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Q: Problem 8 Using the method of variation of parameters, find a particular solution y, of the equation…

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Q: Solve the following system of IVP: -3 1] -2 -1 1 and x(0) 2] 3 x' = Ax where A = 6

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Q: If f(x)= x - 4 and g(x)= Vx-2; which of the following is equal to х — 2 Option 1 – 4(SF 2) X - х — 2…

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Q: Part 4:  Hitting the ball into the parking lot   As Juan continued his hitting practice, one of the…

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Q: Find the exponential generating function F(x) for the numbers fn of forests on vertex set [n] having…

A: Given below clear explanation

Q: -3 -2 -1 1. -8642 -2 3 * 6 4 2 0 2 46 8 10 2 2- -8-6 -4 -2 8 4 2 -2 4 -6 5 Determine whether these…

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Q: sin(20) = 6 cos(20) a) Find all solutions of the equation. 9 = 0.703+rtk2 b) Find the solutions in…

A: The given equation is sin2θ=6cos2θ. The trigonometry formula is sinθcosθ=tanθ. The value of tan-16…

Q: The series E-, an is convergente then the series E(a,)³ is also convergente k=1 Select one: O True O…

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Q: ) The accumulated value of one at time t (where 0<t < 1) is given by a second degree polynomial in…

A: It is given that the accumulated value of one at time t where 0≤t≤1 is given by the second degree…

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 10 cos(t)i+11…

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Q: (0,1). Prove the following functions is uniformly continuous on sin x f(x) =

A: Uniformly Continuous:-  Here we prove the result using a theorem of uniformly continuous.

Q: Let function f: N →N be defined on the non-negative integers by if n = 0 f(n) = {f(n – 1)+ 5 (…

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Q: C. VARIATION OF PARAMETERS 2. (D² – 3D + 2)y 1 1+e-x

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Q: Use the Jacobi method to find approximate solutions to xi + 6x2 – 8x3 = -6.6 10a - 3r2+ 6x3 = 8.6 *1…

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Q: Identify and sketch the graph of

A: Given,        z=1-lny

Q: t(x, y) x² + y?

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Q: dz (b) by using the Chain rule with the following information: ds Determine the z = cos (x"y^) – sin…

A: We have to find dz/ds using chain rule of differentiation.

Q: у" + 4y' %3 сos(t - 3) + 4t, У (3) %3D 0, у' (3) 7

A: The given initial value problem is…

Q: 16. Integrate f(x, y, z) = x + Vy – z? over the path from (0, 0, 0) to (1, 1, 1) (see accompanying…

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Q: 1. Let f be a function satisfying the following properties: continuous on R\ {1} f(0) = 0 and f(3) =…

A: Given: A function f satisfying the following properties: continuous on ℝ∖1 f0=0 and f3=7…

Q: (1) Determine whether or not the function u(t) = sin(2t) + cos(2t) is a solution to the differential…

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Q: Show that you can arrange n copies of all 3" ternary strings so that two consecutive strings differ…

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Q: (a) Graph G, Graph G2 (b) Graph H, Graph H2 Figure 7-58 Graphs for Exercise 1. 2. Explain why graphs…

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Q: Starting with the initial values (1, 1, 1), solve the following system of equations by the…

A: Given the system of equations  x12-x22+x32=11x1x2+x22-3x3=3x1-x1x3+x2x3=6

Q: An engineer who accidentally inhaled poisonous fumes was given treatment for it. The concentration…

A: Let us determine after how many days the engineer will join work with the help of the information…

Q: dz (b) Determine the by using the Chain rule with the following information: ds z = cos (rªy^) – sin…

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Q: (c) Determine whether the following function continuous at point (0, 0). Justify your answer. 2–xy…

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Q: Let F be a field and letIc F[X] be the subset of the polynomials for which -1 is a root of…

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Q: 2 Suppase G is an abeli Group of Order 6 Contauining an element' of order 3. Prove G is Cyclic. 2…

A: 1)  Let , G  be an abelian group of order 6. Consider , a ∈ G  of order 3. By definition order of an…

Q: 3 calculator so if you are able to answe

A: Introduction: A function is an expression, rule, or law in mathematics that defines a relationship…

Q: Write MATLAB commands to solve the following equations. x = 4 cos 30° + VT0 sin? 30° b. y = In 10 +…

A: x=4cos(300)+10sin2(300) y=ln(10)+30sin(250)

Q: Show that for any integer n , n2 – 2 is not divisible by 3.

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Q: x2n+1 E (-1)"; (2n + 1)! 263 S5 315 when x = 1. What is an interval, |S – Ss| < |Rs| for which The…

A: This is a problem of alternating series

Q: Evaluate a ds, where C is the parabola i = (3t, 3t2), for – 1 <t < 1. Answer exactly or round to 2…

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Q: The set of North-East lattice paths start from (0,0), end at (n-k, n+k), and they do not go below…

A: Given below clear explanation

Q: Show that 1+3/ -5 is irreducible which is not prime in ZlV-5]

A: We know that ,  ℤ-5 = a + b-5 / a , b ∈ ℤ We need to show that , 1 + 3-5  is irreducible but not…

Q: 1: Evaluate F dS whereF = (r',, ) and S is the solid bounded by the ry plane and the elliptic…

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Q: Find all solutions of quadratic congruence x^2+85x+2=0(mod401)

A: We follow the method of completing the squares of the equation x^2+85x+2. Note that 85 is odd so we…

Q: 216 X(s) s4+5s3+15s2+45s+54

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Q: f(x, y) dy dx y 2.0 1.5 8 10 1.0 4 0.5 6. 2 3 0.5

A: In the given question, the area of integration is applied. Integration Integration is a method of…

Q: The eigenvalues of A will be complex conjugates. Analyze the stability of equilibrium (0,0). Is it a…

A: To find- The eigenvalues of A will be complex conjugates. Analyze the stability of equilibrium 0, 0.…

Q: The integral represents the volume of a solid of revolution. 2n (a) Identify the plane region that…

A: By the method of cylindrical Shells , let f(x) be a continuous function and R be the region bounded…

Q: a) Show that if u, v, and w are differentiable vector functions of t, then d du V X w +u - dt dv dw…

A: According to our guideline we are supposed to answer only one asked question.kindly repost other…

Q: (a) Find the eigenvalues of A. (b) Find two eigenvectors v and w of A with respect of the two…

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Q: 1. Find all the eigenvalues and eigenfunctions of the following Strum Liouville problem (3) 4(ey)' +…

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Q: In Exercises 17-22, write , fdA as an iterated integral the shaded region R. 17. y 18. 2 F 12 1. 3…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Prove the necessary and sufficient conditions for a curve to be a straight line isbthat the…

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Q: What properties of Fourier Transform best describe the equation below? F[f+g] = F[f]+F[g] F [kf] =…

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Q: Find the Eigenvalues and Eigen Functions for the given boundary value problem y" + Ay= 0, y(0)= 0,…

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Q: 2 - y = 3 – z and l4(s) = (1 – 2s, 4s,1+ 2s). 2 3. Consider the lines defined by the equations l3 :…

A: Hint: If l3 and l4 are two lines is said to be parallel if the cross product of a directional…