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Q: How to prove {sin(n)} is a bounded seuqence that does not converge?

A: To prove xn=sinn is bounded. By definition, a sequence xn is bounded if it is both bounded above and…

Q: Determine the convergence or divergence of serie sin Σ 6n2 n +4 n=1

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Q: Consider the function f(x)=1/x Show that the interval of convergence is (0, 2).

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Q: Using Simpson's method √x³dx for n = 4 is equal to 4.00 (use 2 decimal places with proper rounding…

A: Given,  ∫02x3dx, n=4

Q: The interval [1, 5] is divided into eight subintervals. (a) What is the left endpoint of the last…

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Q: Find the radius of convergeune ļ interal of convergence : (a) (x-z)" n=0 (b) そ1 n.g"

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Q: a base ball aiamond is a savarve with sides Of length aoft A batter hits the ball and vuns Foward…

A: a)  Let x = distance batter has run at time t            D = Distance from second base to the batter…

Q: Use the Golden Section Search to find max-x2 – 1 s.t.-1<x<0.75 with the final interval of…

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Q: 1. De termime if each of the followmg mproper mtegrals converge or diverge. IH it converges, to…

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Q: Find the radius and interval of convergence (Зх — 2)" Vn4. 2n - n=1

A: ∑n=1∞(-1)n(3x-2)nn43.2n

Q: Express S* dx as a limit of the Riemann Sums taking sample points to be right endpoints.

A: Here we will use the general formula for Reimann sum calculation by taking right hand side sampling…

Q: Find the lower bound for the radius of convergence for (x2 + 6x+ 10)y′′+ (x2 −4)y′+ x2y= 0 about x0…

A: Since given point x0 is an ordinary point of the given equation obtain the singular points and thr…

Q: Decide whether the following proposition is true or false. Provide a justification for your answer:…

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Q: The radius of convergence of about Xo=o (1-メ)

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Q: 8. Use Simpsons' rule to numerically integrate for the n = 6, case f (x) = x on the unit interval,…

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Q: 1. brove 1 prove that the inter val of convergence of the that the inter ual 2an +1 (nti)Sn or seri…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Find the interval and the radins of r Convergence (-1)" (x-4)" (nt1)? れ=O

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Q: (x-1)" 4n.5n n=1

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Q: arctan(2) = 1t Calculate arctan(5.5) approximately by using Trapezoidal Rule and Simpson's Rule by…

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Q: f fn → ƒ uniformly and the functions fn have only jump discon- sinuities, prove that f has only jump…

A: Here we use epsilon delta proof

Q: Prove that sina de converges but not absolutely for 0 < p < 1. XP

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Q: For golden section method and newton's method ,how far away from a minimum can be tested if without…

A: Given: Here, How far away from a minimum may be tested using the golden section method and Newton's…

Q: 3)suppose fle) isadifferentialile funehou on the intervall E-7,1J Such that l-7) =4 and f6)=1.…

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Q: х Zn=0 п! x2n Ση-0

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Q: Determine the interval of convergence and radius of convergence of the given power scrics (r–1)" n=1

A: The given power series is: ∑n=1∞(x-1)nn2n We have to find the radius of convergence and interval of…

Q: Find the Riemann sum for f(x) = x + x², –2 < x< 0, if the partition points are -2, – 1.5, –1, -0.7,…

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Q: 4 A function fx) = 1- x² + xr is defined in the closed interval [-1, 1]. The value of x in i onen…

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Q: Let f(r) = 15x + 6a? – . Can Golden Ratio search method be used to find a local minimum of f…

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Q: Use the Ratio Test to prove convergence or divergence: 2n+2 (n+2! (n+2). n=1

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Q: 3. Show that the ratio test is inconclusive, but use either the integral or a comparison test to…

A: Given the series:

Q: 1 vaniable, and assume that the p are transmitted, what is the proba ation and suggest an accurate…

A: Given : p = 10^-3 = 0.001 n = 10^4 = 10000 The number of bits received in error can be modeled by a…

Q: 8. Use Simpsons' rule to numerically integrate for the n = 6, case f(x) = x on the unit interval,…

A:

Q: 1 Test the convergence of fsin x dx.

A: To check convergence of given integral use comparison test of integrals. Comparison test: For two…

Q: sample of size n from N CO, a2) Then show That * Ex;2 is an Theorem- a X, - - be a yandom unbaised…

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Q: If the Midpoint Rule is used on the interval [-1, 11] with n = 3 subintervals, at what x-coordinates…

A: Consider the interval a,b=-1,11n=3. The length of interval, ∆x=11+13=4 Class intervals…

Q: The radius of convergence (2n + 3)! (x- 1)" is | None of these infinity

A: Given ∑n=0∞(2n+3)! (x-1)n Compare it with ∑n=0∞ an(x-x0)n Then an = (2n+3)!an+1 = (2(n+1)+3)! =…

Q: Let S be the sum of the two faces when a fair die is rolled twice. Work out the moment generating…

A: Solution

Q: Expand the function using Maclurin series expansion. f (x) 2 arctan y

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Q: Q- If trignometic [-A,7], then it is sexies. sexies converges. uniformly on fourier

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Q: The interval of convergence of (-b)" x"*1 where b > 0; is n+1

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Q: Use the Root Test to prove convergence or divergence: • (n!)* 2n n=0

A: We have to prove convergence or divergence of given series by root test.

Q: If the Midpoint Rule is used on the interval [- 3,27] with n = 3 subintervals, at what x-coordinates…

A: given  Interval [-3,27] and n = 3,  the number of sub intervals. To find at what x-coordinate at…

Q: If the Trapezoid Rule is used on the interval [-1, 9] with n = 5 subintervals, at what x-coordinates…

A: Let f(x) be continuous on [a, b] into n equal subinterval each of width, ∆x=b-an

Q: Find the interval of convergence ofS f(x) dx where f (x) = (-1)+(x-6)" %3D E

A: Given problem is :

Q: Q2). Consider the function f(x)=sin(x) on the interval [0,1]. Use theorem (Error Bounds for Lagrange…

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Q: IF F(X)=2x^2-2x on(-4,2) find the riemann sum with n=3 subintervals taking the sample points to be…

A: Given function is  We will divide the interval [-4,2] into 3 subintervals , the length of each…

Q: use ratio test to determine conergence or divergence in sum of n= 1 to infinity =…

A: We will use of ratio test to check the convergence of the series

Q: The average number of customers at a windów of a certain bank per minute during banking hours is…

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Q: Find the pointwise limit f(x) for {nxe-nx} for x ∈ (0, +inf)). Does the sequence converge uniformly…

A: Given, fx=nxe-nx , x∈0,∞ Since, limn→∞fx=0 , ∀x x=0, fx=0 and e-nx→0 as n→∞ Let, fx converges…

Q: Find the interval of convergence of Ln=1 (r-1)" 2n

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.