a PDE from the following- @u =f() Form メソ

Q: 13. If f(x) = 1 / (5 + 7x) , find S f(x) by using a u-substitution. Show the u-substitutions.

A: Given, fx = 15 +7x  We have to find ∫fx using u substitution

Q: A college professor never finishes his lecture before the end of the hour and always finishes his…

A: c) Given density is, fx=0.375x2, 0≤x≤2 Consider, P30 sec≤X≤90 sec=P0.5 min≤X≤1.5 min)     since, 1…

Q: dæ x-1 1

A: Solution: The objective is to find whether the given integral converges or not

Q: Let's say we have an exponentially distributed process X described as follows: -x/B f(x) = e x > 0 x…

A: in above example pdf of exponential distribution is given with parameter 1β. we know that mean of…

Q: 8. If g(x) = e*In(x+1), compute g'(x). What techniques are you using in this case?

A: Solution is given below..

Q: 1+e-* Show that dr diverges.

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Q: Starting from the function f(x) = e¬alx| -L 1 where

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Q: Let X ~ Poisson(λ). Derive the moment generating function of X and use that to find E(X3)

A: Solution: Let X~Poisson(λ) The probability distribution of X is  P(x)=e-λλxx!    x=0,1,2,3,..

Q: 9. Find the value(s) of k that makes the function continuous over the given interval. fx) = {3x + 4,…

A: Solve the question number 9 as asked by the user

Q: (a) Calculate the moment generating function for X. (b) Use the moment generating function to…

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Q: 2. If :|S1, determine the maximum modulus f(:) (a) f(=) =z-2z+3, (b) f(=) == +z-1, (c) f(=)3= :+1…

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Q: A. Differentiate the given funetion. 1. y= T* + 4x° -t

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Kronecker delta function is 6mn = 0 ifm=n صواب Íhi

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Quest The moment generating function of X is given by Mx() = exp(2e - 2} and that of Y by Myt) = (e…

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Q: ,15 15 ** Let f be a continuous function. If f(x)dx = 15 and f(x)dx = -8, then f(x)dx equals -5 В C…

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Q: 11

A: Condition:

Q: Show that >n"x" diverges for all x + 0. n=0

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Q: (a) Show that the moment generating function of X is given by 1 Мx() - 1<t< 1. 1 – t2

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Q: 7) Use Theorem 7.1.1 (Table) to find L{f(1}} for the following: S)-(e*-e*)}° a.

A: The given function is f(t)=(e-3t-e5t)2. Expand the function implies, f(t)=e-6t+e10t-2e2t The Laplace…

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: b) Is the Soluticn increasing or P N decreasia a when between o and te canyjug capacity

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Q: Find number k so that f(z) = 10x + 8 x -1 is continuous on (-0,0). O -2 4 -4

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Q: 2. Show that X H→ In x is increasing on (0,0) and that In 1 = 0:

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Q: 1. Find the discontinuity point/s of f(x) =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the domain at the Furetion Iこ1パー25 rate in intervul Notation x4

A: Given f(x)=x2-25x4we have to find the domain of the given function

Q: Find the value(s) of k that makes the function continuous over the given interval. a < k k < a S 3x…

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Q: How do i find e(x), var(x) and e(x^3) using the moment generating function

A: Let us define the random variable X with moment generating function Mx(t).The moment generating…

Q: Find the largest & smallest values of the giver function over the prescribed closed, bounde…

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Q: Suppose that the function f(x) is continuous everywhere. Suppose further that the points (x, y),…

A: The interpolation techniques are used to establish the functional relationship between any two…

Q: , 6]. che function on this interval. 1/sqrtx ow there exists a c in the open interval (2, 6) such tl

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Q: 1. Apply the Parseval's identity to the function f (x) = x, –n < x < n

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Q: 2. Compute / f(x)dx for the following function. O if x 0 f(x)

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Q: 3. If the pdf is -a<x<a ,Find the generating function( express your answer in 2a simplified form)

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Q: he population y(t) of a certain microorgani ts quadrupling time is found to be 19.4 hou

A: In this question, the concept of the derivative is applied. Derivative A derivative could be a tool…

Q: 2. (a) Use the definition of the derivative and the Binomial Theorem to = nx"-1 for any x" is f'(x)…

A: Since you have asked multiple question, we can solve first question for you. If you want other…

Q: 7. Suppose fis an odd function, f(x) dx = 2 and | f(x) dx = 7. Evaluate f(x) dx.

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Q: 8 Ay 10- f(x) dx using Compute the following estimate of 8- the graph in the figure. 6- S(4) 4- 2-

A: The given graph is  To find ∫08fxdx using Simpson's Rule with n=4

Q: 3. If the pdf is -a<x<a , Find the generating function( express your answer in simplified form)

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Q: 3. Define f(2) in a way that extends f(s) = -8 to be continuous at s = 2. s2 – 4

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Q: suppose the quantity of a substance, Q, decreases by 6.5% in 10 hours 1. find a formula for the…

A: The decay model is represented by,

Q: Please see picture

A: Introduction:Here, MX (t) denotes the moment generating function (mgf) of the random variable X;…

Q: 1 dt, for x > 4. In(t) Let F(x) 4

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Q: Glven 2 state the con cauity and verify by analy 2ing the signs of the Eリ1] = 3-2.e secand…

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Q: 41. Can √5 be approximated through fixed-point iteration? Define a f(x) and a g(x) to do this if it…

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Q: (a) Calculate the moment generating function for X. b) Use the moment generating function to…

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Q: Find the derivative of following series: (k + 2) 2k k+1 a) OE (k + 1) (k + 2) 2k k 1 b) OE (k + 2)…

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Q: of of and Find dy for the following function. f(x,y) 3 е 4xу In (6у) of of II

A: If the function is a multi-variable function then to find the derivative with respect to one…

Q: Which of the following graphs is the slope field for dx 12 -3-211. s 2 13 US 111-2-/35 1112 111²-111…

A: Here we have to solve the given differential equation and plot the solution