Let f and g be two arithmetical functions. We have f(n) = Σg(d) →g(n) = Σμα) (3) d\n d\n

Q: C. Simplify the following Boolean expression and Implement the simplified function F. F = xy' +…

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Q: If f(1) =x² – 9 and g(x) = then (go f)(ī1) is I+8 O 16.00 O 0.20 O 64.00 0.80 O 7.00

A: Function

Q: Let f(r) z-6z and g(r) -6. Evaluate the following 1. (o g)(z)= 2. (g (z)= 4. (g)(e)

A: The given function is fx=x2-6x and gx=x-6

Q: A power representation of the function f(x) = for-1 < x < 1 is %3D 1-x Select one: 9n 9n 9n n=0 O…

A: This question can be solved using the concept of power representation of given function.

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

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Q: (b) Determine the value of k for which p(x) = k (0.01)*, x=1, 2, 3, ... x-1

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Q: determine L−1[F].

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Q: determine L−1[F].

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Q: Let f (t) = L1 {}. -3s Find f (7). 83 32

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Q: 2- Find f(t) for F(s) = s+4s+20

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Q: (9) Let X b(n,- and E(3x) = E(3-5x) find n.

A: It is an important part of statistics . It is widely used .

Q: Which of these functions are even ? A = f(t)= ₤²+2t B- m(t) = +4 +2 C- n(t)= tcos(t) - Sen² (+) P-…

A: Option (B)Explanation:A function f(x) is defined as an even function if f(-x) = f(x) Here out of all…

Q: P(x) = . Let and let = 10. Find P(9) x!

A: We have to find p(9)

Q: se the graph of the function f(x) and the table of the invertible function k(x) to answer each…

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Q: (a) {0, 10)} = {0, 10), (0, (01}} T F (b) {0, (0)} = {0, 10), (0, {0}}} {0} T F (c) {{0})} = {0,…

A: Identify if the given sttement are true or false

Q: Let f(x) 1 and g(x) = 4x + 7. Then с — 3 - (f o g)(0) = (f o g)(x) =

A: Given:

Q: Let f(x) = 5- x and g(x) 2, find: a. (fog)(0) b. (go f)(0) = c. (fo g)(x) Preview d. (go f)(x) =…

A: Value of the above ques is

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: 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…

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Q: Let two functions be f(x) = x2 - 4 and g(x) = (fo g)(x)? What is (fo g)(x) -4 %3D x2 +8x+16 (fo…

A: Given:fx=x2-4   and gx=1x+4f∘gx=?

Q: Let g be the function given by g(x) = C (2 – 5t – 14) dt. What is the x-coordinate of the point of…

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Q: Evaluate f(2) for f(t) = 1 + u₂(t)t.

A: Given: f(t)=1+u2(t)t To evaluate: f(2)

Q: d. Compute E(X) and Var(X).

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Q: 2x+ 1 Let f(x) = Compute f (2). 3x - 2 O A. 0 O B. -2 OC. 1 O D. 1 3 O E. 2 3.

A: Just I have used the quotient rule of derivative and easily find the required solution. Option (B)…

Q: determine L−1[F].

A: Given Data The function is F(s)=4/(s+2)3.   The general inverse transform rule is,

Q: Find L{f(t)}of the following functions. Note: a, b, e, k and n are constants.

A: Given, f(t)=t cos 8t + 2 Taking Laplace transform, we get L{f(t)}=L{t cos 8t + 2} ⇒L{f(t)}=L{t cos…

Q: Write f (t) = 5(7)t in the form f (t) = P0ekt for some P0 and k.

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Q: 1 Consider f(x) x – 16 a. Compute: f(a) = b. Compute and simplify: f(a + h) = c. Compute and…

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Q: A2. b. Given the two generating functions f (x) = and g(x) = find the (1-x)2 (1-x)2 generating…

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Q: Q.2 Find whether the following signal is odd function? f(x) = 5x³ 6(x4-4) even or

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