Q1. Derive the following formula for approximating the derivative f' and show that it is O(h) by establishing their error terms: f'(x)= -(-f(x+2h) +8f(x+h)-8f(x-h) + f(x-2h)). 1 12h

Q: 53. let F: RR f(x₁) + f(x2) 2 F(x) f be a function satisfying f (x₁+xz) = 2 Prove That x₁ t... txn n…

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Q: ln p= a + b/t + cln(t) + dt^2 Is this equation linear or non linear

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Q: 2. Solve the following assignment problem shown in Table using Hungarian method. Your salespeople…

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Q: 3. Let R be the region bounded by the curves C₁ : y − 3 = −2(x − 1)², C₂ : x + y = 4, and C3 : y =…

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Q: Let & € N. Prove by using the contra-positive that if ³ is odd then is odd. Proof: Choose which of…

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Q: Q.No.3. If 20 men make 14 tables in 10 hours. How long will it take 12 men to make 40 tables? Q. No.…

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Q: a. Calculate the mean and median for these data. Are these values of the mean and the median sample…

A: mean =(sum of term )÷(number of term) Median  = value which is situated in the middle of the series.…

Q: 12. asta Menu tem teak T almo any, should be adjusted or removed. Number Menu Sold hicke aesar 1…

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Q: Q3. Find the Fourier series for the function: f(x)=[x² for π² 1 6+ + + +... 6 1² 2² 3² = 0<x<27]…

A: Introduction: When a function is periodic, it must have an infinite series representation. This…

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Q: Find the domain and range of the given functions below. 1. f(x) = 4x² 2. f(x) = -√√x +3 3. f(x)=x²-5

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

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Q: B1. SOLVE STEP BY STEP IN DIGITAL FORMAT Differentiate the following function and name each property…

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Q: 6. Given the final tableau (after deleting the columns of the artificial variables) for phase 1 of…

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Q: Solve the following limits including the complete procedure and the result for each of them, IN…

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Q: minimize subject to (xyz)-¹ x + 2y + 2z ≤ 72 x, y, z 20

A: Since you have posted multiple questions, we will solve only the first question for you.

Q: Use zero-through second order Taylor series expansions to predict f(x/5) for f(x)=2sin(x)-cos(x)…

A: Note:- Taylor series for a function fx about x=a is Tnx =fa + f'a x-a + f''ax-a22!+......+fnax-ann!…

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Q: 8. one. (a) Determine whether the mapping f:Q-Q defined by mm² f( )= Vm, nez, n=0 is well defined…

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Q: (c) Find an n such that P₂ is isomorphic to Rn. (Don't just state the value of n; prove why the…

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Q: In other words, B(n) = Σk-1 S(n, k). Prove the following B(n) = Σ (1) B(i) i=0

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Q: Obtain the Power Series solution of the differential equation y"-3y'+2y = 0.

A: We find the power series solution of the DE  y"-3y'+2y=0 ......(1)

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Q: Test each of and name MIS k +S k=j the following for use. you all tests onvergence

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Q: where the following conditions hold: a and b are either 1 or 2, • p and r are non-zero real numbers…

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Q: Comment on the statement “The decimal expansion of 3/2 ​is terminating'

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Q: 2. (i) Let R = Z, let M be the left R-module Z, and let X be the subset, X = {12, 11,9} CM. Show…

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Q: XP (A y dx + B x dy) + y (Cy dx + D x dy) = 0 where AD-BC # 0. xmyn,

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Prove by induction that 1² +2² +3²+...+ n² n(n + 1)(2n + 1) 6

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Q: Let p ∈ R, and ε > 0. Using The Density theorem, show that B(p, ε) ∩ Q contains at least two…

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Q: Prove that each argumentation below is valid using Natural Deduction: 1. Vx. (T(x) v S(x)) -T (a) :.…

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Q: In a quadratic equation(y=ax^2+bx+c) how does the change in values created in the a,b, and c values…

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Q: Determine the following value: 1. F20 + F30

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Q: Find the sum of the series. Σ (-1) 40x8n n! n = 0

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Q: (b) Find the optimal value of the objective function of the following LP problem by directly solving…

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Q: The following system of equations has a unique solution. ) Write the system as Ax = b ) Perform PLU…

A: Given system is   x1 - x2 =3  x1 +2 x2 + x3   = -32x1 +3 x2 + 2x3 = -5

Q: f: X → Y and g: Y→ V be bijective functions. Show the following: ) gof: X → V is injective. gof: X→V…

A: It is given that f:X→Y and g:Y→V are bijective functions.

Q: assigns each element in the domain to a unique element in the range.

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Q: 47.) al Let n = P₁ P2... 92 the Prime factorization of n That a ak EN that is, ai 20) Positive…

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Q: Investigating Finite Differences in Polynomial Functions Recall that for a linear function, the rate…

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Q: Test each of and 3 W₂ name K KT the following for convergence use. all tests you

A: Let us test the convergence of the series using Ratio Test in the next step.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.