* Each series converges. Show why, and compute the sum. Ση 12 [η2 + 4η] ? η=1

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Q: 4 y': sy': y+x y²+x² xy y(1) = -2

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Q: (b) Prove that under the assumption of very small rotations and right-hand convention, the 3-D…

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A: Solution

Q: 2. At what point is f(x)=x²-25 A. -5 B. 5 continuous? C. 2 D. -2

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Q: 2. A solid G is bounded by the paraboloid z = 4-²-y², the cylinder x² + y² = 4 and the plane z = 5.…

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Q: dx 4√/3x-x² 5³-

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Q: 2. Determine the Fourier series for F(x) = -2 when F(x) = 2 when -π<x<0 0<x<T

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Q: DO THESE! 1. The grades of a class of 9 students on a midterm report (x) and on the final…

A: We need to find the equation of the regression line y=mx+b for the data. x y 77 82 50 66 71…

Q: Why is the answer B?   True or False: Whenever a system has free​ variables, the solution set…

A: Introduction: The basic variables and free variables are very significant in matrix. Especially, in…

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Q: Consider the circular helix with equation R(t) = (12t, 5 cos t, -5 sin t). (a) Find the value of t…

A: The arc length parametrization in s is given as below.

Q: Use central-difference method to approximate the derivative of f(x) = In x² with value of x at 1.8,…

A: In this question we are given that f(x) =ln (x2) We have to find the value of f'(1.8) with the ∆x =…

Q: Which of the following statements is false?       A) In most cases, for the inequality with ≤, the…

A: As we know that optimal sol (i-e minimum or maximum) are occurer in always boundary point i-e corner…

Q: Evaluate the following integral by first converting to polar coordinates. LL cos (x² + y²) dy dx

A: A polar coordinate system contains a reference point and a reference direction. The reference point…

Q: Q1/ From the following table of values, find the approximate value of f' (1.5) ? 1.2 1.7 1.5 0.4055…

A: To Find: The approximated value of f'(1.5), Using the given table of values.

Q: pue 2 2001OSA JESUTICO-UCU GALI JESTUCO @ (a) Express b as a sum of a vector parallel to a 6, that…

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Q: 10 5-2 sin 8 a. find the eccentricity and identify the type of conic; b. write an equation of the…

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Q: Solve for the following. Compute the peso mark up and percentage mark-up. 1. Selling price 50.00…

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Q: 3. Consider the following table. 1.6 2.4 3.0 4.7 2.1 6.841 8.794 9.921 12.147 3.65 4.25 14.436…

A: We will use the basic knowledge of numerical analysis to answer both the parts of this question…

Q: Q₁: (A) Let R=(Z12, +12-12). 1. Find all maximal ideals of R. 2. Evaluate char. (R). 3. Is R a…

A: Solution

Q: x²-x+1 x² + 2x + 2 -२ хр.

A: To solve: ∫x2-x+1x2+2x+2dx

Q: 2) Write an expression that represents: 2-2x twice x less than two 3) Show the solutions to the…

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Q: Using variation of parameters, find the general solution of the differential below "1 i. y +9y =…

A: Solution of only firt question because second question is leanthy so u can reupload next second…

Q: 1. dy = -2x tan y, y(0) = π/2.

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Q: II. Fill in the missing entry in each row: Equation of line m Point P Point (P) X = 0 (x,y) 1.) Y =…

A: II) 1, Given line equation, X=0 Image of P(x,y) w.r.t line X=0 : line equation ⊥to X=0: Y=C Let…

Q: 1. Solve the following equations: c) (x² - 4xy - 2y²) dx + (y² + 4xy - 2x²) dy = 0

A: Given :  DE is          x2-4xy-2y2dx+y2+4xy-2x2dy = 0                     dydx = -…

Q: 1. A. 2. A. If 5*=k then 25*= > 5k B. 2k C. K5 Which of the following is equivalent to 4³=64 ?…

A: For quetion (1) option D is correct For quetion (2) option A is correct   I attach the explanation…

Q: Exampley Consider the following nonlinear sine-Gordon equation Utt-Uxx+5 inu zo subject to the…

A: Solution: Given the Sine-Gordon equation utt-uxx+sinu=0   - - - - - (1) and initially conditions;…

Q: Determine the value of k if the L[ tkt ] = 1/(s2 - bs + 6.0).

A: Solution

Q: Use Newton's Method to make the second approximation x2 to the solution of 2e™ = ex. Take ₁ = 1.

A: According to guidelines I solve first question only so kindly request you to repost the remaining…

Q: 2.) - 5y = e-³t sin(4t); y (0)=3, y' (0) = 10 dt

A: Some Laplace formulas

Q: 4x³-18x²-36x Solve for the vertical asymptote/s of f(x) = 4x3-34x²-60x

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Q: Let R be the region below bounded by the parabola y = 4 - x² and the lines 3x - 2y + 3 = 0 and y =…

A: The region R is bounded by the graph of y=4-x2 and the lines 3x-2y+3=0 and y=0. The region is…

Q: Q6) Find the approximate value of A and B in ya = x(1-x)(A + Bx) where y + x² = 0 and y(0) = y(1) =…

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Q: Find a basis for the column space of Basis = 4 2 4 0 0 -2 -3 -4 4 -2

A: The solution is given as

Q: Given the function f(x) = 400x 5 − 900x 4 + 657x 3 − 200x 2 + 25x + 0.2 with integration limits from…

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Q: inside 2 = 2 cos 20 and outside r = 1

A: We have to find area between the polar curve.

Q: Consider the convex set given by 2 x1 + 3x₂ ≤ 22 5x1 + 2x₂ ≥ 12 21 ≥ 0,2₂ ≥ 0 (a) Introduce a slack…

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

Q: 2. Find a subset of the vectors that is a basis for the space spanned by these vectors. v₁ =…

A: Solution:-

Q: :True or False 1. Every ring is a group. 2. Every subset of a ring is also a ring. 3. Any ring must…

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

Q: 3 D Find DE distace from Plane to rumuay Round to nearest fort. X 5280 feet

A: Consider the given figure. Given DF=5280 feet, ∠D=30° and ∠F=90°. And DE=x We have to find the DE By…

Q: 1. Find the positive solution of 2cos x = x until you find the six significant figures exact…

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

Q: 26) Let f(x)=x²e-². For what value(s) of x does f(x) have a horizontal tangent? (a) Find the linear…

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Q: 8. Solve for the quadratic equation x²-6x-8= 0 using the quadratic formula. 9. Solve for the…

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Q: Question 2 If z=f(u, v) where u-0.5(x² - y²) and v- xy, show that 8²2 8²z = 2(²-0) 82z əx² +45 2 0…

A: The given function is z=f(u,v) where u=0.5(x2-y2) , v=xy. To Prove:…

Q: Given IVP y'=t-t²y, y(0) = 1, 0≤t≤ 1.8, N=3. The value of y(0.6) using Runge-Kutta of order four is…

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Q: 4. Determine the Fourier transform of the given function: 1 (t) = {2t - t, 2t - 1, 0 < t < 1 0<t<2…

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Q: 4. Expand f(t)=sint, 0<t<n in a half-range: 5 a) Sine series sin(1-n) sin(1+n) ANSWER: (0)=sin(1-…

A: The given problem is to find the half range Fourier series expansion of sine series and cosine…

Q: THree-way combinations are things like this : If [A is true and B is true ] OR [if B is true and C…

A: Given Statements:If A is true and B is true                  ORIf B is true and B is falseWe need to…