Explain the formula of centered difference.

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A: We have the initial figure as x2+y2=4

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Q: Proposition 3.42 (Other Properties of Disjoint Union Spaces). Let (Xa)αEA be an indexed family of…

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Q: Problem 5. Determine whether the subspace of R(-1,1) consisting of all differentiable func- tions f:…

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Q: Use the following definitions to express each union or intersection given. You can use roster or set…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT ●コヅシッシ 2*@*!??!!??! ¿¡ !?! Wa - XXX O * Take Aeikx+ Be-ikx &♪…

A: To Show: Aeikx+ Be-ikx = C cos(kx)+ D sin (kx) Now, cos(kx) = (eikx+ e-ikx)/2 sin(kx) = (eikx-…

Q: Find the gradient field of the function. f(x, y, z) = x9e7x + f(x, y, z) = = .y8z7 x² + y² + z² 4 X²

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Q: Statement. Let G be a connected graph. G is bipartite if and only if x(G) = 2. (a) We will first…

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Q: Separate variables and use partial fractions to solve the initial value problem. Use either the…

A: Given : dxdt=3x8-x , x0=15 To find : x(t) Also find : graph of solution.

Q: Once you've shaded the appropriate side of each graphed line, how can you tell if a feasible region…

A: Feasible region is the region where solution exists .

Q: the following equations..... -x 3 Ay++) y =é 4 x dy + (x² 3y).d.x=a.. ********

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Q: The following “Theorem” is obviously not true. Explain what’s wrong with the proof. Theorem: 1 is…

A: Given Data: Given Theorem is : 1 is the largest natural number. This theorem is not true. We have to…

Q: find the FT of g(t) = sin wot

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Q: H.w: Use the bisection method to determine the drag coefficient c needed for a parachutist of mass m…

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Q: Suppose z = x + iy and let f(z) = and find f'(z). Y x² + y² i X x² + y² Determine the region where…

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Q: Question 2) Let L={ a¹ b³ | i, j≥0 and i>j }. Is L regular? Prove your answer. Show all your work.

A: Let a is replaced as 0 and b is replaced as 1.

Q: The function Þ(x, y) = 2y³ – x²y+3y + x³ + 2x + A, where A is an arbitrary constant, is the integral…

A: Ans - The given statement is TRUE

Q: Let f(x) = ln x. (a) Construct the Lagrange polynomial for f passing through the points (1, In 1),…

A: Taking the value upto 5 decimal places.

Q: Exercise 1. 1) Suppose the topological space X is the union of the finite family F₁,..., Fm of…

A: We use the fact that inverse of a continuous function maps an open (closed) set to an open (closed)…

Q: Define the term Coefficient matrix.

A: Define the term Coefficient matrix.

Q: If you start working with a savings account with a $.25 in it and your boss double it each day for 3…

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Q: Using De Morgan's Laws, show that AnBnC=AUBUČ

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Q: What 3 by 3 matrix E21 subtracts 4 times row 1 from row 2? What matrix P32 exchanges row 2 and row…

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Q: Shift @ C₁ and Ca are constants 1 For the DE y lay²+ 35 y = cosx a) the complementary function is Y₁…

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Q: Using Simple Fixed Point, determine x3if initial guesses x1=15  (309)· 106 = 0.9 · 0.85 · 24 · A ·…

A: The function: f(x)=0 is rewritten in the form of x=g(x) in the fixed point iteration method.  It is…

Q: Solve using Laplace Transform y" - 2y + 2y = et; y(0) = 1, y'(0) = 1 O y = (1/5) (e^-t + 4e^-tcost +…

A: We have to solve given problems:

Q: Trapezoid - One of the legs: h = 2cm perpendicular to bases: b = 3cm and B where b is the shorter…

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Q: Find the absolute maximum and minimum value of f(x, y) = x² + y² - xy = 5x - 5y on the region…

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Q: A population P, in millions, at a given time + years years, satisfies the differential equation dp…

A: For a differential equation of the form: y'=f(x, y), the Runge-Kutta 4 method uses the following…

Q: Fill in the blank. (Enter your answer in terms of t.) 1 x^²}{= {}-[ (s - 9)6

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Q: (9) Let G be a group. Let N be a normal subgroup of G and let H be any subgroup of G. Prove that NnH…

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Q: Find the f(t) = 4 + -4t cos 39 t transform of the given function by use of a table.

A: Using tables the answer found is E.

Q: Evaluate the integral for f (x, y) = 2 x +9y over the area R bounded by x = 0, x = 2, and y=x²…

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Q: Using Newton-Raphson, determine x2if initial guesses x1=5  Mu = 0.9 x 0.85 x 24 x A x 299 x (499 -…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to…

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Q: Consider the differential equation (DE): y"" - y"+y'-y = (y(4)) 5 a) Its order is 3 b) Its degree is…

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Q: 2+4+6+ + 2n = n(n+1) for all n ≥ 1. In your own words, what is the difference between the principle…

A: (a) Let P(n): 2+4+6+...+2n=n(n+1) . Let n=1. 2.1=1(1+1). So P(1) is true. Let P(k) is true for some…

Q: In the following statement, express the first number as a percentage of the second number A certain…

A: Percentage means 100th part of the whole. It is denoted by %. % can be replaced by 1100.

Q: Use the Laplace Transform to solve the given initial value problem. y(4) - 4y=0; y(0) = 1, y'(0) =…

A: The given initial value problem is y4-4y=0; y0=1, y'0=0, y''0=-2, y'''0=0 We have to find the…

Q: Using Simple Fixed Point, determine x2if initial guesses x1=5 Mu = 0.9 x 0.85 x 24 x A x 299 x…

A: The function: f(x)=0 is rewritten in the form of x=g(x) in the fixed point iteration method.  It is…

Q: Find the convolutions of (²71) with (²1) assuming that the outsides are zeros.

A: Given: Two matrices 2111 and 2110To find: Convolution of given matrices.

Q: 3. (J.).xy? dy where y.(1)......

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Q: Use the integral definition of the Laplace transform: L {f(t)} = Z ∞ 0 f(t)e −st dt formula to show…

A: We know Lyt=∫0∞e-stytdt Let yt be continuous for all t≥0 and be of exponential order  a as t→∞ and…

Q: 1) Find the maximum and minimum of f(x, y) = 16x² + y² subject to the constraint 4x² + y² = 16. Set…

A: 1. Given,            f(x, y)=16x2+y2,   Subject to the constraint,            4x2+y2=16.

Q: Using laws of equivalence of tautological forms, show that ~p^~g~ [pv (~p^q)] Jefentaht dadd a…

A: The main objective is to prove the wff by using laws of equivalence of tautological forms.

Q: Use the "Sequence" characterization of continuity (Theorem 4.3.2 (i) ⇒ (iii)) to prove that the…

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Q: Decide whether the following statement makes sense (or is clearly true) or does not make sense (or…

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Q: Use the following set definitions to specify each set in roster notation. Except where noted,…

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Q: I. Use integrating factors to solve the differential equation y' + y cos x = €³x—sin x II. Determine…

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