Use the Ratio Test or the Root Test to determine whether the following series converges absolutely or diverges. k 00 9k° +k E (- 1)** 2k° +k+6 3 k = 1

Q: QUESTION 24 What is the time complexity function of the following algorithm? 1. Input string…

A: To find- What is the time complexity function of the following algorithm?

Q: (The minimal surface of revolution problem ) Find the curve with fixed boundary revolves such

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Q: for Define a sequence xn recursively by the rules x1 = 2, x2 = 6, and xn = 3xn-1 – 2xn-2 30, and so…

A: We use strong induction. The detailed answer is presented in typeset form below.

Q: Exercise 12.21 Solve the following simultaneous equations: dr dy 1. + dt dt = e" +x = e dr dy…

A: Given dxdt+dydt+x=e-tdxdt+2dydt+2x+2y=0 where x0=-1, y0=1

Q: 1. Show that cosh 4x = 8cosh4x - 8cosh? x + 1.

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Q: Given the initial conditions y(1)=1 and y'(1)=0, estimate y at x=1.2 using a stepsize h=0.1. Use…

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Q: I. Consider the permutation (1 2 3)(4 5)(1 25 4)-2. 1. Express as a product of disjoint cycles. 2.…

A: consider  the permutation (123)(45)(1254)-2

Q: 2 The half range cosine expansion of f(t) = t + t,0<t<1 is 00 2 2 f(t) = + n [2(3(-1)")] cos cos…

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Q: Sketch a graph of the given function. Clearly show intercepts, end behavior, and at least one test…

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 1 Σ 3n2 + 6…

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Q: nduce Such that induced cosinte Sind l Meatric SPaces toplogey. write meatric Spaces Such that…

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Q: QUESTION 12 The following matrix is the adjacency matrix corresponding to a directed c raph.…

A: (a) In the matrix the element M21 = MBA = 1       =&gt; Vertex A is reachable from vertex B.…

Q: 13. Form the negation of each statement: a) All marbles are blue. b) Some flowers have thorns.. c)…

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Q: 18 Compounded continuously formula: A = Pert $50,000 is compounded continuously at interest rate of…

A: Compounded continuously formula

Q: Let A=(1, 2,3,4,5,6,7,8,9,10,11,12) how many different non-empty subsets are there in set A

A: Given,            A=(1, 2,3,4,5,6,7,8,9,10,11,12) We have to determine the number of different…

Q: 2 5. Bob gave of his pencils to Barbara, then he gave of the remaining pencils to Bonnie. If he…

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Q: Find the N-point Discrete Fourier Transform X[k] for the following sequence: 0<n<N-1 x[n] = 0,…

A: The given sequence is xn=13n,0≤n≤N-10,Otherwise. We know the the discrete time Fourier transform of…

Q: Solve the right triangle using the given information.   a=76.9 ​yd, b=40.2 yd         Part 1 The…

A: Given that: ABC is a right angle triangle a = 76.9 yd  b = 40.2 yd

Q: (b) Use Gaussian Elimination to solve: X1 - 2 x2 - X3 + 3x4 = 4 2x1 + X2 + X3- 4x4 3 3x1 - X2 2x3 +…

A: Apply gaussian Elimination to the augmented matrix and back substituting.

Q: Let V be a finite – dimensional vector space over the field Fand i 1. 11 c 1 1 :

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Q: Solve the following initial value problem. y(3)+y''=8x+4e-x; y(0)=1, y'(0)=0, y''(0)=1 The desired…

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Q: 2 3 4 5 1 3 5 (1 2 3 4 5 Consider the permutation 12 4 2. 3 4 1 1. Express as a product of disjoint…

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Q: b) Evaluate the following limits: 2(-3+h)2 18 i. lim h→0 - h (t-V(3t+4) ii. lim t→4 4-t -2X 6e4x –…

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Q: dx = adt + bdz x = Xo + at

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Q: 3. The path of a soccer ball kicked into the air is modelled by s(t) = 0.2+ 19.6t – 4.9t, where s(t)…

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Q: For the following differential equations: a) plot the defining function over the indicated range…

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Q: abet contains 21 cc of the English alph e vowel? o vowels?

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Q: Using this information, solve for the delay differential equation 3 x' (t) = 6 – x (t – to), (0.1)…

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Q: For Items (b), label all important points such as intercepts, vertices of parabolas and hyperbolas,…

A: Given  S2:x24+y+12-z-323=1

Q: Show the following series is conditionally convergent. (-1)*

A: To show that the given series conditionally convergent.

Q: H.W: Evaluate the integral 3 0 0 1 1. Jaży – 2xy)dydx 2. (x + y + 1)dxdy 0 -2 -1 -1

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Q: 24 Write nth term of geometric sequence. а) ај — 6, r — 3 b) a1 = 200, r = 0.5 %3D

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Q: Q2/ Analyze the functions below using the fourier series: ーTくx<0 0, f(x) = {ェーX, TT - X, 0s x< T

A: Let us consider the function f(x) in the interval [-L,L] The Fourier series of the function  is…

Q: M. Solve each of the : A card is drawn from a standard deck of 52 cards. Find the probability that…

A: Solution

Q: 1. Let the universal set U = {x | x e natural numbers, 0 < x < 9}, A = {2, 4, 7, 9}, B = {1, 3, 5,…

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Q: 6. Write the negation of each statement. a. Some telephones can take photographs. b. All houses have…

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Q: 8. Determine the truth value of the each of these statements if the domain consists of all integers:…

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Q: Find the general solution: (x² D² + 6xD+6I)y=x². Select one: O a. y = a2 %3D 20 O b. y = (c1 + c2…

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Q: Let wi be a number associated with player i = 1, 2, 3. Suppose a coalition Sc{1,2,3} has value v(S)…

A: Given: Let wi be a number associated with player i=1,2,3 and a coalition S⊂1,2,3 has value…

Q: а ) 0 0b0 0 11. Using cofactor method, prove that det M = 0 0 = abcd 0. 0 0 0 d a? a3 12. Using…

A: Introduction: The determinant is a scalar variable in mathematics that is a function of the entries…

Q: dy 3. Find if y= sinh(sec 2x) . Simplify your answer. dx

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Q: For a graph whose adjacency matrix is given below, determine the type cf the graph. 1 10 10] 1 1 0 0…

A: Explanation: Before determining the type of the graph, First we need to understand what is the…

Q: 2. Using m-6 steps, estimate the value of the definite integral | (2r3 +r + 1)dr I=1 (a) Using the…

A: Simpson's 3/8 Rule:- Simpson's 1/3 Rule:-

Q: What is true about alternate interior angles? They have equal angles. O Their angles sum up to 360…

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Q: Use Newton's Method to find the two solutions of eª = 4xl to six significant figures. 12 1,0 -1…

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Q: Prove that the only homomorphisms from Z to Z (Z being the ring of integers) are the identity and…

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Q: What is the length of the line segment? A(-3,4) -5 4 -3 -2 -1 2 3 4 5 -2 -3 B(2,-3) O 5 O V74 O 7 O…

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Q: + 25y = 19.5e^(-5t) c.) y'' - 6y' + 8y

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Q: his range ofperiod 2m -2 when – n < x < 0 1 2 when 0 < x < f(x)

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Q: Interval Sign of f'(x) then calculate f (0) for the function f(x) = 3ex - 7x + 2. %3D

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