Explain how notation in sequence works.

Q: 4. Which of the ff. series is convergent? 2 2 A. 6 – 2 + C. 1+ 2 + 3 + 4 +5 + . | ... 9. 27 Β. Σ 1…

A: A series ∑n=0∞an is said to be convergent if the sequence of partial sum sn=a0+a1+a2+...+an is…

Q: 7. A power series has the interval of convergence |x – 2| <. For which value of x is the power…

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Q: Determine if the following two lines are parallel, coincident or distinct: h:ri= (-5,-3, 1] + t (-3,…

A: The given lines are                          l1 : r1→=-5, -3, 1+t-3, 1, 0 ; t∈ℝ…

Q: Solve by finding series solutions about x=0: (x - 3)y" + 2y' + y = 0 |

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Q: W= 36+y+3", y sinz+Zsinge %3D

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Q: You deposit $5000 in an account earning 2% interest compounded continuously. How much will you have…

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Q: For G = S, state Question 11. necessary and sufficient conditions on T , a subset of S = {1, 2, . .…

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Q: Solve the differential equation below using series methods. y'' – xy' – 5y = 0, y(0) = 4, y'(0) = 2…

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Q: tue velue of tme integreed 0.53 ) vitxs de with an emor less tuam 0.001. Romd Jorr Auuy Jour Ayuer…

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Q: Let Rn be the group of rotations of a regular pentagon, and let r be counterclockwise rotation by…

A: Given that Rn be the group of rotations of a regular pentagon and r be the angle rotation by 2πn. To…

Q: Problem 1. Let a € R and u solve the 2nd order linear partial differential equation Uzz – 2auzy –…

A: Here, we are given the following 2nd order linear partial differential equation where α∈ℝ.…

Q: give the negation and contrapositve  of   'Everthing that is discrete is mathematics'.

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Q: Complete the table below using the exponential growth formula. Final Amount after x Years of Growth…

A: To find- Complete the table below using the exponential growth formula.

Q: If f (x) is continuous on (a,b], we define f (x) dx= lim f (x) dx Xa+ x

A: Solution

Q: Use Laplace transforms to solve the following initlal Value pr S y0)(t) – y(t) = 8 (t) y(0-) =…

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A: Solution

Q: R.2. Let X be the collection of all functions f :R→R. Show that there exists a one-to-one function G…

A: It is given that X is the collection of all functions f: ℝ→ℝ. Show that there exists one-to-one…

Q: Suppose z is a function of a and y, and tan y² + x² = z*e®%. Solve for az az and

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Q: 1. Complete the tables by calculating the relative frequency of phones in each interval. Explain how…

A: Hope this is useful

Q: Instruction: Create example problem about Area Region Bounded by Different curves. Write the…

A: The area between the curves y=x2-1 and y=-x+2 on interval 0, 1

Q: a) Given the vectors in M22 . 1 1 2 3 31 22 1 2 21 Show that they are linearly independent. b) Find…

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Q: The area bounded by yN and 2y-3is revolved about the yais Using circular ring mechod, set up the…

A: Solution

Q: 2. (а) . State whether the divergence of the vector field shown below is on average positive,…

A: consider the two vector fields. At any particular point, the amount flowing in is the same as the…

Q: Find the compound amount and the interest earned when the given investment has continuous…

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Q: cot x csc x - 1 csc x + 1 cot x L.S. R.S.

A: We have to prove that cot xcsc x+1=csc x-1cot x.

Q: 3. Evaluate the following limits, if they exist: 1 (a) lim 1 +3 2x x→-0

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Q: Find the standard form of the equation of the parabola with the given characteristic and vertex at…

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Q: An electrical device was measured for its current, I fluctuates at a number of different values of…

A: Given the data in the table of the current flowing at time t.   ts 0.6 1.1 1.5 1.9 IA -0.62Id…

Q: Consider the parameterization of the unit circle given by z = cos(3t2 – t), y = sin(3t2 – t) for t…

A: Since you have posted a question with multiple subparts, we will solve first three sub parts for…

Q: 24. (EXERCISE) Consider the function f(x) = 3x* – 20x' + 42.x² – 36x .

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Q: 9.9 Suppose there exists No such that sn No. (a) Prove that if lim sn = +0, then lim tn = +0. (b)…

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Q: Find the future value of the ordinary annuity. Interest is compounded annually, unless otherwise…

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Q: 13. Which of the following statements is/are false? I. En1 ar"-1 is divergent if |r| > 1 convergent…

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Q: Determine the convergence or divergence of the series. Σ E cos(nx) cos(nt) n = 1 converges diverges

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Q: Using Gauss Mean Value Theorem, find 1 sin (7/6 + 2e") d0. (Ans. 1/4)

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Q: Representing a function as a Power Series. Suppose that we want to represent the function f(x) =…

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Q: 12.4 Show lim sup(sn +tn) N} N}+sup{tn :n > N}.

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Q: In a ring R without unity, show that every idempotent is a zero divisor but is not nilpotent.

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Q: You are considering two job offers: Job 1 is a full-time position that pays $58,000 annually and Job…

A: We will use the basic knowledge of arithmetic to answer this question completely and correctly.

Q: 15. Given the graph of f (x). With the area of region A equal to 7/3, region B is 34/3 and region C…

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Q: 6. Consider the following linear system of differential equations: dY -1 5 Y. (a) Determine the…

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Q: The limit 1 log n y = lim [1 + n00 n = 0.57721 56649 01532 86060 65120... is called Euler's constant…

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Q: Let g be a function and F be a vector field, and assume that g and F are defined on a simple region…

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Q: A y y = x2 + 1 y = x -1 2

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Q: 2. Susan decides to open a math tutoring center. She found a nice office that she can lease for $400…

A: Susan's monthly income y can be represented as follows:

Q: (1). Find an elementary matrix E so that B = EA where %3D [1 0 B= |0 1 -5 16] 7 A=0 1 L-2 0 2 -5

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Q: example problem about Area Region Bounded by Different curves. Write the problems and the complete…

A: One example to find the area of the region enclosed by the curves. (a) y=ex, y=e6x, x=1

Q: y = x and y = x+2 Revolve the area about the x-axis. Using circular ring method, the volume of the…

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Q: Problem (i) Consider the normalized vector v in R and the permutation matrix P, respectively 0 1 0 0…

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

Random Access

Random access is generally known as direct access. Random access is the capability to have access to any item from a given population of elements at random. Sequential access is the direct opposite of random access. In random access, the elements can be retrieved irrespective of the location. In order to move from point A to Z,  you can just jump to point Z in random access system. The disk is an example of random access.