Consider f(n) = 3n^2+2n-1, mathematically show that f(n) is O(n²), (n²), and O(n²).

Q: What is the value of h(n) when n = 1 in the piecewise function, h(n) = 2n + 1 if n > 0 and h(n) =…

A: A piecewise function f(x) has a different relation between x and y in different domains of x as per…

Q: if f(x)=16x+3 find f prime of zero

A: The objective of the question is to find the derivative of the function f(x) = 16x + 3 at the point…

Q: er + e-x3 d) k(x)= 3e* + 4x

A: Given function, k(x)=ex+e-x33ex+4x

Q: Js:(Jī - x*) dz = 15/x (A) vX - 15x? +C 2 (B) 5x - 3 + C 4 (C) 2x5/2 _ 5x + C 4 (D) 25x5/2 5x1 + C 4…

A: Given: ∫5x(x-x2)dx

Q: :1 S* d(x³). 3

A:

Q: ƒ(5x² + 4x³ − 2x + 1)dx 이름 +2 -를 +a + C 5 2 O x5 x5 + x²-x²+x+C O 20x5 + A O 20x³ + 12x² −2+ C…

A: Given, ∫(5x4+4x3-2x+1)dx

Q: 9(x) = 2x + 3 (a) g(5) 6.

A:

Q: (P) xp- (e) fx dx (1) √(2x² - 6² xp(x9

A:

Q: pk Ph (x)=k! T(m-k+1) (k+m+1) m X \x X

A:

Q: If f (x) = 3x ^ 4 + 5x ^ 3 + x ^ 2-2 then write f (x) as the product of irreducible terms of Q

A: We have to express f(x) as the product of irreducible terms of Q.

Q: g(*) = ln (-3x+11) %3D calculate (X), A) 2(-3r +11)-3 B) -3(-3r + 11)-1 C) -54(-3r + 11)-3 D) -9(-3r…

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Q: fx) = x-x, g(x) = 9-2r, and h(x) = x² + 2x-63

A: Given f(x) = x2-x, h(x) = x2+2x-63 To find the function (f-h)(x) By definition of the difference of…

Q: If x- /10 =11, find x-V10x. (a) 1 (b) 10 (c) V10 (d) 3

A:

Q: Given f(x) 3 = T 3) (g f) (4) and x²-1 glx) 2x+7, find the following. 4) (gofog) (-1)

A: Given f(x)=3x2-1 and g(x)=2x+7

Q: What is the x=g(x) that will diverge the root of f(x) = x3 + 4x2 - 10?

A:

Q: Let f(x) = x3 + 5. Explain why f(x) is invertible, then show all steps in the derivation of a…

A: Invertible function and it's inverse.

Q: find

A:

Q: 2 (b) L1²}=3

A:

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

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: Find the polynomial f(x) for which x· f(x – 1) = (x – 3) · f(x), Væ |

A: find the polynomial f(x) for which  x fx-1=x-3 fx ∀x for x=0 x fx-1=x-3 fx ∀x

Q: (9) f(x² - & 8x + 3)dx (h) f(ax + + b)dx ff f(²x² (i) 7x + 4e -3dx

A: Here we have to find the integration using basic properties.   Part- g Now, ∫(x2-8x+3)dx=∫x2 dx-8 ∫x…

Q: Show that N-, (x) = (-1)"N„(x). Nó(x) = -N1(x). with open steps and explained pls

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Q: The following table gives the number I = I(t), in millions, of adult Americans with Internet access…

A: here we can use table to solve this question.