Show that y = x is a solution of the differential equation x^2 y” – (2x + x^2 )y’ + (2 + x)y = 0, and find the general solution of this equation. explain your answer.

Q: Explain why S is not a basis for R2. S = {(-4, 8), (0, 0)} O is linearly dependent. O s does not…

A: Note: A linearly independent set S containing n vectors in Rn is a basis of Rn.  If S is a basis of…

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Q: Through the point (2, -4, 0) and parallel to each of the planes 2x + y -z = 0 and x+ 5y + 3z = 0.

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Q: Find an explicit solution y' = (1– 2x)y², y(0) = – 1/6 Upload Choose a File

A: Fist order differential equation by using Separation of variables method

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Q: Are the relations represented by the following matrices equivalence relations? 1 0 1 0 0 10 1 10 10…

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Q: 1) If y = A• cos(cx) + B sin(cx) is the general solution of the differential equation y" +c?=0 for…

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Q: Let 9. 2 H = span 10 A basis for the subspace H C R* is { }. vector

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Q: Evaluate int int int _D sqrt(x^2+y^2) dV, where D is the region bounded by the cylinder x^2 + y^2 =…

A: To find- Evaluate ∭Dx2 + y2 dV, where D is the region bounded by the cylinder x2 + y2 = 1, lies…

Q: 3. Find the Taylor series expansion of sinhx about x 0 and its interval of convergence. Then find…

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Q: Problem 6: Use Boolean algebra laws/theorems to show that (x1 + x2 + x3)(x1 + x2 + x3)(x1 + x½ +…

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Q: Use the Finding P-values flow chart interactive to answer the following question. A particular…

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Q: If A = {x:x [B| None of these Option 3 O Option 4 |A| = |B| |A| < |B|

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Q: Prove that An B = AUB using the method of i) membership table, ii) identities, and iii) Venn…

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Q: Express in Cartesian components: (a) the vector at A(4, 40°, -2) that extends to B(5, -110°,2); (b)…

A: express in cartesian components (a) the vector at A4,40°, -2 that extends to B5,-110° , 2 (b) a unit…

Q: H.W: Find divided differences tables for the following data: 1. (1.6,0.625), (2.9,0.3448),…

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Q: -2 -1 -2 -4 4 -6 -5 -4 -4 6 10 -13 - Answer / compute the following. 7 7 -7 -5 -6 -9 10 -4 -3 -4 -6…

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Q: Prove that if PQ≅RS and RS≅UV then PQ≅UV in the simplest way possible. Please do not use any example…

A: Congruent relation is an equivalence relation. So, congruent relation is a reflexive, symmetric and…

Q: Find a potential function f for the field F. 7y j+ y? +z? 2 7z F= (In x+ sec (10x+ 10y)) i+ sec…

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Q: a. Which of the eight properties are satisfied by N? Give examples of the properties which are not…

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Q: aragus that weighs 15 pounds. The trim loss is 43%. What is the yield percent?

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Q: Create two 2 x 2 matrices A and B, to show that (A+ B) - A+B is not always true. Clearly write A, B,…

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Q: - by Newt Ss was c an only. T ne iteratic

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Q: Given the demand function D(p)=√375−3p Find the Elasticity of Demand at a price of $18 At this…

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Q: A component has the following linear hazard rate, where t is in years a(t) = 0.4t, t2 0 a) Find R(t)…

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Q: x + 2y + z – t = 5 입+y+ 2z+ 2t = 8 4x + 4y + 3z + 4t = 22 1 x + -z+t = 3

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Q: For each n e N, let A, = (}, } + ) %3D Find Unen An. Find Nnen An.

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Q: DETERMINE THE MEAN, VARIANCE, AND STANDARD DEVIATION OF THE FOLLOWING PROBABILITY DISTRIBUTION AND…

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

Q: Let f: Df →R be defined by f(x) = r+1, and let g : D, R be defined by g(x) = x -1, where D; and D,…

A: As per the policy, we are solving only 3 subparts of this question. Please repost and specify which…

Q: The following properties are true EXCEPT A. 51 2l = lsl l2 C. 2= D. 1 + 22 = 3T + 32

A: To identify which of the given property of complex number is not true.

Q: x = 2x1 – 5x2 x2 = 4x, – 2x2 x,(0) = 2, x2(0) = 3 %3D

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Q: Find the amount of salt in each tank according to the following diagram. The initial volumes are 3…

A: Given: Initial volume in both tanks vx=vy= 3gallons. x(0)=1 y(0)=0 vx- volume in first tank…

Q: Are the lines x = 7+11t, y = 11–61, z = 4–9t, and x = 3–12t, y = 7–t, z = 12–6t parallel? Yes O No

A: We have to check whether given line is parallel or not?

Q: 9.

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Q: The graph of f(x) is given below. On what interval(s) is the value of the derivative f'(x) positive?…

A: Given that a graph We have to find derivative of f(x) is positive.

Q: 1.9 4. Suppose An = (-:m e N}, ne N, %3D where N are non-negative integers. What is lim inf An and…

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Q: Use the fact that matrices A and B are row-equivalent. [: 210 2511 0 A 3 722 -2 9 20 7 0 4 10 30 -4…

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Q: une the radius and interval of convergence of the series 2 4...2n n=1

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Q: Find the domain, vertical asymptote, and x-intercept of the logarithmic function. (Enter your domain…

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Q: Find the work done by the force field F on a particle moving along the given path. F(x, y, z) = yzi…

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Q: -3 -4 Are the vectors and linearly independent? -3 Choose If they are linearly dependent, find…

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Q: 2. By constructing a truth table, show that p V (q ^ r)and (p V q) ^ (p V r)are logically…

A: We will make the truth table for verifying the logical equivalence of given statement.

Q: 9. Use Euler's Theorem to show that 3 (26) = 1 (mod 26). Show your work or explain your reasoning…

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Q: A region in space, D, is given. Set up the triple iterated integral that one would use to find the…

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Q: Is this statement true? If Ax = b has a solution for b, then A must be invertible.

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Q: Use the Integral Test to determine whether the infinite series is convergent. 1 n2 + 81 n=9 Fill in…

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Q: Using Gauss-Seidel Method, obtain the solution to the system; x1 + 5x2 + 3x3 = 30 %3D 3x1 + 7x2 +…

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Q: -4 Find the general solution to the second order system x' " х+ -5 cos(2t). 2

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Q: 1. Let a, b e Z. Prove that if a = 0 (mod 5) and b = 2 (mod 5), then a² + b² = 4 (mod 5).

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Q: (a) Show that the series g(3) = E( 1 Z- NA z+ nA n=1 for every z # ma for any nonzero integer m and…

A: To Show- Show that the series gz = ∑n=1∞1z - nπ + 1z + nπ converges for every z ≠ mπ for any nonzero…