Let k: [-1,1] – R be the function k(x) = sin(x). Show that one has |k(x) – k(y)| < 2|x – y|, for all x, y € (-1,1).

Q: Solve the differential equation below using series methods. (- 82? – 4)y'" – 8xy = 0, y(0) = – 7,…

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Q: i = -1+ y³ – y* ý = -I - y+ 2ry (1) (2) Find a Lyapunov Function Candidate of the form V = xª + dyP,…

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Q: Find the root of x3−2x +14=0, correct to 3 decimal places using the Newton-Raphson method.

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Q: Which of the following is a not number theoretic function? (a) (b) (c) (d) greatest integer function…

A: We have to check that in the given option, which is a not number theoretic function.  Note:- In…

Q: Prove that matrix Y is obtained from matrix X. Identify the property of determinants and prove |Y| =…

A: 2. Given  Y=4-984261-25 X=1-3-74261-25 We will prove that matrix Y is obtained from matrix X.

Q: Let S be the upper half of the unit sphere x +y +=1 and take n as the upper unit normal. Use Stokes'…

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Q: Convert the Partial Diff equation to canonical form and find the general solution a²u a?u a?u +2…

A: Sol

Q: (In3+j5)5 sech(5.5430°) TT tanh ja V[ej – j213 ji]4 ¡213

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Q: e3+j4(3+ j4)5 log ji' sin(3 + j4) j2022

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Q: Convert the given IVP to a first order IVP with a vector-valued dependent variable. B. Solve the IVP…

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Q: Classify the quadratic form below. Then make a change of variable, x= Py, that transforms the…

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Q: Let In, f be real fun ction on 52.Show {w : fu(w) yo frw) }=Ŭ o U {w-1fu(w) %3D f(w)1>と3

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Q: er the ideals I = (x, y²) and J = (x- 2y) in Qlr, y)- %3D %3D

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: Consider the Cobb-Douglas function n f (X1,x2,..,xn) = x. i=1 where x; > 0, and a; > 0 for all i=…

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Q: 4.2 Consider an image with spatial resolution of 1920 by 1080 and intensity resolution of 256. You…

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Q: H.W: Estimate the root of the equation for the following equation using Secant Method: 1. x3-5x = 3…

A: We can have this using secant method

Q: Given A E Mmxn(F). Prove that (LA)* = LAt.

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Q: Problem Consider the following optimization problem: min f(x, y) = 3x? + y* x,y (a). Apply one…

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Q: 1. Consider the curve C with parametric equations Sz(t) = t3 – 3t +1 ly(t) = t(t + 1) %3D defined…

A: Horizontal Tangent for Parametric Equations dydt=0, provided dxdt≠0 Vertical tangents will occur…

Q: what is the Hall's Matchings condition And give examples

A: Given: We have given name of condition, that is, Halls matching. We need to tell that what is Halls…

Q: Consider the system i1 = x – 2.x1x2 and i2 = –x2+ xỉ %3D a. Find the first few terms in the power…

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Q: Let ø: Z25 → S8 be a homomorphism such that o(1) = (12468). (a) Find ø(22). (b) Determine kerø. (c)…

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Q: 3 12 0. 1 2. 3 Suppose that the CTMC models an M/M/1/3 queue. What are u2 and u3? (a) µ2 = 2, µ3 =…

A: Sol

Q: 0) Use divergence theorem to evaluate the outward flux of the vector field F(x, y, z) = r³i+y°j+zk…

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Q: Consider the Cobb-Douglas function f (x1,x2,..,Xn) = x"x i=1 where x; > 0, and a; > 0 for all…

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Q: Every Boolean algebra (B, tiplication by the formulas a +b- (a A b') V (a' A b), a b a Ab, be B

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Q: if you can answer parts with correct explanatio

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Q: Write the Taylor polynomial T5(x), for the function f(x)=cos(x)f(x)=cos(x) centered at x=0. T5(x)= ?…

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Q: 2.55 Let P denote the set of all functions f on [0, 1] such that f(x) > 0 for all x € (0, 1]. Is P a…

A: P is not a vector space.

Q: 10. Let ø: Q(V2) → Q(v2) be the map given by ø(a+bv2) = a-bv2. Show that o is a Q-linear field…

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Q: (1) (a) Use a double integral to find the volume of the solid that is bounded above by the plane z =…

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Q: What is the volume of the solid formed by revolving the region bounded by 4y = and 4x = y about the…

A: The given curves are 4y=x2 and 4x=y2.

Q: The volume of the solid bounded by z = 0, x + y+ z = 4 and x? + y? = 4 in cylindrical coordinates is…

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Q: 4. Let A = |2 5 2 2 (a) Find the projection matrix P for R(A). (b) Let b = |9. Find the least…

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Q: alculate the value of cos(50° 30') with accuracy ɛ = 10-6

A: Here we have to find the value of cos(50°30')

Q: Q2\ Discrete system has unit sample response h(k), for which the z-transform 1+z-1 H(z) : 1 (1…

A: Sol

Q: Stock in Company A sells for ​$94 a share and has a​ 3-year average annual return of ​$24 a share.…

A: Given,Derek wants to minimze the risk while investing in two stocks in companies A and B.To find:…

Q: 1. Use Direct Proof to prove that the product of two consecutive integers is divisible by 2.

A: We have to prove that product of two consecutive integers is divisible by 2.

Q: 5. Find the canonical prime factorization and solve for No. of positive divisor and sum of positive…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: From the graph we can see the curves are y=1x,x=2 and 12≤y≤2

Q: Assume aggregating the inventory in a single warehouse increases the by $45,000. If a CSL of 95% is…

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Q: A ship is following a course that is 104 miles from and parallel to a straight coastline. The ship…

A: Given: Let A represent the location of origin. As a result, its coordinate is (0,0). Because the…

Q: 4 + 10 + 18 + . . . . . + n (n + 3) =  [n (n + 1) (n +5)] / 3  for n ϵ Z+       (Use Mathematical…

A: The solution is given as

Q: 2.66 Let fn(x) = z for all r E R. a) Find the pointwise limit of fn. b) Does f converge uniformly on…

A: Convergence and uniform convergence of the sequence

Q: Three equations are given below for 2 unknowns. Find the approximate solution for the vector x. w ww…

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Q: If dx and dx 2 , then the graph of y will have: A a local minimum at B a local maximum at x= 0 and a…

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Q: what is the spanning fuzzy subgraph ? And give examples

A: Given : Spanning of fuzzy graph is mentioned in given example. We need to tell that what if fuzzy…

Q: Approximate the integral using Taylor series method: xsin?x dx

A: We have to approximate given integral by Taylor series.

Q: 1 -3 8. Let vi = and v3 = be given vectors in R4. Which of the following vectors is -2 V2 = a linear…

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