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

A:

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: Given, x1/2+y1/28 where n=8 total number of terms =8+1=9 middle term =n2+1 82+1=5 5th term is a…

Q: Show that the following method is convergent, and determine it's global order of accuracy. 1 At (Yn…

A:

Q: 1) Find the final value of the sequence {Xk} with Z-transform of F(z)= Mz2-z , where M is any %3D…

A:

Q: 1) Find the dexivative by the limit process. fex> 2X - 3 3X +4

A:

Q: Find the Riemann sum of f(x)=square root of x on [4,9] with 4 subintervals and right endpoints.…

A: To find the Riemann sum using right endpoints

Q: 26) Emd The Toylor Series of de gwou Junchion with the giuen pomt as center bud eteaine the sadius…

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Q: Find the right match for the following ODES in the dropdown menu ý = ysin(r²) + 6 Choose... = tanh(x…

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Q: Let U1, U2, ... be i.i.d. Uni(0, 1) random variables. - log U; is distributed as exp(1). (2) Find…

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Q: Q(4) Find a seel general soluchion of + 16 = 0

A: see below the answer and explanation

Q: Use second-order Taylor approximation to estimate (0.99)2 + (3.01)² – (0.99)(3.01)

A:

Q: Let S(h) denote the composite Simpson's rule approximation of 2 = √² (5x² − 6x² + 4x − 1) da with…

A: Hint: The formula of Simpson's 1/3 rule is, ∫abf(x)dx=h3y0+yn+4y1+y3+y5+...+2y2+y4+y6+... ,h is the…

Q: Assume that after w months,butterfiles populace in 1000 is calculated as F(w)=12w+cos(16w)+n×100…

A: Minimum and maximum of a function depends upon all the variables present in the function.

Q: 1. Write the first three and final two summands in the E(2+k) kul Explain why this sum gives the…

A:

Q: 10. It has been lo ponents produced in a certain factory are de hundred is drawn from each day's…

A: A random sample of size one hundred is drawn; n=100 1% of electronic components are defective;…

Q: The series 2" (n!)2 n=1 is divergent. Select one: True False

A: The given series is a 2n/(n!) 2. Repost the next question.

Q: If o an is convergente then o nan is divergente Select one: O True O False

A:

Q: 3, Re call Eudlid's proof of In finitude * primes! Shouw that T Cx): = 1{ ps X: p-pinae }12 logz…

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Q: Adobe Scan Mar 10, 2021.pdf Page 2 of 5 Q Search Fnd for the tellenwing funtions. Sím 3x D y = y =…

A: on solving ist qestion we get

Q: Find the unique continuous solution on (0, 3] for the following IVP:

A: In this question, we find the solution of the differential equation y'+p(t)y=etwithy(0)=-1and…

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: Limit n---infinity for the function nln((1-(3/5n))/4 using L'Hopitals

A: Evaluate the given function  as follows.

Q: tet P for2]R be defineal by fex)= Showthat fRiemann integable on fa

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Q: Use the Limit Comparison Test to determin 8" + 1 n = 1 9n + 1 g"+1 lim =L> 0 n-- O converges

A: Given series is ∑n=1∞ 8n+19n+1 find whether the series is convergent or divergent

Q: Write the definite integral for the Riemann sum: 2 (5 + 2)* + (5+ x 2)* + (5 + × 3)*+...+(5 + x n)"|…

A:

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

A:

Q: Find the Riemann sum of f(x)3Vx on [4,9] with 4 subintervals and right endpoints. Round to the…

A:

Q: xy'=y+x     expand on x =1   (power series)

A:

Q: dx Determine if the improper interal S, xc Fnd it valne if it converges. Conneeges on diree jes.…

A:

Q: Show that the following method is convergent, and determine it's global order of accuracy. 1 At Yn+1…

A:

Q: If 0 ≤ an ≤ bn and bn diverges, then an diverges. Select one: O True O False

A: This question is related to series and sequence, we will solve it using given information.

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

A:

Q: of Eca 4 is cenvengend can we conclude that cach of these are convergent: (b) E cn (-4)^ ca)

A: Given that ∑n=0∞Cn4n is convergent.

Q: Determine maximum error between 0.9 ≤ ? ≤ 1.1 interval for second degree Taylor expansion of ?(?) =…

A: find error

Q: -3 Vennty that A 3. 2. Varities Caley tHownilton theorem

A: We have to solve given problem:

Q: 2 For n=1 a) Verify that that lin b₁=0. 7380 b) Compute Sy. <) Find an d) How малу Must be added Sum…

A: This is a multipart question having three or more interrelated subparts. As per the company policy,…

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

A:

Q: The volume of a section in a thread is given by=V = 4Sinx(1 + Cosx). What is the value of x that…

A:

Q: 5. Use Watson's lemma to obtain the first two terms in the asymptotic expansion as x → o of the…

A: Like a function, an integral can also be expanded in its asymptotic series. The conception of this…

Q: Establish the 1dentity COSLIT-e)=- čos O Write down the Sequence of Steps that verify iolentity the

A: Given- cosπ-θ=cosθ To Find- The sequence of the steps that verify the above identity. Identity Used-…

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

A:

Q: 8= From Orelinay Differeulial eguaton of following by Eliminaking the y==x(aCos 2x + bSin2x)

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Q: chooes led R- to ) and P= then OR convergentan P divergent O both Rand Par convergent O R…

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Q: 4n2 Tantel show whether (an )Cconverge diverge or

A: Given : The given series is :  ∑n=1∞un= ∑n=1∞4n29n4+1. To find : We have to find whether the given…

Q: 2. If L, and S, is its n-th partial sum, find: 3 (a) lim cos(an) (b) lim S

A:

Q: X 6STK +5inTkt メエ O/ himit funetion fovel At X-) be s- メ<1 メ-1 @existing and evennes @ e xisting and…

A: Limit problem....

Q: メー) whatis theradius h.gh of convergense f the power senes) 9.3 b. 2

A: ∑n=1∞(x-1)nn.3nwe have to find radius of convergence of the power series

Q: of fox) using the C) Calculate the derivotive chain rule. fex)-(2-3x)

A:

Q: Prove this equa tion analy tic fcz)z Ln /21+iargz Ln 12|+iarg

A: Equation proving in analytical way