Consider periodic funch'on with pe2 a even f(x) = 2+ēX %3D using tee periodic funchions propechies, calculale f(1.75),

Q: 3/2 3. Estimate (3cos x)dx using five subintervals and right endpoints. Sketch the graph and shade…

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Q: The minimum value of n required to approximate x'in(x) dx by composite Trapezoidal rule with an…

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Q: and has real 2erar. find no necessary and sufficient conditions P(x) dx. 9(x) or convergencer of

A: here we can apply a theorem, which state that Let p(x) and q(x) be polynomials with no common…

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Q: of the number rolled. (i) Write down the moment generating function of X. (ii) Use the moment…

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Q: What must be the measure of ZX in order for ARST to be similar to AxYZ?

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Q: 3 In estimating | cos(5x)dx using Trapezoidal and Simpson's rule with n = 8, we can estimate the…

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Q: 1 Q9: Let f(x) = cosx x + 3 then find all critical points. 2 -

A: A critical number C is a number in the domain of 'f' for which eitherf'c=0 or f'cdoes not exists.…

Q: The maximum value of y = sin x, 0 <= x <= 2p, isand occurs at x =__________ .

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Q: Find the radius of convergence for: (- 1)"x" Vn + 7 TL=1

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Q: Suppose you want to prove that ARST Theorem. If you know that ZR = LX, what else do you need to…

A: In ∆RST  &  ∆XYZ, ∠R≅∠X.

Q: 14. k=1 2k

A: Given query is to test the series using divergence test.

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: on. Find the method of moment estimate for 0

A: Given that sample size n = 4,  Y1 = 0.42, Y2 = 0.1, Y3 = 0.65, Y4 = 0.23

Q: Find the radius of convergence for: Σ (- 1)"2" n=1 Vn+4

A: use the formula for radius of convergence for the

Q: Find the radius of convergence for: (– 1)"z" 00 n=1 Vn + 8

A: Given series is ∑n=1∞-1nxnn+8. We have , 1R=limn→∞an1n=limn→∞an+1an, where R is the radius of…

Q: 19. Give the midpoint approximation of xdx with n = 2.

A: Here, to approximate the given integral ∫04x3dx  using midpoint approximation with n=2. Let, f(x)=x3…

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: A stretched string of length 20 cm is set oscillating by displacing it midpoint from the rest…

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Q: Show that the series n=0 xn cos(nx) x² +n³ + 1 defines a differentiable function g(x) for x in [-1,…

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Q: An object hangs from a string in a stable position and is represented by the function y = 4 sin (3x)…

A: NOTE:Use the form y= asin(bx−c)+d to find the variables used to find the amplitude, period, phase…

Q: 4. Find the length of the arc of f(x) = ÷ (1+ x²)ē between x = 0 and x = 3. %3!

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Q: The moment generating function of X is defined by M(t)=E(etx) صواب İhi

A: True.

Q: Find an upper bound for the Lagrange interpolation error for f(x) sinh(x)+2 cosh(x) over the…

A: Given: fx=sinhx+2coshx, x∈0,2. Interpolation nodes xk=k4, k=0,1,⋯,8. To find:          An upper…

Q: 6. Find the midpoint and trapezoid rule approximations to sin Txdx using n=25 subintervals. 3

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Q: If X; derive the moment-generating function (mgf) of X?. Ν (μ, σ) :

A: Given X~ N(mu, sigma^2) We want to find the mgf of X^2

Q: Compute the point of intersection of the curve sinx and x-1 with the help of Bisection method. Ans.…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: The approximation of the root x* of the function ƒ(x) = x* – 5x³ + 9x + 3 in the interval…

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Q: 2 Q/if the function fc)=ĕ is not Continuous at T where =TIL x<T foint the fourier Scries of fcxeě is…

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Q: Let y = sin (5x). If Ax= Ay~ = error = Find the percentage error - Question Help: Video Submit…

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Q: Determine the GINI Index of Country X whose Lorenz curve is f(x) =;x² +÷x*. If Country Z 3 has a…

A: The Lorenz curve  of country X is f(x)=12x2+12x4. The GINI index  of a certain country with Lorenz…

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: plot Y funetion of as over Hhe Peenge ☺.0l <*< l00.

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Q: 5) Construct a linear approximation of the function f(x ) = lacX+s) about the point x,= 1. Compare…

A: Tangent line approximation or linear approximation is very significant in differential calculus.…

Q: = 5xte 4 and classify them as Find the equilibria of the difference equation t+1 stable or unstable.…

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Q: Chapter 7, Section 7.7, Question 012 Use the inequalities JEM| = ƒ (x) dx 24n2 (b - a) K2 |Er| = f…

A: Given that the integral is ∫0414x+1dx. a) It is required to find the upper bounds on error obtained…

Q: Prove that 2 arcsin (x) = arccos (1-2x2) for XE (0, ) Hint: you may want to differentiate these…

A: We can prove these by two ways . First is by using derivatives of functions. And second by using…

Q: Let C be the shortest path that connects 7 to ni and I = f. (coshz + 1)dz. Then --sinh π+ π(1- )…

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Q: Prove that the arc y = log secx from les (2+ 3

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Q: 2. Consider the function f(x)=sin(x) on the interval [0,1]. Use theorem(3.3) to determine the step…

A: Given function is f(x)=sinx Interval is [0,1] Solution a: For linear interpolation N=1 So…

Q: what is the maximum value of y=sinx, 0 less than or equal to x less than or equal to 2pie, and…

A: Given function  y = sinx on  0≤x≤2π

Q: Find Residues by using Lourent's Series f(²)=3/²2 at Z₂ = FL

A: Given f(z) = zz2 - 1

Q: 4. Letf(x)=x22/5 - 19x². Determine the largest n for which fis n-times continuously differentiable.

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Q: Try to prove the convergence of Newton’s Method

A: The given problem is to prove the convergence of the Newton's method, We have to derive the…

Q: The graph of f(x)=((x+4)^3)/12)+((1)/(x+4)) on the interval[3,6] has arc length of

A: given graph is                                                 f(x)=(x+4)312+1x+4 we have to find…

Q: 5.If the tangent 1ine to the functlen fx)= axt-6x at X=- has the equatfon. y= 3x+2then 6=?

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