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

Q: Derven g(x) = (a of the ax (4-x) 0≤x44 -2x -8≤X 20 value of g(x) is O average Find the value of

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Q: A single-input, single-output system has the state variable representation a. O b. O C. O d. T(S)…

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Q: For j=4, solve for the f(w, 8), and for any given initial values (ONLY assumed by you) using the…

A: Given: The function fω, δ=e-jωδ-δ3 is given. To find: The value of fω,δ at j=4 by bisection method.…

Q: 1. The von Bertalanffy equation is defined by the Ordinary Differential Equations as follows: W' (t)…

A: Given: The differential equation is W't=αWtλ−βWt. The given initial condition is W=100 at t=0. To…

Q: -2 b) Sketch f'(x) on the same set of axes. -1.5 -0.5 1.5 0.5 -0.5 -1.5 0.5 c) Use the graph to…

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

Q: Use a graphing utility to graph the function. f(x) = √92²-6 7x+7 O -6 + 2 + 2 Find the equations of…

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Q: A warehouse tracks inventory using stock codes consisting of a sequence of 5 uppercase letters…

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Q: Apply Taylor's series method of order p to the problem y'=y, y(0)=1 with h=0.1 and p=3.

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Q: Assume that P and Q are two positive distinct real roots of the quadratic equation (²₂. - -…

A: given quadratic equation t2-P+Qt+PQ=0 here assume that P and Q are two positive distinct roots of…

Q: Suppose B and D are the following two bases for P2: B=|4x²-4x-2, ²-4x−2, 3x²-x, −3x−3] D= [-3x−3,…

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Q: Find an eigenvector corresponding to the eigenvalue 4 (2238 28). 22 -24 18-20 of the matrix The…

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Q: - A non-empty set E in R is connected if and only if it is an interval

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Q: Evaluate fx" In x dx for n ‡ −1. Which method should be used .-1 to evaluate fx-¹ In x dx?

A: We have ∫xnlnx dx   , n≠-1 Integration by parts is ∫fg dx=f∫g dx-∫ddxf∫gdx dx Using integration by…

Q: What vertices are on each level in this graph, if we take s = 2?

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Q: Q1: (a) Find orthonormal basis for the subspace W of vector space Rª [a b] b-c c - a b consisting of…

A: Given that the subspace W of vector space R4 consisting of all vectors of the form…

Q: In In = (a) Prove the reduction formulae 1 -- sinn-1 x cos x + n (HINT: Use integration by parts…

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Q: 3. The graph below represents f(x). a) State the number of stationary points end label them…

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

Q: Use a comparsion test to determine whether the following series converges or 2" sin²(5n) 4" + cos² n…

A: Given series is ∑n=1∞2nsin25n4n + cos2n

Q: ind the Laplace transform of the periodic function f(t) = 50=[²₁ 1 for 0<t<2 for 2<t<4

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Q: Apply Euler method and Richardson extrapolation for the problem: y' = ty h = 0.2, 0.1 y(0)=1 9₂. and…

A: Given :  y' =ty     h=0.2 , 0.1   y(0)=1 To Find : y1 and y2 by Euler  method and Richardson…

Q: A second-order recurrence sequence is defined by the system: uo = 1, u₁ Find the closed form for the…

A: A second-order recurrence sequence is defined by the system: u0=1,   u1=-4,   un=7 un-1-10 un-2…

Q: The mapping $ (y) = fy' : H→H* defined by is not a linear m

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Q: Find the standard matrix of the linear operator M: R2 R2 that first reflects every vector about the…

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Q: 1. Let G₁ and G₂ be two groups, with identities e₁ and e2, respectively. Let G = G₁ x G2 and let H…

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Q: Answer is incorrect.

A: Fx,y,z=xi^+yj^+zk^ S: x2+y2+z2=49 solution flux =∫∫∫divF dV divF=∂∂xx+∂∂yy+∂∂zz        =1+1+1…

Q: the number of days the Company should operate each refinery operate in order to meet the terms of…

A: Let x and y represent the number of days for refinery A and B then x, y≥0. Given information…

Q: Let X be a normed linear space and T: X→ X and S: X → X be two bounded linear operators, then SoT…

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Q: 22. A surface has an equation of z² + 2x² + 3y² = 4. Through Stoke's Theorem, evaluate the surface…

A: Given : F=xi+yj+x+y2k             z2+2x2+3y2=4 To Find : Surface integral

Q: . Given the differential equation: 3x² cos y dx - sin xdy + 2xdx = y cos x dx + 2x³y sin y'dy, y(0)…

A: Given: The differential equation is 3x2cosy2dx-sinxdy+2xdx=ycosxdx+2x3ysiny2dy. The given step size…

Q: 9. Determine y at t=0.2 (0.2) 0.8 by the fourth order Runge-Kutta method, given that y' 1 t+y'…

A: To find- Determine y at t = 0.2 0.2 0.8 by the fourth order Runge-Kutta method, given that y' = 1t +…

Q: Let R be a ring and S be a subring of R with OS, OR being the zero elements in S, R respectively.…

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Q: Given T→(π)=⟨0,−4/5,3/5⟩ , find an original v→(t) function that looks like a circular spiral or…

A: Given, Tπ=0,-45,35 The original spiral function is to be determined.

Q: Question: What does the following quantity represent? S²(1 – r²) A: The proportion of the variation…

A: Given: Quantity : Sy2(1-r2)To find: What does the above quantity represent?

Q: Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). √ √ 4(x +…

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Q: Problem 2.8.4. Let k be a fixed positive integer. Let an be the integer an an (mod k) for an EZ. 1.…

A: Given :  Let k be a fixed positive integer  and  a¯n ≡ an mod k  for  an ∈ ℤ To prove : (1) ϕ : ℤx →…

Q: Consider the system of differential equations dz dt x(t) = y(t) = dy dt -5y Convert this system to a…

A: We have : dxdt=-5y                            ...(1)dydt=-5x                            ...(2)…

Q: What is the x value of the high or low point of the parabola f(x) = x^2 + 1?

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Q: - Solve the differential equation 2x(2x − 1)2 = (x + 1) + y = 0 using - dx method of Frobenius.

A: To solve differential equation:  2x2x-1dy2dx2-x+1dydx+y=0 using the method of Frobenius.

Q: n A ramp function is given: f(t) 5t-3, t>0 t<0 10, Sketch: f(1-2)

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

Q: What vertices are on each level in this graph, if we take s = 2?

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Q: 24U₂ Use linearization (either with the Jacobian matrix or a change of variables defined by a…

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Q: . If you were to graph two quadratic functions on the same xy-plane, how many intersection points…

A: Given: Two quadratic equation. The given demand function is fx=0.02x-1002 and the given supply…

Q: d (n, m): = 0 si n = m si n‡m 5-c(n-m)

A: Question seems wrong

Q: Salve the fal fellanding problem by a two-step method: choose 2 .t y' = y(0) = 1 any single-step…

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Q: Consider the system defined by: O a. O b. ن 8-618-00 2 0x₂ 3 The characteristic equation can be…

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Q: What is the characteristic equation of the matrix (10 5) ² ? 3 (Give the characteristic equation in…

A: Characteristics equation of the matrix

Q: 1 ۷۸ ند -2183.71

A: Given: 1λ=-2 log ε3.71 To find: Value of λ

Q: In the general equation f(x)=asin [k(x-d)] +c the equation of the axis of the curve is determined by…

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Q: b) Use Algorithm 2.24 to solve the system of linear equations (90-0 1 10 = 3 1 1 1 10 6

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Q: 2- If L(x, y) = ax + by2 is a Lyapunov function at the origin for the system * = y + x³, y = -x +…

A: According to guidelines we have to solve only one question.