Σ s2 an convergent or divergent?

Q: 1 (а) 4n² – 8n + 3 n=1 In n (b) E(-1)". n2 n=2

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Q: The lengths of each side of a rectangular prism are doubled. What is the ratio of the surface area o...

A: Let the rectangular prism has l units length, w units width and h units height. Now the lengths of e...

Q: cos? x sin x | cos“ x dr 3 + 4 COs x sin x 1 COS4 + 4 + c 2

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Q: 1 dx = arcsec(x – 3) + c - (х — 3) Vx? — 6х + 8 6x + 8 -

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Q: 3. f (t) e2t Cos 5t 3t3

A: Laplace transform formulas need to be known. They can be obtained from here: https://tutorial.math.l...

Q: Solve for w where u = (1, 1, –1, 0) and v = (2, 3, 0, –1). 5w = u - 4v W =

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Q: os - and b, = cos 1 for all n eN such thatn > 2. п-1 Let an = COS п = COS Determine whether the give...

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Q: Evaluate |1 – cos40 de O 1/(2v2) V2/2 O None of the choices O 1/2

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Q: Let A 1B = 5 l, and C-1 = If X is a matrix that satisfies: %3D %3D 2B = Al2 - XC then X is

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Q: Laplace Transformation

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Q: A- Find asymptotes for the following functions: +2x (1) x²+ x x+4x (2) 2x (3) (x+1)(x-1) x2-1

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not men...

Q: What Mclaurin Series this function represents: ELo(-1)? = x2k+1 + 7! | (2k+1)! O a. e^x O b. cosx O ...

A: We need to find  function for the Mclaurin's Series. ∑k=0∞(-1)2x2k+1(2k+1)!  

Q: If ty'+y=6, y(1)=3 , what is the solution to the equation?

A: Consider the initial value problem: ty'+y=6, y(1)=3. Rewrite the equation:  ty'+y=6tdydt=6-ydy6-y=dt...

Q: 223+-5 -j Suppose z1 = 2+ j, 2 = 3- j2 and z3 = -+j Evaluate %3D 2-a+3-j

A: Substitute the given values of z1,  z2, z3 in the given expression and simplify. 2z2+z1-5-j2z1-z2+3-...

Q: anc

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Q: - frele thab G=xK is abelian ifP both of HiK are abelian -Does Z12 Hxk where, H-Só, ū 83

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Q: may only use methods shown in class. 1.) Use the graph of f(x) below to evaluate the following: b.) ...

A: The limit of the function at x=a is the value of the function f(x) as x approaches to a The limit of...

Q: Suppose that f(1) = 4,] f(4) = –6,) f' (1) = 6, f' (4) = 3,| and f"| is continuous. Find the value o...

A: Given- Suppose that f1 = 4, f4 = -6, f'1 = 6, f'4 = 3, and f'' is continuous. To find- Find the valu...

Q: Let B= {b1,b2} and C= be bases for a vector space V, and suppose b, = 8c, - 2c2 and b2 = 9c, - 3c2. ...

A: a. Given B and C are two basis. We have to find change of basis matrix from B to C As we know change...

Q: Let g be a decreasing continuous function on [0,1), assuming the values g(0) = 1 and g(1) = 0. Show ...

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Q: It's vacation time of the year and your family agreed to go to a famous beach resort in your provinc...

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Q: Suit Sales The number of suits sold per day at a retail store is shown in the table, with the corres...

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Q: If z = x2 + y?, x = e' cos(s) and y = e' sin(s), then %3D dz at (t, s) = (1,0) is as %3D

A: Given that z=x2+y2, x=etcoss and y=etsins First we have to find ∂z∂s.

Q: The value of the integral / (t tan-+3y+sin-r)dr + (cot-'y+e +7x)dy, where C is r +y =9 is %3D

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Q: se 3 Find a basis of the null space N(A) C R of the matrix 1. -2 A = -3 E M3x5(R) 6 -1 -7 -4 5 8 -4 ...

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Q: 3. The following table was obtained in solving a differential equation. Using linear interpolation b...

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Q: Prore the only prime of the form n°-4 is 5.

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Q: II. Bernoulli's equation: dy 4. dx -2y %3D글x" xy3

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

Q: Suppose that a clothing store marks up its clothes 40% when it buys them from the supplier. a.) Let...

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Q: 4. Recursively defined sets Give a recursive definition of the set below. The set of positive intege...

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Q: Ron's Recycle Shop started when Ron bought a used paper-shredding machine. Business was good, so Ron...

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Q: 4-a2-y? 1 x2 + y? + z2 dzdrdy 0,

A: The given problem is to evaluate the given triple integral with given limits. We can convert the Car...

Q: (a) If r and s are regular expressions, explain why (r+s)* + r* + s* . (b) Also carefully explain wh...

A: Regular expressions:- If r and s are regular expressions then, r*=ε+r+rr+rrr* and s*=ε+s+ss+sss*.

Q: list down 10 examples each for inductive and deductive reasoning

A: Inductive reasoning:--- 1. The cost of goods was $1.00. The cost of labor to manufacture the item wa...

Q: Find the Fourier transform 1-x, | x | 1 sin x Cos X CoS x Hence evaluate dx.

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Q: Is line segment DE parallel to line segment BC? DA = 2 AE = 4 BD - 2 EC = 4 C O no O yes, because tr...

A: If a line parallel to any of the sides of a triangle is drawn across the other two sides, then the l...

Q: 50 *_Rined limo 100

A: Since you have asked multiple question here, we will solve the first question for you. To get the so...

Q: 10 The straight line / has equation r= 2i-j-4k +A (i+2j + 2k). The plane p has equation 3x- y+ 2z = ...

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Q: Show if the given set is a group defined by the given operation. Check all properties. If so, check ...

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Q: For the following matrices, find all eigenvalues and eigenvectors. [3 4

A: Given matrix is 3−24−1. We have to find the eigenvalues and eigenvectors. Let A=3−24−1 The eigenvalu...

Q: 6. y = In (e* + e") 7. y = tan e + etanax 8. y = In(x + Vř +1) 9 y = Arctan(;

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Q: 5.identify the fixed points, cobweb the diagram, and assess whether the fixed point is an attractor ...

A: This is a dynamic system problem.  

Q: f(t) = (1 + tet)*

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Q: 4s – r – 5t - (2r + 5s + 3t) - 4t – (4r + 4s) - 5s – 3r + 3t vith r, s andt real. Find a matrix A su...

A: given W=4s-r-5t-2r+5s+3t4t-4r+4s5s-3r+3t with r,s,t ∈ℝ find a matrix A such that W=ColA

Q: The curve C is the circle of radius 5 contained in the plane z 5 and centered around the z-axis, ori...

A: Solution:-

Q: IV. Determine whether the given series is convergent or divergent. Justify your answers. 1 (2n)! (a)...

A: Note: Since you ask multiple question, only first question will be addressed here. It is given that,...

Q: Solve for w where u = (1, 1, -1, 0) and v = (2, 3, 0, –1). %3D %3D 5w = u - 4v w =

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Q: . Integrating factors found by inspection 1. y(y – x)dx + x(y³ + x)dy = 0 when y(1) = 0 2. (x³y³ + 1...

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Q: If tan then 1– 2 1+ z2 COS X 8 |N

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Q: Give a Taylor series expansion of f(x) = In(x) and use its first 5 terms to approximate In(7). Also,...

A: This is a problem of Taylor expansion.