For each of the following systems, y[n] denotes the output and x[n] the input. Test each system for linearity and shift-invariance and show the result. y[n] = 2x[n] +3 y[n] = x[n].sin(n+7) y[n] = [x[n]]² + 3x[n] – 1

Q: Find the linearization of the function f(x) = √10 – x² at a = = 1 O L(x) = =¹²(x − 1) + 3

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Q: Suppose my new MyPhone cellphone costs $700, and depreciates in value by $30 per month. A new Cyborg…

A: We  are asked to write the formula for the given information.

Q: Given s(x)=(x-2)2, find s(4), s(-3), s(2), s(1) and s(0) and find the domain of s.

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Q: If f(1) 10 and f(n) = –3f (n – 1) + n then find the value of f(4).

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Q: ind the intersection point for the following linear functions. f(x) = 2x + 3 g(x) = -4x − 27

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Q: If f(1) = 4 and f(n) = f(n – 1) + 3 then find the value of f (4).

A: Given f(1)=4, f(n)=f(n-1)+3

Q: 3. Let f(x) = x2 + x + 3, g(x) = 5x +3 а. f(4x) and h(x) = 2x² – 4x + 1. Find the following: b.…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: if f(x)+g(x)= 3x +2 and g(x) = x - 1 then f(x)= %3D а. 2х+3 O b. 3x+2 О с. 3х-2 O d. x+4

A: Given,f(x)+g(x)=3x+2g(x)=x-1f(x)=?

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

A: If X~ B(n,1/2) We know that, Mean, E(X) of binomial distribution is given by np So  E(X)= np = n/2

Q: A homogeneous second-order linear differential equation, two functions y₁ and y₂, and a pair of…

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Q: Let f(x) = 2* and g(x) = 1. g(0) = 2. f(0) = 3. g(-1) = - (²³)*; and evaluate the following: 3

A: As per our guidelines we are suppose to solve only three sub-parts of a question if the multiple…

Q: 1. Given that f(x) = {(1, 3), (2, 9), (5, 7), (11, 9)} and g(x)= {(2, 8), (3, 1), (4, 5), (9, 1),…

A: Composition and division

Q: Let S(x) = (3x - 3-x)/2 1/2 and C(x) = (3x + 3-x)/2. Compute [C(x)]² - [S(x)]². [C(x)]² - [S(x)]² =…

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Q: Anna and Bob are the only residents of a small town. The town currently funds its fire department…

A: Ans:

Q: Z = (1 + i)(2-1)-¹, find |Z|.

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Q: If f(x) = x*(3x + 2)°, find f(x). O x(3x + 2)7(11x + 8) O x³(3x + 2)7(36x + 8) O x³(3x + 2)7(20x +…

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Q: f(0)=2 and f(n+1)=3f(n)-1. Find f(4)

A: To find f (4), obtain f (0), f (1) and f (2) as follows.

Q: Let f(x) = V2x and g(x) = -11/2x . Find (f + g)(x) and (f - g)(x). Then evaluate f +gand f - g for x…

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Q: Let f(x) = 2x + 3 and g(x) = 5æ² + 4x Compute and simplify the following. (f + g)(x) =

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Q: . Let f(x) = x2 + x + 3, g(x) = 5x + 3 and h(x) = 2x2 – 4x + 1. Find the following: a. f(4x) b.…

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Q: 40. Regression analysis makes use of the relationship between two or more quantitative variables so…

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Q: 1. The Lichti family member are very competitive card players. They keep score using a complicated…

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Q: Evaluate S(3) if S(r) = 4xr².

A: Given query is to find the value of S(3).

Q: b. Given f(x) = 3x + 2, g(x) = 2x² – 4x and h(x) = x-x+ 7, find (g + h) (-1/2). %3! %3D

A: Given: f(x)=3x-2, g(x) = 2x2 -4x and h(x) = x2 -x+7 To find: g+hf-12 This can be defined as follows: