If y=sech (kx") and (

Q: Q/ Find an integating factor for the diff- equ. 2y dx + (3y-2x)dy20? to

A: Conversion of non exact differential equation  to Exact  differential equation,

Q: Re ( Which of the following function is harmonic in the C- {0}: cos . Re (- ez O Re(z²) cos . Im (-…

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Q: Problem 6. Give an example of a metric space (X, d) and a (necessarily infinite) family of open sets…

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Q: Tell me a story about submarines (or, even better, hot air balloons) that you could use to…

A: The given expression is: 3--1 Consider a number line. Assume that a a hot air balloon is on the…

Q: Q1. A unitary matrix is defined by the requirement UtU = 1. a. A unitary matrix can be written as U…

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Q: If f (x, y) = V3+ y³ In (x² + y³)ešin(zy+y*) + x² + 10y.then fz (1,0) = %3D

A: We need to differentiate the given function partially w.r.t x. The given function is: f(x,y)=x3+y33…

Q: Solve the following exercises, you will need to show all your work to receive full credit. Consider…

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Q: Problem 4. Let (X, d) be a metric space, and A, B C X. (a) Show that AUB AUB. (b) Similarly as in…

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Q: Consider the system below. * = rx + y – x³ jy = -x + ry – 2y Chis system has a fixed point at (0,0).…

A: First we will calculate Jacobian matrix at the origin and then its eigenvalues. Then depending on…

Q: Ls (i) Consider the iterated integral 1-x (2-2r-2y Rewrite / using an x-simple region (with dxdzdy…

A: Order of change of triple integrals, Evaluation of triple integrals, by using cylindrical…

Q: 17. To each person on the earth assign the number which corresponds to his age. A. bijective 18. To…

A: NOTE: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Using Laplace transforms, solve the differential equations (D+ 1) y, +(D - 1) y2 = e-! (D+ 2) y, +…

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Q: [1 1 1 If A = 1 1 3"-1 3"-1 3"-1 prove that A" =| 3"-1 %3D 1 1 3"-1 for 1 3"-1 all values of n e N.…

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Q: Q1. Test for convergence of the following alternating series El-1)"+1_n+1 In +1 n=1

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Q: Prove that the property of being a tautology is hereditary under the Rule of Substitution.

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Q: Find the interval of convergence of 7" Σ (2n + 1)! n=0 (Give your answer as an interval in the form…

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Q: a survey оT 260 сolleg had taken a mathematic

A: Given, in a survey of 260 college students, the following data were obtained:64 had taken a…

Q: Consider the sets of vectors: A = (3,6,30),(9,15,81),(-2, – 8, – 34)}. |B = {(- 1, – 5, – 24),(-4, –…

A: Given that,  sets of vectors: (d) A=3,6,30,9,15,81,-2,-8,-34B=-1,-5,-24,-4,-19,-91,-6,-24,-111 and…

Q: 4. A weighted voting system for voters A, B, C, D and E is given by {36:30, 12, 9, 5, 3} . The…

A: Given, Weighted Voting System : 36:30,12, 9, 5, 3 To find: a) Total number of coalitions…

Q: Find domain, vertical and horizontal asymptotes if any, then graph the function x2 – 2r – 3 x² – 4x…

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Q: Use Green's function to solve: y" – 4y' + 3y = ex, y(0) = 1, y'(0) = %3D

A: Introduction: Green's function is another method to solve an initial value problem. Green's function…

Q: Find the interval of convergence of Σ (-6)" (х + 10)" п! n=0 (Use symbolic notation and fractions…

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Q: Verify the Pythagorean Theorem for the vectors u and v. u = (1, -1), v = (1, 1) Are u and v…

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Q: (a) v + 4w (ь) 2w 글(3v-4u + w) (c) II II

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Q: Test the convergene and divergence of the following series

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Q: Quadrilateral TANG is inscribed in a circle. If mZN= 55° , find m2T.

A: Given :  Quadrilateral TANG is inscribed in a circle  with  m∠N = 55°. To find :  We have to find…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Solution

Q: Consider the vectors: Vi = (2,0,0,-2), |V2 = (-14,–7,-12,54, V3 = (0,1 1 -6) V4 =…

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Q: The count in a bacteria culture was 400 after 15 minutes and 1200 after 35 minutes. Assuming the…

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Q: Identify the asymptotes and vertices of the hyperbola:  36x^2 - 49y^2 - 100 = 0  Draw the…

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Q: (10 Use the graph to determine when f(x) = 4 and the value of f(4). 3 2- 11 10 2- 3- -4- 4.

A: The given graph is linear graph.

Q: Question 11 : Determine whether the given two matrices are similar : [o -1 [2 0 1 A = 2 1 1 and B =…

A: To check if the matrices are similar or not A=201211010 and B=0-1112001-1

Q: Compute the singular value decomposition (SVD) of 1 2 0 A = 2 1 0 \o 0 . showing all your working…

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Q: Find the angle e between the vectors. f(x) = 2x, 9(x) = 4x2, (f, 9) = radians

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Q: Consider the following. W = {(4t, t, -t): t is a real number) (a) Give a geometric description of…

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Q: 1. State whether or not each diagram in the figure below defines a function from A = {a, b, c} into…

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Q: Consider the two point BVP: -u" + 3u = 1, 0<x with u(0) = u(1) = %3D

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Q: A is an n × n matrix. Check the true statements below. Note you only have 5 attempts for this…

A: Please post the multiple sub-parts separately.Here I answered 1st three sub-parts as per our policy.

Q: Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a…

A: A quadrilateral is said to be rectangle if the quadrilateral have pair of opposite sides are of same…

Q: Problem 4: Use Green's function to solve: y" - 4y'+ 3y e, y(0) = 1, y'(0) = 1.

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Q: Suppose that f: G → G such that f(x) = axa. Then f is a group homomorphism if and only if a = e a^4…

A: Let ,  f : G → G  such that ,  fx = axa We know that , f : G → G  is a group homomorphism if and…

Q: 3. For the functions shown below, write both Fourier cosine and sine series on the interval 3.1.f(x)…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: ) Find the general solution U(x,y) to the second order partial differential equation Uxy = 0.

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Q: Find the roots of the linear equations using Crout's Method. 5X1 + 4X2 + X3 = 3.4 10X1 + 9X2 + 4X3…

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Q: 1. Get examples of: o a theorem with a direct proof, and o a theorem with an indirect proof. The…

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Q: The count in a bacteria culture was 300 after 15 minutes and 1500 after 30 minutes. Assuming the…

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Q: (e) (f) (g) (h

A: As per Bartleby guidelines we're supported to answer only first three subparts. Kindly repost rest.

Q: x° +4 Perform a test to determine if dx converges. X' x° +4 Does -dx converge or diverge? O Diverge…

A: An improper integral is a type of integration that determines the area between a curve.

Q: *Sketch all appropriate regions or solids." Evaluate the integral [[2y² cos(xy) dydx.

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Q: The roots of an auxiliary cubic equation are m1=-1 and m2=m3=-5. What is the corresponding…

A: We have given the roots of an auxiliary cubic equation ,  m1 = -1  , m2 = m3 = -5 Thus , Auxiliary…