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Q: Differentiate and simplify: y= (3 – 4x)²* O a.y' = - 2(3 – 4x)²*-4x + (3 – 4x)In(3 – 4x)] Ob.y'= 2(3…

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Q: (5) 2x+1|s3

A: As per our guidelines we are supposed to solve one question.Pleaseresubmit the other question…

Q: The number N of bacteria in a refrigerated food is given by N(T)=20T^2-80T +500, 2<T<14 where T is…

A: Given A) The given functions are NT=20T2-80T+500, 2&lt;T&lt;14Tt=4t+2, 0&lt;t&lt;3 B) The given…

Q: (z/(u + m) = d)dĒшAuA (! h) 3n3m(n+m=4^n-m=2) (1=m-uv+=+u)шEUE (8 (S=₂+₂)Ẹи (ə (0 = m+u)шEUA (³ (m>…

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Q: Evaluate I = = / x*(x² + 4)³/ª dz

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Q: Differentiate y = VIn x 2 Inx +1 A. 2(In x)2 3. Inx-1 3 (In x)2 2 Inx-1 C. 2(In x)2 13 1. D. 3) 2(In…

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Q: Find the trigonometric Fourier of symmetric square wave showI x(t) 1 -T/2 T/2 t

A: Consider the given square wave as shown below: The objective is to find the trigonometric Fourier…

Q: (2) DE (D² D²-70³-11 0²-80-12/9=0

A: A detailed solution is given below.

Q: - xy +y= 0 %3D

A: The differential equation is given as y''-xy'+y=0. Let y=∑n=0∞anxn be the solution of the…

Q: Find: te (1 + Inx + ) he y? y+ylnx+ 2x O ylnx +y o 1 y x2 « Previous 98 %23 立

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Q: y" + xy' = 0, x0=0

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Q: Find y': O 2(x + 1)(x + 2) ○ (x + 2) (3x + 4) O (x + 2) (3x + 2) (3x + 4)(x + 1) y = (x + 1)(x + 2)²

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Q: Evaluate L-1{- [6] S -} + 169) (s - 9) (5².

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Q: YA 7) 3 X+4 3 y>}x-1 2 432 -2 -1 -4 2 3 4 -2 -3 4 -5

A: The given inequality is: y≤-34x+4y&gt;12x-1

Q: Evaluate: 3 A 1–x*) 2 + C 3 (1-x*) ² + C --(1-x*) ² +C D 1-x*) 2 + C 3

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Q: DUN PP 금 (8) 시대 1 ㅎㅎ ㅎ ㅎㅎ ||| AP dx y = u² and u = x² + 2 ***** DUE (b) y = u and u = 4x² ay I 이미…

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Q: One key point we are interested in are optimum values, or places where R is the largest or smallest…

A: Note:- As per our guidelines, We’ll answer the first question since the exact one wasn’t specified.…

Q: x+1 dx x(x+3)(x+2)(x-1)

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Q: Calculate y" and y" y = x² (8 x + 3)

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Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

Q: fin y" given that x^2 - xy + y^2 =3

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Q: Series Solution Method. In each of Problems 1 through 20, solve the given differential

A: Given,         y''+xy=0;        x0=0

Q: Series Solution Method. In each of Problems 1 through 20, solve the given differential equation by…

A: Given y''+5y'+6y=0,   x0=0   To Solve: The differential equation by means of a power series about…

Q: 6. у" — 4y' + 7у %3D0

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Q: L {te* - 5) U(t - 5)}

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Q: dx Evaluate / 25+7x2 V7x + C -1 tan O None 1 V7x tan- 25 + C 25 1 tan V7x + C 7.

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Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!