Let a and b be integers. Then a divides b if and only if: O ab-k for som integer k O you can't divide integers O a=bk for some integer k O b=ak for some integer k
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- Let A := {0* 1"|n > 0}. And B := {w\wis an even number}. Show that AQ10: 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).I am what you call a perfectionist. I always strive for perfection, and I appreciate everyone and everything that is perfect. That is why I have recently acquired an appreciation for perfect numbers! I absolutely need to know which numbers from 1 to 1000 are considered perfect. From what I recall, a perfect number is a positive integer that is equal to the sum of all its divisors other than itself. Example: 6 is a perfect number because the divisors of 6 other than itself are 1, 2, and 3, and 1 + 2 + 3 = 6. c++ codeX Bird(x)=Can- Fly(x) This universal quantifier used here implies that All reptiles cannot fly Oa. Ob. Ob. All that flies is a Bird All Birds can fly Oc. All chicken are birds d.Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. Today the kindergarten has another gathering of n kids who should be situated during supper. The seats at the table are numbered from 1 to 4n. Two children can't sit on a similar seat. It is realized that two children who sit on seats with numbers an and b (a≠b) will enjoy if: gcd(a,b)=1 or, a partitions b or b separates a. gcd(a,b) — the greatest number x with the end goal that an is distinct by x and b is detachable by x. For instance, if n=3 and the children sit on seats with numbers 2, 3, 4, then, at that point, they will enjoy since 4 is isolated by 2 and gcd(2,3)=1. On the off chance that children sit on seats with numbers 4, 6, 10, they won't enjoy. The educator truly doesn't need the wreck at the table, so she needs to situate the children so there are no 2 of the child that can enjoy. All the more officially, she needs no pair of seats an and b that the children…Let N be the positive integers f: N->N, f(x)=5x, this function is O a. not injective O b. injective O c. surjective O d. No answer is correctTrue 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).مسئله ۱: حل مشكله التحسين الخطى التالية باستخدام طریقهٔ Large:M Max Z = x, +8x, Subject to (1) X, +3x, 56 2x, + x, = 8 X1, X, 20 نصائح: احصل على منطقة الإجابات المحتملة باستخدام طريقة الرسم. احصل أيضا على الإجابة وأجب عنها في بيئة برامج LINGO Python ,i Question 1: Solve the following linear optimization problem using the Large M methodInterest 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.2. If a number A is arithmetical right shifted by K times to get a number B, then prove that B = A/(2*K).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- Q1: Prove that: + ((X.Y). (X.Z)) = X + Y.Z?SEE MORE QUESTIONS