Show that the following equalities are incorrect: (a) 10n2+9 = O(n) %3D (b) n²logn = O(n²) %3D (c) n²Aogn = O(n²) O(n2) %3D (d) n32" + 6n23" = 0(n³2") %3D

Q: find is the charact3ristic-s of log (1020.20)

A: А  lоgаrithm  is  the  роwer  tо  whiсh  а  number  must  be  rаised  in  оrder  tо  get  sоme…

Q: f( n) = n°logn and g( n) = 10n f( n) : |(g(n)) Big O Omega Theta

A: For n=8 f(n) = n2  log n = 8² log 8 = 64*3 = 192 g(n) = 10 n3 = 10*8³ = 5120

Q: The following equality [m(2,3,5,7) = TT M(2,3,5,7) is correct

A: In step 2, I have provided  ANSWER  with BRIEF  EXPLANTION-------------

Q: 7. The minterms of F(A,B,C) = (A' + B)(A' %3D C) are:

A: The minterms of F(A,B,C)=(A'+B)(A'+C) We given that: F(A,B,C)=(A'+B)(A'+C) We have to find: minterms…

Q: Show that if an = 5n3 - 14n2 + 7n - 3, then an = Θ(n3)

A: Given function an = 5n3-14n2+7n-3 Given an = Θ(n3) The function f is said to be Θ(g), if there are…

Q: Using the definition of O(), prove that 5n4 + 2n² Logn - 2 is O(n4).

A: The given expression is 5n4+2n2logn−2. We need to find the worst case complexity bound. The…

Q: Which of the following is false? OC(n, k) C(n, k-1) + C(n-1, k-1) OC(n, k) = C(n-1, k-1) + C(n-1, k)…

A: The statements given in the original question are related to combinations, which are a way of…

Q: Runge-Kutta method: K11=x2(k) K21=-3x1(k)x2(k)+kh K12=x2(k)+0.5hK21 K22=-3[x1(k)+0.5hK11]…

A: The Runge-Kutta method is a widely used method for solving ordinary differential equations. In this…

Q: Show 3x[p(x) A q(x)] E 3xp(x) ^3xq(x)

A: To prove: Prove that ∀x(P(x) ∧ Q(x)) is logically equivalent to ∀xP(x) ∧ ∀xQ(x)

Q: MEWORK by Gelt Find X(z) for the sequence x(n) =()" u(n) + 2ª u(n)

A:

Q: create a truth table for a. (p^q) V~q b. r =>(p V q)

A: In a truth table, each row corresponds to a specific combination of truth values assigned to the…

Q: evaluate nCxpxqn-x for the values of n, x, and p given in Problem A) n= 4, x= 2, p=1/2

A: P(X = x) = nCx pxq(n-x) where q = 1 - p Given n= 4, x= 2, p=1/2 So q=1-1/2=1/2

Q: : a. [(a mod n) - (b mod n)] mod n = (a - b) mod n

A:

Q: Given x[n] = x1[n] + x2[n] where, πη x1 [n] = 9 cos 4 and x2[n] = 8 sin 8

A:

Q: (n) and

A:

Q: Using the asymptotic notation definition, prove (find c1, c2 and no): 2n² lgn – n? + lg n = 0(n² lg…

A:

Q: Q3/ Simplify using K- map for the following truth table minterm : No. A B C D 1 0 0|0 1 2 1 3 1 1 1…

A: While forming groups of cells, we can consider a “Don’t Care” cell as 1 or 0 or we can also ignore…

Q: 2n-1 ) Prove using induction that Σ (2j + 1) = 3n² for all positive integers j=n n.

A: :: Solution::

Q: n51 +53. %3D Let n be a positive integer and f(n) = -53n109 Then f(n) is

A:

Q: solve this recurrence equation

A: To solve the recurrence equation \( 3t(n+1) = 2t(n) + tn \) with initial conditions \( t(7) = 0 \)…

Q: Show that if f(n) is O(g(n)) and g(n) is e(h(n)) then f(n) is O(h(n))

A: θ-notation denotes tight bound. O-notation denotes upper bound. For a given function g(n), we denote…

Q: xsinydx+(x2+1)cosydy=0

A: GIVEN : solve xsinydx+(x2+1)cosydy=0

Q: olve correct else downvo

A: According to the question Minimize the given function to the sum of products and product of sum:

Q: if DS=3456H,SS=234AH, IP = ADFC Mov [2345H], 5675H Mov AX, 1234H ADD AX, [2345H]

A: In this question, hexadecimal coed is given and we are asked to give a correct options out of 4…

Q: Show that T(n) has the same order as S(n) where T(n) = 3nª – 5n? S(n) = nº

A: Defined the asymptomatic order of the  given functions

Q: Prove √15n2log(5n) + 0.4n +√n is Θ(n2log(n)) using definitions only

A:

Q: To expand  (a + b)n,  we can use the       Theorem. Using this theorem, we find the expansion  (a…

A: Answer is given below .

Q: Answer the following questions where div is for finding integer quotient and mod is for remainder.…

A:

Q: What is the regular expression for this grammer

A: For it their are two possibilities either m<n or m=n For m<n Regular Expression(First…

Q: Find and simplify the generating function for ({01,0111}*0)*11*.

A: Answer: We have drawn the Machine function that will generate the string  or accept the…

Q: Using the definitions of big-Oh and big-2, find the upper and lower bounds for the following…

A: The definition of big O,big Omega and upper and lower bound

Q: 1- XYZ = ( ? ) 6- (ABC 16 + ABC 16 ) 2- (5B1.7 )16 = ( ? ) 3- (0.375 J10 = ( ? ½ 4- ( 100110 )2 = (…

A: Note: As, per our guidelines we can answer only three subdivisions, So please repost the remaining…

Q: (a) Show that T(n) = 3n²+ 10n + 1 is not (n²)

A: Answer: We need to shown the given tine complexity is not in θ(n2) So we will see in the more…

Q: hat for every integer n 21 (2

A: Solution - In the given question, we have to prove the given formula is true for n>=1.

Q: ;Q= [E exadecim:

A:

Q: 6. T(n) = 5T(n/2) + n²

A: Big O is a mathematical notation that describes the upper bound on growth rate of time complexity in…

Q: Based on the master theorem, what is the solution to T (n) = 3T () + n² %3D o e (n2) o (nº) O e (n²…

A: This question comes from Algorithms which is a paper of Computer Engineering. Let's discuss it in…

Q: solve the following equation

A: Step 1:The given recurrence relation is:tn​=tn−1​+3n2 for n⩾1 and t0​=7To solve the given recurrence…

Q: 11011100. 10110110, = ?10 = ?g = ?16'

A: The given binary number is converted to different number systems as described in the next step.

Q: this theorem, we find the expansion  (a + b)4 =         a4 +         a3b +

A: Here in this question we have given (a+b)^n..and using the theorem we have to expand (a+b)^4