Show that f : N → R+ defined by f(n) = 3Vn+2 +n is O(n), but f(n) is not O(/n).

Q: Use your graphing calculator to solve the equation graphically for all real solutions 2³-6x²+x+28 =…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: (22) Let A = (-∞, -2] and B = (102, ∞).

A: Given A=(-∞, -2] , B=(102, ∞). Now, the union of two sets consists all those elements that belong to…

Q: Evaluate faJ4(a)da Hint: You may use - (a-PJ, (x)) = -a"Jp+1(x), da O -x- J3 (x) + 2x 2 J2 (a) + c O…

A:

Q: Q4// For all a, b, c in R, Then: O (1) (a-c)s(a-b)+(b-c). (2) la-c|Sla-b|+lb-cl. O (3)…

A:

Q: Let 7 (t) = Find 7 (t) デ'(t) =D<

A: r'(t) =d(r(t))/dt

Q: Consider the function f : N → N given recursively by f(0) = 1 and f(n + 1) = 2 · f(n). Find f(13).

A:

Q: Determine whether the function defined by = 2x1y₁ - x1y2 - x2y1 + 2x2y2 is an inner product on R².

A:

Q: Show that (a + b)x = ax + bx for all a, b E F and all x € F¹.

A:

Q: Show that Q[x]/⟨x 2 − 2⟩ ≅ Q[x]/⟨x 2 + 4x + 2⟩.

A:

Q: Show that * y = (y² – r*)(2² – x*)(2² – y³)

A:

Q: Suppose f(x) = f(x) dr Evaluate: A - In (:) 5 B) 36 In D

A:

Q: The function f(n) = 0.0007n² + 1000n +5 is O O(nlogn) O O(n) O 0(1) O O(n²)

A: Here, f(n) = 0.0007 n^2 + 1000 n + 5

Q: Assume that M = N₁(h) + a₁h² + a₂hª + azh6 + ... Then using Richardson extrapolation N4 (h) is of…

A: Use Richardson's extrapolation formula for even power series, to obtain the solution.…

Q: Let f(x) 273 find f(") (x). O a. (-1)"(2+2)! 4743 O b. (-1)" '(2+2)! 4013 O c. (-1)" (2- 2)! O d…

A:

Q: Consider the function f: N → N given recursively by f(0) = 2 and f(n + 1) = 4 · f(n). Find f(10) *…

A:

Q: Compute a (х + 2) dx. O x3 + x² + C O x² (x² + 2x)+C x2 + 2x ) + C 2 - + C 2 + x2 + C 3

A:

Q: 21. Let f(n) = [/n] – [/n – 1]. Prove that f is multiplicative but not completely multiplicative.

A: See the attachment

Q: ) Let f: R → R be defined by f(x) = 5x³ – 7x – 10. Prove that if |x| ≤ 3, then |ƒ(x)| ≤ 166.

A:

Q: Let f : R → R be an increasing function. Show that f(x) = x, ∀x ∈ R ⇔ f(x) = x, ∀x ∈ Q.

A:

Q: Show that f(x) = x* + 2x? + 5x +1 is irreducible over Q.

A: The given polynomial of the function is f(x)=x4+2x2+5x+1 We have to show that the polynomial is…

Q: Let f: X Y and A, B are non-void subsets of Y, then?(where the symbols have their usual…

A: We have to check which option is correct.

Q: E Show that x'+ 3x+ 2 has 4 zerosin Ze

A:

Q: who-The critical number(s) of fox) = critical nummber(s) of H8) = X-3

A: Given function is Firstly, we find f'(x) by using quotient rule of differentiation.

Q: Let f(2) = (52² + 6)"( – 52² + 5) f'(æ) =

A: