7. Find the least integer n such that f (x) is O(x") for each of these functions. a) f(x) = 2x³ +x² log x b) f(x) = 3x³ + (log x)4 c) f(x) = (x* +x² + 1)/(x³ + 1)

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A: Solution 5 : the correct options are : A and E Solution 6 : the correct options are : A

Q: Let f(x) = log₂ (x²+2x+1) and g(z) = log₂(x+1), find h(x) = f(x) + g(x). Oa) h(z) = 0 Ob) h(t) = 2 O…

A: This question can be solved using the concept of logarithmic function.

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A:

Q: What is the inverse of the function f(x) -In(5x + 1) – 7? ex – 6 elx + 7). 5 O fx)= elx+7] -4

A: Topic = Functions

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A: We want to find domain of g+f

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A: AS PER OUR BARTLEBY COMPANY GUIDELINES, WE ARE ALLOWED TO SOLVE ONLY ONE QUESTION WHEN MULTIPLE…

Q: 8) Using Theorem 6.2, show all work and determine the smallest integern for which f(x) = 2x3 +…

A:

Q: for: Q1) Find dx 1) y = log3(3x³ +x²)² x In(sec-1 /ã)

A: I have solved question 1 for next question repost.

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A:

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A:

Q: a) show that Sab = b) let c) find the solution set of 670 (ra) (56) where s.t. b 1 Show that Lio (x)…

A: Since you have posted multiple questions, we are supposed to answer only first  question. If you…

Q: a) x1+2log x = 100.x log x

A: Since you have asked multiple questions in a single request so we will be answering only first…

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A: Given that: fx=log1+x, x>0 To show  log1+x=x−x22+x331+θx3 for 0<θ<1 and log1+x<x−x22+x33…

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A:

Q: 2(д-1)(1-и) 9-1)(2-и)и+1 log((q-1)(2—и)и+1) u? > 0 for u > Show that u E - 0, 1], q > 3

A:

Q: f(x) = ln(3x + 5). Show with induction that the n-derivative of f is given with "the function from…

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Q: Find fx) if fx) = logX-5 %3D x4-3

A: f'(x)=?

Q: The domain of the logarithmic functiort f(x)=log_(a)x is

A: We find domain of the logarithmic function f(x)= logax.   Where, a > 0 is a constant.

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A: Consider the given differential equation.

Q: Consider the function f(x) = 24x³ + 3x² + 8x + 12. Show that f(x) is 0(x²) by determining a pair of…

A: if we have a function f(n) that represents the running time or space usage of an algorithm as a…

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A: Given function is f(x)

Q: #11

A:

Q: . f(x) = 2* DA. O(x²) DB. Ω(x) Dc. O(x²) f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²) DB.…

A:

Q: - Tuncuon j(x) = xlog x , then f'(1) is a) 1 b) logx c) x d) None of these O d O a O c O b If f(x) =…

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Q: 22. Find expressions for f(g(x)) and g(f(x)), and state their domains a) f(x)=√√√x;g(x)=x²-4 f(g(x))…

A: Solution :- The domain of a function is the set of input or argument values for which the function…

Q: 3) Calculate by means of the logarithm: a) x¹+2log x= 100.x log x b) log(x+2)+log(x-7) = 2.log (x-4)…

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Q: Let f R*R, defined by f(x) = 3*, then f(x) = %3D O log,3 3* o log3x log3

A: See solution below.

Q: 8. If (* = 256 and log (x - y) = 3, calculate the exact values of and y algebraically. Show work for…

A: Given ( 14 )x + y  = 256log4( x - y ) = 3

Q: Consider the function f(x) = 24x³ + 3x² + 8x + 12. Show that f(x) is 0 (x-) determining a pair of…

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Q: dy Q1) Find dx for : 1) y = log3(3x3 + x2)2 x In(sec- x)

A: I supposed to do only first question as our company guideline. Please repost other question as next…

Q: 7. Given the functions f(x) = log₂ (x-1) and g(x) = log₂ (9-x²), c) Determine (f-g)(x). b) State the…

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Q: Prove that log(x + y) = log(x) + log(y) if, and only if, y = 1, where x > 1.

A:

Q: [5] For each of the following functions f find a simple function g such that f(n) = (g(n)). (a)…

A: Given Data: We need to write Θ(g(n)) for given functions.