Supporting info: (a) If x is N(μ, σ), then x̄ is N(μ, σ/√(n)). (c) Find P(x̄ < 22.62). Use the formula: z = (x̄-μ)/(σ/√(n)). (d) Find P(x̄ = 24.78).

Q: For ∑ 1/(n - π)  and ∑ (n - 1)/(n3 + 1), solve with either big Θ or with Limit Comparison.

A: Certainly, let's use the limit comparison test.1. For ∑ 1/(n - π):Since the limit is a finite…

Q: i) Derive the continued fraction of V13.

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Q: Use function f(x)=1/x to find: a. 2 b. f(a+2) c. f(0)

A: Given f(x)=1/x

Q: Let f(x) = and g(x) = - Find and simplify: (f + g)(x) Select one: A. x²+3x-1 x(x-1) B. -x+3x+1…

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Q: F(1) = 6 and F(n)=3x F(n-1)nz2.

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Q: For ƒ(x) = x + 10√ã, find (ƒ−¹)'(144).

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Q: 10 16.⁰ FIX Find f(x) dx if = 8 x for x < 8 for x ≥ 8

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Q: (x² for x < 2 Evaluate: g(x)dx where g(x) =16 – x for x 2 2

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Q: A = {x € Rx ≥ 5 and x 8 and r < 12}

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Q: (a) Show that A = 3. (b) Find P(2 < X < 3). (c) Find E(X).

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Q: The expression r = = 20/7 x5y y³ 4/7 = yt where: and t = ||

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Q: Evaluate the convolution, f(t) * g(t) = 10t *t², then evaluate at t = 11.

A: Given that f(t)*g(t)=10t*t2 Here f(t)=10t   and  g(t)=t2 From the definition of convolution of two…

Q: (c) Solve tan 2x = √3 for x in the domain 0≤x≤ 2π.

A: given tan2x=3        →tanπ3=3       →tan4π3=3

Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

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Q: For f(x) = (x – 1)° and g(x) = 1- 4x, find the following. (a) (fo g)(x) (b) (go f)(x) (c) F(f(x))…

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Q: f(x ) = x2 g(x) = [ x/21 Select the correct value for f• g(- 3/2). O a.-1 O b.0 Ос. 1 O d. 3

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Q: Given: f(x) = 1/x, find f(0.01+h) - f(0.01) / h

A: f(x) =1/x

Q: k²-4 Find k so that -In³ (kx + x) = - dx -In²(kx+). kx+1

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Q: (d) Find the values of x for which h(x) ≤ 2.

A: A graph of the function is given.The aim is to find the values of  for which .

Q: (42) For f(x) = -2r" + 5x° – 12x²5 + 10, the degree of f"(x) is

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Q: (-1)" Given: In(1+ x): if x < 1. n + 1 n=0 2. Evaluate f(2022) (0).

A: