Is the series Σ (3j)"n! n" n=1 convergent or divergent? Give a reason for your answer and show the details.

Q: Find the value of a for which 4 is in the set -1 H= span -3 4 -2 a = 15

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Q: Bank A advertises a money market account that pays 2.2% compounded quarterly. Bank B advertises a…

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Q: For each of the exercises in this chapter, give a parametric indicating the direction it is traced…

A: Introduction: A parametric equation is one in which the dependent variables are defined as…

Q: 2. Locate the first positive root of f(x) = sinx + cos(1 +x³)- 1 where x is in radians. Use four…

A: (a) We need to find the root between 1 and 3

Q: 5. Explain why the Lp[0, 1] spaces are complete normed linear spaces. What is the norm of function…

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Q: 8. Natalie recently purchased her first home for $166 000. Calculate the amount of Natalie's…

A: Natalie makes a downpayment of 15% of the total amount.

Q: 1. Norah's bank offers personal loans for one to five years at 7.5% per year, compounded monthly.…

A: The formula we need to use here is n = lnDiDi-Pln1+i

Q: 3. The coefficient matrix of the system AX = 0 is given as 1 1 3 1 2 -1 0 1 -1 A = -3 2 1 -2 1 4 16…

A: For the solution of the problem follow the next steps.

Q: Compute the Laplace transfam of :

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Q: Find E[Y(z)] when Y(z) is given by 2z' + 6z² + 5z + 1 2(2z + 1)

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Q: The principal P is borrowed and the loan's future value A at time t is given. Determine the loan's…

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Q: Find |A|, |B|, AB, and |AB|. Then verify that |A||B| = |AB|. [ -1 3 1 -1 0 0 A = 1 0 1 В — 0 2 0 0 1…

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Q: Alice wants to teleport the quantum state of her first qubit |) = a|0) + B|1) to Bob's qubit with…

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Q: 1)What is the numerical result of n! a) (n – 3)! = n(n – 1)(n –- 2) %3D | " ()-() - (3) 25 %3D 6. 10…

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Q: Parents wish to have $150,000 available for a child's education. If the child is now 6 years old,…

A: Given that  Parents wish to have $150000 available for a child's education.  Present age of a…

Q: 26 If 91 iaるみ 78435167, find 7.

A: 9 divides 123x78425167 if the sum of digits of 123x78425167 is divisible by 9.

Q: L[af(t)+ Bg(t)] = aL[f(t)] + BL[g(t)].

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Q: thestan 741467Riscontivndr funChion then feRCane] Does the Converies of theoremexstlwhy?

A: The converse of the theorem " If f: [a, b] → R is continuous function on  [a, b] then f is Riemann…

Q: Find all integer x satisfying the condition x = gcd(4x + 3, 2x). Justify your answer.

A: To solve the given question we will use the following rules: 1. If a and b are two positive…

Q: The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's…

A: Introduction: Simple interest is a way of calculating the amount of interest charged on a sum at a…

Q: A class has 14 girls and 12 boys and a committee of 5 is chosen. What is the probability that this…

A: Use the given information.

Q: A tank contains 50 gallons of a solution composed of 90% water and 10% alcohol. A second solution…

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Q: 3. Determine whether X1 W E R? : x² + x2 = | X2 is a subspace of R².

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Q: t° cos(5t) + cos(2at) cos (3at) COS

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Q: -6 - 5 X = X2 メ5 2. -4 2. %3D %3D -3 3. X2 = 02 X3=0 %3D %3D How did you get the output I need step…

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Q: Find the eigenvalues and bases for the eigenspace of the matrix [4 -3 01 3 Lo 4 2]

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Q: Let A and B be nonempty sets. Prove the following statements. (a) For any function f : A → A, if f o…

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Q: B/ Find solution for the homogenous differential equation below: dy x² +y² dx 2хy

A: Given differential equation is dydx = x2+y22xy

Q: How many permutations of the 26 letters (English alphabet) do not contain any of the strings zero,…

A: Total number of permutations of 26 letters  (N) = 26! Number of permutations in which ZERO always…

Q: It is well known that any radiocarbon takes several decades to disintegrate. In an experiment, only…

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Q: For all u and v in R" with u + 0, show that u is orthogonal to v – u•v

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Q: A can of soda is a cylinder that is about 4.75 inches tall with a radius of 0.875 inches. What is…

A: Introduction: The volume of a cylinder of radius r and height h is given by, .V=πr2h

Q: Which of the following sets of vectors are linearly independent? (Check the boxes for linearly…

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Q: l+ 2e 4s 3e 3s s(1 – e 4*) — е

A: Introduction: When a function is periodic, the Laplace transformation can also be applicable in this…

Q: Find the centroid of the region lying underneath the graph of the function f(x) = (x² + 64) over [0,…

A: Find the centroid of the region lying under the graph of fx=x2+64-12 over 0, 7. Formula: The…

Q: 4. In the vector space P3(R), let S = {p1(x), p2(x), p3(x)}, where P1 (x) = 63x° + 19x² – 37x – 41,…

A: (a) we see, p2(x) = -3p1(x), so S is not linearly independent. [Ans] (b) As S is not linearly…

Q: F. Boolean Matrices [1 0 1] C-0 1 1 0 1 0 [1 1 1] D=0 0 1 10 0 [O 1 Let B = [1 0] [1 0 0 1 E=10 1 0…

A: Use the given operators. Note: We are allowed to solve three parts/1 question at a time so kindly…

Q: rying %3D 2. Use the Binomial Theorem to expand the expression (3x + 2y) Show your work

A: The solution is given as

Q: In the inductive step, we assume that for any k > 10 , P(j) is true for any 8 <js (k-2) and we will…

A: The proof by mathematical induction consists of two steps: The proof consists of two steps: The…

Q: -3 -3 9. 2 Let A = -3 -6 12 and b = 3 -3 -2 13 -5 Denote the columns of A by a1, a2, a3, and let W =…

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Q: Solve Y"'' – 6Y" + 11Y – 6 = 0

A: Given Y''' - 6Y'' + 11Y - 6 = 0

Q: Solve the vector equation: 8. メ2し5 -2 3-6 x, 3.

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Q: Solve the following first order equations: (a) (x²y² + 1)dr + 2r²dy = 0, use the substitution ry =…

A: We have to solve 1st order differential equation using substitution xy = u.

Q: [1 1 3. Using the partition method, find the inverse of 4 3 - 1 3 3

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Q: Aply Runge-kutla method appresimaliely value to find am ofy fou x 0.2 in eps of o4, 4 dy/d=x+y2,…

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Q: use synthetie division to find each fünetion value. Verify your another answers using method.…

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Q: QUESTION 3 Find the area of the rectangle with a length of 3 meters and a height of 6.5 meters.…

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Q: Q1. Solve the following first order equations: (c) ydr = (ye" – 2x)dy.

A: Given ydx = (yey-2x)dy

Q: A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram…

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Q: Determine values of y at the pivotal points of the interval (0, 1), if y satisfie the boundary value…

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