Use initial value theorem and final value theorem to find f(0) and f(), if 6+7s2 + 5s F(s) s(s? + 4s + 2)

Q: -(x+6)2 + 4 for x 2 VI

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Q: What is the value of h(n) when n = 1 in the piecewise function, h(n) = 2n + 1 if n > 0 and h(n) =…

A: A piecewise function f(x) has a different relation between x and y in different domains of x as per…

Q: |x + 7| X < -7 X + 7.

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Q: f X~N(196,20), find x such that Pr(X < x) = 0.563.

A: Given data  X~N(196,220) Normal distribution with mean=196 and standard deviation =20 P(x&lt;X) =…

Q: Giving f(0.23) = 0.362, f(0.53) = 0.143, f(0.86) = −1.143, please use inverse interpolating method…

A: Given that f0.23=0.362, f0.53=0.143, f0.86=-1.143. Using inverse interpolating method to get the…

Q: Q2/Let X-N(4,9). Find (a) P(1 2). (c) P(|X-21 >5)

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Q: 5) — = [(-D)" (2-1)", when 12-1}<1. n=0

A: Introduction: A geometric series is a type of series which is in the form as follows:…

Q: Determine. '{F}. 4s2 + 3 sF(s) – SF(s) – 2F(s) = - s + 4s

A: Rewrite the given equation.

Q: if f(x)=16x+3 find f prime of zero

A: The objective of the question is to find the derivative of the function f(x) = 16x + 3 at the point…

Q: Use the derivative to find for which values of c the function 1 f(x) = CI+ x2 +3

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Q: How to get (t) when: h= -0.00439t^4+0.04293t^3-0.17316t^2-0.2711t+59471 And h=0

A: Putting h=0 in the given equation. -0.00439t4+0.04293t3-0.17316t2-0.2711t+59471=0 Let…

Q: Suppose that Sports Stylz Inc. determines that the revenue, in dollars, from the sale of x…

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Q: I am stuck. What do i do after Pr(Z<3.07) - Pr (z<1.76) Here is the problem. I saw an example…

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Q: 3.) flx) x+2

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

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Q: If X~t(10) then the p(x < 2.28)

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Q: (x+1 0SxS2 f(x) = { Then what is the result of| ($2) dz 5

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Q: V. b) Let X₁. X₂X128G(2,4), by CLT find P(7 < X < 9) use (N(2)-0.977).

A: Given that X1,X2, .....X128 ~G(2,4) then using CLT we have to find P(7&lt;x̄ &lt;9)

Q: (c) (i) Express the decimal 9.999 in the form where a, b € Z.

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Q: f(x) — 3(8х- х?)/256 for 0<x. Determine P(2<X<4)

A: It is given that,

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

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Q: Q2/ Let X-N(4,9). Find (a) P(1 2). (c) P(|X2| >5)

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Q: Which of (a)–(f) are true for a = −3 and b = 2? |a| &lt; |b|

A: Given: a=-3 and b=2. To determine whether a&lt;b is true or not. Solution:  We know that modulus of…

Q: x(n) = (0.8)" (-n-1) 1-(00) O 2 O otherwise -1 1-(00) 1-(08) +1 0 4JA O 3 JA

A: Topic:- z transform

Q: (d) P(X > 7) = i (e) Determinex such that P(X < x) = 0.99. X = i

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Q: 2x : 1 3 is not one to one True False

A: Given: The function f(x)=2x : 1≤x≤3x   :  x&gt;3

Q: Given f(z) 3D 1-홀 (7+ 3x) + 을(7+ 3x)2- (7+3x)" then f'(z) =. -을 + 꼴 (7+ 3z) -(7+3x)2+ | .... -글 +…

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Q: Given that X~N (2,25) , find pr (0 < ? < 10)

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Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: If L-[F(s)] = f(t), evaluate f(0) given by the expression F(s) : (s+2) %3D s2 (s+1)'

A: Solution

Q: The function f(n) = 0.0007n² + 1000n +5 is O O(nlogn) O O(n) O 0(1) O O(n²)

A: Here, f(n) = 0.0007 n^2 + 1000 n + 5

Q: Q3 Pind Domain for the functionsS:- x+4 All A// P(x) = 2?-4

A:

Q: 1b. please express in the notation p(x)=d(x)q(x)+r(x)

A: Given that,   Where p(x) denotes a polynomial and d(x) denotes a divisor.   Q(x) is quotients and…

Q: 구 4- 3- -5 -4 -3 -2 -1 4 -2 -4 -5 -7 of -8- f(x) = %3D

A: find the equation of the curve

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.