For the recursively defined function T(n) = ST(1/2) + 3n Which of the following best reflects the two statements: A) T(n) = (nlgn) B) T(n) = O(2.25) n A. Only A is TRUE B. Only B is TRUE C. D. Both A and B are TRUE Both A and B are FALSE

Q: (1) F = B.C+A.C.D+A.C+E.B+E.(A+C).(A+D)

A:

Q: Use the set A = {2} to determine n(A). n(A) =

A: We have given a set  A=2 Number of elements in set A is 1. nA=1

Q: For geço (Rd), het ₁ (R²). prove loc g*h = C² (R³) and a B (9xh) = (aºg) th for any multi-index B

A:

Q: 7. Given that , -f() = 15, which of the following must be true? O-35, f (P) dp = 15 O-3 f (p) dp =…

A:

Q: Write a Pseudocode for a function that takes an integer n 2 1 and returns f(n) where f(n) = 3…

A: Solution: Input : n ≥ 1 Output : f(n) = 3.(f(n-1))2 + 2.f(n-2)  [Known information:      f(0) = f(1)…

Q: 5. Which of the has a domain of (-o, +c0)? a. f(x) = x b. f(x) = x2 c. f(x) = x d. f(x) = x*

A:

Q: Let f(r) z-6z and g(r) -6. Evaluate the following 1. (o g)(z)= 2. (g (z)= 4. (g)(e)

A: The given function is fx=x2-6x and gx=x-6

Q: Find the solution to this recursive relation  an=2nan-1, a0=3

A: Given that  an=2nan-1, a0=3 To find the solution of this recursive relation

Q: GIVEN: xihl i+ 2) 드 hai (-1)" (n + 2) 2"+1(n + 1) 4. Compute the exact value of n=0

A:

Q: Show the function f1(x) is primitive recursive. f1(x) returns n if factorial(n) = x but returns 0 if…

A:

Q: 3. A stamp collector wants to include in her collection exactly one stamp from each country of…

A:

Q: The population, P, of a certain village from 1960 to 1980 can be calculated using the function P(t)=…

A:

Q: Find x(t) for the following: X(s) = (a+1)(2+2) (-1)(s-2) Select one: O a. ¤(t) = (-6e t + 12e-2#…

A: Given:   X(s)=s+1s+2s-1s-2    Take partial fraction of s+1s+2(s-1)(s-2)…

Q: Simplify the following expressions using Boolean theorems: F = B.C+A.C.D+ĀC+E.B+E.(A+C).Ã+D) (1)

A:

Q: (c) (i) Express the decimal 9.999 in the form where a, b € Z.

A:

Q: Evaluate each of the following expressions using the given table of values. 3 4 5 7 6 5 3 4 7 6 5 5…

A: we need to find out the values of the composite functions.

Q: Evaluate the following commutators [Â, B] = ÂB – BÂ. Hint: use an arbitrary function that cancels at…

A: a x,PxPx=-ih∂∂xx,Pxφ=x,-ih∂∂xφ=-ihx∂φ∂x+ih∂∂xxφ=-ihx∂φ∂x+ih∂φ∂x+ihφ=ihφ∴x,Px=ih

Q: Find the equation of a quadratic function of the form f(x) = ar? +br + c with vertex at (4,8) and…

A: We have to find a quadratic equation of the form fx=ax2+bx+c with vertex at 4,8 and x-intercept is…

Q: The domain of the function /1- a² – y² ln(a² + y2 – 1) is empty. True False

A: We have to check

Q: Find the dual of the Boolean expression I +1.0+ Fyz O z. (z+1). (7+ y+z) O T. (7 +0). (7 + y+z) O z.…

A:

Q: Rewrite each of the following as a power function in the form kx", or state that it is not a power…

A: Given, 5x3;x3;72x

Q: Let the score on Fred’s first exam be q, the score on his second exam be s, and the score on his…

A: Score in first exam = q Score in second exam = s Score in third exam = t Total score = q + s + t…

Q: O F = (W+Y+Z).(W+X+Z).(X+Y+Z).

A:

Q: Let f : N x N H R be defined by (a + 1)(a + 2b) f (a, b) = (a) Show that the image of f is contained…

A: given that                                           f:N×N→R is defined.…

Q: 1. Expand the following expressions: a) (x+1)(x-4)

A:

Q: Suppose SCR is a set of numbers. (a) Define inf(S) and sup(S). (b) Show that inf(S) = - sup(-S). (c)…

A: Set: A well-defined collection of objects or numbers is called a set. We can write a set in two…

Q: 4. Translate the following sentences from English to predicate logic. The domain that you are…

A:

Q: 2t – 5, t 2

A:

Q: The dual of the following Boolean expression is (0 +1)(1+ yz) + 7 O (1.7) + (0.y + 2). z O (1.7) +…

A: We have to find the dual of 0+x1+yz+x

Q: Consider the following recursive function: 8 ƒ(n) = { 2. f(n − 1) Prove that the closed form is f(n)…

A:

Q: (a) f(g(6)) = [

A:

Q: The following table gives the number of American households (in millions) with cable TV in year t.…

A: image is attached