e., the two matrices havesame size, and all the corresponding elements are equal).3. Matrices A & B are said to be conformable in the order AB if, and only if, the number ofrows in A is equal to the number of columns in B.4. Suppose Matrix A is having 4 rows and 3 columns, and Matrix B is having 3 rows and 2columns. The product size of AB is a 4 x 2 matrix.5. Suppose B is the matrix obtained from an n x n matrix A by multiplying the entries in arow/column by a non-zero constant and adding the result to the corresponding entries inanother row/column. Then, det(B) = det(A).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?Let P(X) = “x lives in Los Angeles” and the u.d. for x is all students at Cinema Club. a. Translate into symbols, “There is at least one Cinema Club student who lives in Los Angeles.” b. Using symbols, express the negation of your expression for a.