Q8. Let m = 5k(728) and n = 5*(1064) where k ≥ 0 then determine if – (a) τ(m) = τ(η) (b) σ(m) = σ(n) (c) μ(m) = μ(n) (d) φ(m) = φ(n)

Q: 6. Let s'+- if + -1 and a # 1 f (æ) if x = -1 if æ = 1 1 (a) Find f (-2). (b) Find f (-1). (c) Find…

A: Answer and explanation is given below

Q: 5) Given functions T(x) = 3x – x² and S(x) = 4x – 1 find the following: a) (T • S)(x) b) (T – 5)(-)…

A: Note:  In (T o S)(x) , s(x) is input. (T-S)(x) = T(x)-S(x).

Q: The fixed point/s of the function g(x) = In(e²* – 3e* +3) + x on [0,1] is / are: Select one: а. О, 1…

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Q: πχ If f(x) = 1 + x³ + tan 4 find (ƒ-¹)'(3)=?

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Q: Find a formula for f (z) if f(z) = I+1 f '(z) =O ( )'(2) =D-

A: We will use concept of inverse function and differentiation of a function.

Q: 1.3 Find a, for f(t) = t - t, - 1 < t < 1; f(t + 2) = f(t) %3D

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Q: f(x) Given that f( – 1) = 5, f'( – 1) = 6, g( – 1) = – 9, g'( –- 1) = – 6, and h(r) : g(x) %3| %3D…

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Q: Given f (k) = In(k2 + 2k + 1) – 3ke + 6k2 – 9k a. Using the properties of derivatives, solve for…

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Q: Given function G(x)= 3√2t² - 2 dt. Which V one of the following is true? A) G(3) <G'(3) <G"(3) B)…

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Q: Find h(g(2)), where h(x) = In(1+x²) and g(x) = Ve2a – 1. - O 6 оз O 4 O 5 O Answer not listed O 2

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Q: (c) cos(t+ T/4)8(t) (d) (t+1)8(t)dt + 1)8(t)dt (e) (t – 5)dt +1

A: (c) Concept Used:-δ(t)={0if t≠0∞t=0Consider cost+π4δ(t)=cost+π4.0t≠0∞t=0Hence cost+π4δ(t)=0t≠0∞t=0

Q: If g(t) = 4t9t², find all t for which g' (t) = 0.

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Q: Find E3,3 using the law according to the mittag Leffler function Γ(β)zn Σr(a(n-1) + B) Eaß(z) = z +…

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Q: b. 8(x) = E ()" k = 1

A: domain: where function is defined

Q: Write the functions f(x) = Σ 33n+1 and g(x) = Σ – n=0 n=0 24n+2 n! in terms of familiar functions.

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Q: If g(t) = 1_25, then find g'(t). t

A: We will differentiate the function with respect to t to find the required

Q: Suppose that r¹(t) = and 7(0) =. Find r(t) r(t) = < V

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Q: Given x (0) -2,x (1) =1, x (2) =2 evaluate X(k) by using DFT.

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Q: Let X - x? (s). Find (a) E (1+2X + X²) where E (g (x)) = 6° g (x) fx (x) dx. (b) the characteristic…

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Q: which formula you used in step 2? please c;lear

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Q: Let X~ N(1,4). What is E(X²)?

A: Here, it is given that X~N(1,4) that is X follows Normal distribution with mean μ=1 and variance…

Q: Find E3,4 using the law according to the mittag Leffler function Σr(a(n-1) + B) Eaß(z) = z + n=2

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Q: Determine a and b such that p(x) = x² + ax + b satisfies p(1) = 0 and p'(1) = 9. (Give an exact…

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Q: a. Use the formula к(t): = k(t): = ||r' (t) x r"(t)|| ||r' (t)||³ r(t) = e¹¹ti + e-tj to find k(t).

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only the…