For what values of x does the series E-1 n=1 x21+3 12² converge?

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A: Range and domain of the function

Q: Problem 3. For the function f(x) = 6x²-x-2, evaluate and fully simplify each of the following: a)…

A: The solution is given as

Q: 5.Express this model of an electric circuit d²y dy +6 +5y = sin10t, y(0)=0, y'(0)=1 dt² dt As a pair…

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Q: 50: Solve the differential equation y" + 5xv' + y = 0 by power series method.

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Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symmetric…

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Q: Question 3 A motor has 5 speeds varying from X rpm to Y rpm in a Geometric Progression. (a)…

A: according to question, a motor has 5 speeds varying from X rpm to Y rpm in a geometric progression…

Q: Find the complete solution(y= ye+yp) of the following Euler- Cauchy differential equation 4x²y" -…

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Q: Resolve yDx-2(x + y)Dy = 0 O x² + 2y = cy² ○ x + 2 = cy² O x + 2y = cy² Ox+2y=c

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Q: The monthly income associated with the sale of two products is described with the function in two…

A: critical point ( maximum ,minimum or saddle point ) of a function occur accordingly           fx (…

Q: Determine the type of the quadrilateral of this equation, for every a belongs to Real numbers 2x² -…

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Q: The integeral S 0 S cos tdt for x = 0.9 is approximately equal to 0 (Type an integer or a decimal.)…

A: Given: ∫0xcost2dt To find: The value of integral given integral when x=0.9 using appropriate series.

Q: Find the value of the standard normal random variable given P(Z > # ) = 0.1064. (Use a table or…

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Q: Use Euler's method with step size 1 to estimate ³(¹), where y(ª) is the solution of the problem y +…

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Q: Use the simplex method to solve the linear programming problem. Maximize: z = 2x₁ + x₂ subject to:…

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Q: 2d²y -X dx² dx +y=(b+1)(b +2)x(In(x))

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Q: Calculate the area for the following closed quadrilateral, given delta E (departure) and delta N…

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Q: f(t) = cos(nt) u (t-2)

A: As per the question we are given a function f(t) and we have to find the graph of its Laplace…

Q: See the circular helix with equation D(t)= (-15 cost,15 sin t,8t). 1. Look for the value of t such…

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Q: Determine the i - component of the cross- product for the two vectors: x = ai+bj+ck and y = di+ej+fk…

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Q: Suppose a population grows according to a logistic differential equation model. Its population in…

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Q: Q1: Answer 2 branches only A. Find the general solution of the following Initial Value Problem…

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Q: Question 1 1 Use your given sequences to answer the questions Series A 1, -1, -3, -5, -7... Series B…

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Q: Question 9 Use your value of x to calculate a value for e* from the first four terms. Compare the…

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Q: 2. Find y' if y = 5x + 2 using the limit definition derivative.

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Nx - My xM - YN has an integrating factor of the form a(zh Find an integrating factor and solve the…

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Q: 1. Given the points A(2,2,1) and B(9,3,6) and the plane K: 2x+6y+6z-9=0 Define: a. the equation of…

A: To find the equation of the line that passes through the point A2,2,1 and is perpendicular to the…

Q: Solve the IVP: y'' - gy y(0) = 0, y'(0) = 0 = ST 6 0 3

A: Sol

Q: Year 1955 1958 1960 1961 1962 1965 1968 1975 1980 1986 1990 Rabbit population 650 2180…

A: From above details we get.

Q: Which of the following sets are closed under addition? (i) The set of all vectors in R² of the form…

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Q: Let X = {2,3,5,8}, Y = {1, 3, 4, 7}, Z = {0, 3, 4, 9, 10} be subsets of the universal se U = {n € Z…

A: Using the concept of set find the following and we know that sets{X,Y,Z}  are the partition of U if-…

Q: Consider the solid Q bounded by the surfaces S₁: z-1=(y-2)², S₂: 1+y=2, S3:2=0, S₁: y=0, S: z=0 Let…

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Q: Consider the oriented curve C, which is the intersection, in the first octant, of the surfaces shown…

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Q: Q4 Determine the area that is inside both r =3+2,sin 0 and r=2

A: The given problem is to find the area of the region bounded by given curves. Given curves…

Q: rger's Criterion, determine w r bases for the ideal they generate. You may to compute the…

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Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symmetric…

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Q: Q₂: A. Re-write the double integral dydx in the form: (draw the region of integration) (1) ff dxdy…

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Q: (a) Determine the reactions at A and E if P= 630 N. The reactions are positive if to the right or…

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Q: F(x, y, z) = y²ri + i + (z − 1)² k Let a vector field and S the surface with equation ² = e" + 1 n =…

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Q: If the length of the top of a rectangle is 15 inches more than its width and the area is 1,350…

A: Wee have to find dimension of table.

Q: 50x1 + 107x2+36x3 = 2 Find the solve of the Linear system 25x1 + 54x2 + 20x2=1 by Crout's method…

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Q: Exercise 4-9 All the following proofs have only one premise and can be completed in a very few…

A: This is a question of logic

Q: fCt = [ Htu (t-π) Jun (37)

A: As per the question we are given the following function : f(t) = [1+u(t-π)]sin(3t) And we have to…

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Q: Problem 14. I a) Lett be a real number and let P (2, -3) be the point on the unit circle that…

A: Properties of trigonometric function  sin-1sinx=xsin-1-x=-sin-1(x)sin(2π-x)=-sinx The polar…

Q: (b) Prove that the set S = {x EQ: √2<x<√3} is closed and bounded in (Q.1-1), but not compact in…

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Q: Consider the initial value problem y' = y(2-ty), yo = y(0). Observe that for yo = 0, y = 0 is an…

A: Given, initial value problem is: y'=y(5-ty) with y0 =y(0) and equilibrium solution for y0=0 i.e.,…

Q: The bus fare in a city is $1.50. People who use the bus have the option of purchasing a monthly…

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Q: Use matrix operations to solve the following system of linear equations. 4x-2y+6z = 8 2x+8y+2z = 4…

A: As you have mentioned  I am solving question number 3. Given system 4x-2y+6z=82x+8y+2z=46x+10y+3z=0…

Q: c) Let (M, d) be a metric space and let S,T≤ M. Prove that SOT = ST. But SOT SOT.

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Q: Solve the given matrix equation for X. Simplify your answers as much as possible. (In the words of…

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