Ouestion 19 } Prone Thnt f(z) is continue ous then T(O)d! ] dw.

Q: Liebniz theorem

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Q: Preimage Image

A: Solution

Q: lim sin Zy Fan3y ア

A: Limit y tends to 0.

Q: the domain of : POINT 1) f(x, y) = 2) f(x, y) = Ln(2 + x +y) x+y Зху 3) f(x,y,z) : 4) f(x, y, z) =…

A: The domain is, {(x,y) ∈ R²  x+y ≠ 0} i.e. {(x,y) ∈ R²  x ≠ - y}

Q: Mean Value Theorem | Suppose two cars start a race at the same time and end it at the same time.…

A: Mean Value Theorem: Let fx be a continuous over the interval a,b and differentiable over interval…

Q: continuous random Variable X has probability Density function defined by f(x) = 5-5x;  0

A: Given: f(x) = 5-5x

Q: Let X and Y be independent random variables and distributed as Uniform distribution on the interval…

A: Given:Let X and Y be independent random variables.X and Y follows U(0,2).Here we find that V=XY find…

Q: . Find the probability density function of y

A: Given: Here a point is X selected at random from the interval (0,1) then the another point is…

Q: How is this intergrating done, it says they integrate between time  0 and time T. S = stock price…

A: dS=μS dt dSS=μ dt Now on integrating,  ∫S0STdSS=∫0Tμ dt log(S)S0ST=μt0T lnST-lnS0=μT-0

Q: nty density function of a random variable X is sin x, for 0 <xS f (x) = {2 0, elsewhere Find the…

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Q: 8. The order of differentiation in multiple integration of continuous integrand A. has six…

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Beta Function Prove that Vtan a do - 1//2.

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Q: Proof the uniform convergence and differentiation

A: Let I:=[a,b] be an interval and fn:I→R differentiable functions with f′n converges uniform to a…

Q: Proof Show thata randomvariable Xis independent ofit selfifan donlyif Xis…

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Q: A continuous random variable X has a uniform distribution on the interval [−3,3]. Sketch the graph…

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Q: lim tan 2x tan ax

A: Given that,limx→0tan2xx

Q: First and second derrivative of y= 2 Arccos(1-x/2)+√4x-x^2

A: Given, y=2cos−11−x2+4x−x2

Q: Divergent Theorem

A: We have to find out all the values of 'b' where It is given that  where

Q: critical point of y х — 2

A: Calculate the derivative of the given function using quotient rule. y'=3x2x-2-1x3x-22=2x3-6x2x-22

Q: Gamma Distribution. What are the probability density funcion and mean of X if its moment-generating…

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Q: A random variable 0~U(- ), find the probability density function of the random variable Y = tan 0

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Q: Let X and Y be independent random variables and distributed as Uniform distribution on the interval…

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Q: A random variable Z has a standard normal density function given by: 1 f(2) = exp(-,2²), –∞ < z < +∞…

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Q: The probability density function fx (x) of the random variable X fx(2) = { otherwise It is given in…

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Q: Cramer's Rule.

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Q: Probability density function of quantization error for a "specially designed uniform quantizer" is…

A: This question is about application of statistical analysis

Q: nat value of th

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Q: continuous random variable has probability density function given by F(x) =k(2x+3)   1&lt;=x&lt;=2…

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Q: function given by 3x4. x 21, Sx(x) = 0, otherwise. A new random variable Y is defined by the…

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Q: 8. A factory is supplied with grain at the beginning of each week. The weekly demand X, thousanfd…

A: A continuous function f(x) is said to be the probability density function of the continuous random…

Q: Series to Bind use lim Xe² 1- Cos 2X

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Q: A continuous random variable has a probability density function of f(x) = 2x² for 0 < x≤ 2 and is…

A: Given that  A continuous random variable has a probability density function of f_{x}(x) = 2x2 for 0…

Q: 2e^-x(4-x^2) Upper limit :10 Lower limit : -2

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Q: Divergence Theorem.

A: We have to solve the given integral by divergence theorem. The given integral is ∫∫sdsa2x2+b2y2+c2z2…

Q: irst and second derrivative of: 4In(Arctan x)=1-y

A: The derivative of a function f(x) is defined as limh→0f(x+h)-f(x)h. For some standard function the…

Q: inearlization of x^5 at x=1

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Q: BETA FUNCTION:EVALUATE THEFOLLOWINGINTEGRALS: TT ats ans: 3/4

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Q: Proof of Bessel’s inequality

A: We need to prove Bessel’s inequality: 12a02+∑k=1∞ak2+bk2≤1π∫-ππf(x)2dx. For (a), For any n≥1, define…

Q: A random variable 0~U(-), find the probability density function of the random variable Y = tan

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Q: A continuous random variable has probability density function f(x) = kx2 e −x on the interval [0,…

A: Given: Probability distribution functionf(x)=kx2e-x Therefore ∫05f(x)dx=1. Substitute f(x)=kx2e-x.…

Q: Combined probability density function of continuous random variables X and Y -∞<x<∞ , -∞<y<∞ If it…

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Q: particle is moving on the unit circle x² + y² = 1 at the constant angular ing at the initial…

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Q: Continuous random variables 3. Let X be a continuous random varibale with pdf. Find the expected…

A: A continuous function f(x) is said to be the probability density function of the continuous random…

Q: Riemann sum for f(x) = 2" on the interval [1, 3].

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Q: study of a particular disease case is carried out to treat the atient appropriately. If X₁,…

A: Solution

Q: ntinuous random variable has the density function x + 1 1<x<5 f(x)=160 0, elsewhere. Find the…

A: solution

Q: derivatives power series

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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.