Use the Geometric Series Test to show that 0.3+0.03+0.003+…… converges.

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Q: Find the volume of the solid generated by revolving the region. 2 bounded by y + 2v2x = (x+ v2)´and ...

A: Simplify the given equations  to obtain the expression of y. Use the algebraic identity p+q2=p2+2pq+...

Q: In Problem 5, you found the closed formula for the sequence below. Use proof by induction to verify ...

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A: Solve the differential equation, by Power series method

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Q: Find X[K] by using DF.T

A: Given discrete time signal X[n]=[1,0,0,1] where X[0]=1X[1]=0X[2]=0X[3]=1

Q: Problem 3. Solve the following equations system: 2x1 + 6x2+ 4x3 : 18 %3D 5x1 + 6x2 + 4×X3 = 24 -2x1+...

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Q: Calculate the volume of the solid obtained by rotating the region bounded by the parabola 4py = x² a...

A: For the solution follow the next steps.

Q: Suppose Sf f(x)dx = 2 and f' g(x)dx = 7; find f*16 – 2f(x)dx] 14 O 40 O 31 O 24

A: Given ∫14f(x)dx = 2   and∫14g(x)dx = 7

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A: General solution of the differential equation

Q: The number of bacteria N in water after t hours is modeled by N = 125e0.8t . Find the current number...

A: Given that the number of bacteria N in water after t hours is modeled by N=125e0.8t. We have to find...

Q: 3ミ れニ」 ny.Sin?n 2パッ7

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Q: (a) Consider an investment that doubles in value if the interest rate is 9% compounded continuously....

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Q: Determine the value of the series E - n1 n² + 9n + 20 b)1 c)0 d) e)3

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Q: Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. 15 5] 5...

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Q: 1. X = {1, 2, 3, 4, 5} and Y = {3, 4}. Let's define a relation R in a set P(X), by a formula: (ARB) ...

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Q: From the following table, estimate the number of students who obtained marks between 40 and 45: Mark...

A: first we make the cumulative frequency table  marks :                      40      50     60       7...

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Q: y Ct) = 5€ - 2t Cos 6t

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A: solution:   Given : An annuity-immediate which pays 1 at the end of each half-year for five years, i...

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Q: I find the Laplaa Transform ) f4): e" (3t*+ 1) - 5 sin at 5 sin 3t

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A: Given integral is ∫2z23 - 3z3 + 5zdz

Q: olve for the Laplace transform : (5)

A: Laplace transferom of the function.

Q: ACT 1.1. “ What I can Do?" Construct a table of values to investigate the following limits: 10 a. li...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: If(z)- 니 < e. By definition Show that: lim, »1+i = - а. b. 4 lim = 2i. %3D 2- 1-i z2

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Q: Multiple Choice. Write the letter of the correct answer. Kindly explain why you choose the letter as...

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Q: Characteristic Equations Q1.Find the general solution of following PDE equation (a) (5x + R)uz + (7x...

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Q: 4. Solve the particular solution of y" + 3y' + 2y = 6et, y(0) = 1,y'(0) = 2, using b. Laplace Transf...

A: Solve the differential equation, by using Laplace transferom

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Q: 2. A Type Il error is committed when A. we reject a null hypothesis that is true. B. we retain a nul...

A: This is the question of theoretical distribution and hypothesis test.

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Q: b) Evaluate sin³30 d0 (Take n=7).

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Q: 7. jika z + 0 (0, jika z = 0. f(z) = Show that: a. Function f continuous for C b. f'(0) is NOT EXIST

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Q: Problem 01: (a) Write down the general form of the Cauchy-Euler differential equation of order n. (b...

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Q: Let R = Z/3Z, the integers mod 3. The ring of Gaussian integers mod 3 is defined by R[i] = { a + bi ...

A: Solution

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A: Given the wave equation ∂2u∂t2=c2∂2u∂x2                           (1) the string is fixed at the end...

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Q: Solve for the Laplace transform : (number 10)

A: Laplace transferom of the function.

Q: Q: Prove the trans farm; formula's by definition f Laplace -sto L 181t-6)J= ë* (Dirac Delta Funchan)

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Q: X + 5y + 15 z + 35 w + 70t = 0 X + y + 2 + w + t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20w +...

A: Convert the given system of equations in matrix form. 151535701111112345261220303123060105xyzwt=0100...

Q: A uniform magnetic field B has constant strength b teslas in the z-direction [.e., B = (0,0, b) ] (a...

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Q: (x+2)dx 1 (2-x)3 3/5 (2 - x)^(2/3) - 6(2-x)^(5/3) + C 3/5 (2 - x)^(5/3) + 6(2 - x)^(2/3) + C 3/5 (2 ...

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