Q6) Compute the averoge value of the function, flx) = (7x²+ 3x + 5.3)e* on the interval [3,7]. %3D

Q: Find the length s of the path (3 + 10r,9 + 2r312) over the interval 5 < t < 6.

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Q: Q Find the Probabi litty of finding aclosed patht f m if the probebiltyof Switching onf f •f

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Q: 10. dr S f(æ) dx = Choose...

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Q: sn'x プェ Sec'x-1 from [o, of 2.

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Q: O s/Vn 12

A: The standard error is denoted by SE

Q: → Compare the expected lenglis of C-I and T Foy Mi- Mz: basud on Take d= 0.05 eg. 20 %3D → Assume…

A: Solution: From the given information,

Q: is the b(20,0.1), find approximate value of P(12SXs 14). using the Poisson approximation

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Q: Q2: Using Theorem 3, find f(1) if L(F) equals: 1 28. (s + V2)(s - V3)

A: Given, LF=1s+2s-3 To find the function ft.

Q: 5Find the Orthogonal trajectories of the family of r=aeº

A: Question:- Find the orthogorial trajectories of the family of r=aeθ ?Solution :- We have r=aeθ -(i)…

Q: Amanda has a von Neumann-Morgenstern utility function given by U= VM , where Mis her income. If she…

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Q: liid, find a for 日 If X、,メ。,X Xu are Complete s ff arat statistic for 0 if:-

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: Pn 1995 Hhe moose papulalion n MeaSured to be 1900.TTBa, 1994, Hbe Was, eaSuned agaio to be Uu400.1f…

A: Given query is to find the formula for the function P.

Q: 2. Suppose that X is normally distributed with u =-7 and o2 P(X 2x) = 0.84. 14. Find the value of x…

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Q: Q3: show that: S yi va -y dy =na² where a is a positive constatnt

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Q: Let x~ exp (A) Show that T=s Xi is sufficiency Statistic.

A: Generally we use factorization theorem to obtain the sufficient statistic.

Q: れお! /0 fi23)=4 4 (か) 2,十 F) Eanals it Ofiles)= 12 D Not if tha above

A: Given: Fx,y = x3y2 To find: Fx2,3 We know that Fxx,y is differentiation of Fx,y with respect to x ,…

Q: Evaluate the bound of the error if the Trapezoidal rule applied to S (x)dx . Given that 5 k is…

A: Apply formula of trapezoidal error

Q: p = m(1-dt) for d (buisness)

A: In this question , we can solve for 'd'.

Q: o what does it con s conditionally conv 1. onvergence for at is the radius of approximation of e √2,

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Q: (Superman Versus m ers arrive according uho

A: System 1 Customer arrival rate in a Poisson Process λ Service time  3μ System Capacity…

Q: Suppose that a manufacturer is testing one of its machines to make sure that the machine is…

A: From the provided information, The hypotheses are as follow: H0: µ = 15 Ha: µ &gt; 15 The p value =…

Q: 3. From Eq. (1), deduce that U2n-1 2. U2n 2. %D %3D n 2

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Q: cancer u alcurate 5th on diagnostic test is 9s 2 those who halse A 'cancer cnd on those wno do not

A: Given that, As the test is 95% accurate for both who have cancer and who don’t, therefore the…

Q: Use the linear approximation (1 + x)k = 1+ kx, as specified. Estimate 1.012.

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Q: An efficiency study of the morning shift at a factory (7:00 A.M. to 12:00 noon) indicates that an…

A: First find the output rate by taking derivative of the production Q than again differentiate it and…

Q: 3. Consider the test of Ho: of = 03 against H1: of < o3. Estimate the p-value for the following fo-…

A: Given: Hypothesis is H0:σ12=σ22     Vs     H1:σ12&lt;σ22f0=0.27n1=10n2=8

Q: az Find for z = x²y°e®Y dx

A: The given function z is zx,y=x2y2exy We have to find the partial derivative of z with respect to x.

Q: The value of c of fo-2- in the iterval .D such that rio--E) OA 3 OB. -3 OC 3 O0. 3-

A: c = 3explanation is given in below step

Q: s. To our surprise, 38 of the s o select the response which co cription, which term best descri

A: prospective study : In this kind of study, subjects are studied by researchers before they develop…

Q: (14) Approximate S, x² ex², Using Simpson's rule dp,

A: Simpson's rule is a numerical method used to approximate the definite integral which represents the…

Q: Let z = 6exv , find dz %3D

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Q: S F(s) %3D (s+5)6

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Q: two variables are independent, each with the pmf given in the accompanying table (so X,

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Q: B/let Flx)=[X]-X,x E(-2,2).which valuesof x o E(X) continuaus?

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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: Find the approximate root in 5th iterations of the function f (x) = x³ + 4x2 – 10, xo = 1 10, хо — 1…

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Q: Q4. Find guerel polution of following systens uning either method' of undetermind coefticients or…

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Q: Use Simpson's Rule with n = 4 to evaluate [² (t³ + t) dt

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Q: N 25 )X= 125 SX2 = 650 EY2 = 460 EXY = 508 t was, however, later on discovered at the time of…

A: Given: N=25 ∑X = 125, ∑Y= 100 ∑X2=650 ∑Y2=460 ∑XY=508 Two pairs are taken as (6, 14) and (8,6)…

Q: Use the Midpoint rule to deterine the Intergral for the error Function (erf)(belou) 4caurete to…

A: ∫01e-x2dx here we can take 4 interpolation point so n=4 so h = (1-0)/4 = 0.25 x0=0 x1=0.25 x2=0.5…

Q: Amanda has a von Neumann-Morgenstern utility function given by U VM, where Mis her income. If she…

A:

Q: Use the False Position method to find an approximation to the value of v7 that is accurate up to…

A: False position method formula x2=x0-f(x0)⋅ x1-x0 f(x1)-f(x0)

Q: a) b) Compute E(X|y), Var(X) and Var(Y). Hence, deduce the value of p= Corr(X,Y).

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Q: d) By multiple application of Simpson's 3/8 rule, use step size as 0.02. e) Discuss on your results.

A: Given that, the function is fx=x2+0.4x-0.081+x3. a) The value of the integral by using the…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.