Let the sequence (xn) be recursively defined by x1 = √2 and xn+1 = √√2+xn, n ≥ 1. Show that (xn) converges and evaluate its limit.

Q: In Problems 1–18 solve each differential equation by variation of parameters.y''+3y'+2y=sin(e^x)

A: Let's consider the given differential equation  y″+3y′+2y=sin(ex) The auxiliary equation of the this…

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A: Since you have posted a question with multiple sub parts, we will provide the solution only for the…

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A: (a) Given function is  then…

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A: (.) The given function is,         (.) The limit of a function  at point  exists if,        where,…

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A: Step 1:     Step 2: Step 3: Step 4:

Q: Consider the following difference equation of Riccati type Yn+1Yn Yn+1 + 3y = -1. (i) Find the…

A: Given the difference equation yn+1yn−yn+1+3yn=−1 of Riccati type.We need to find the general…

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A: To calculate the principal balance at the end of 3 years, use the following formula:A = P(1 +…

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Q: 2. A tree contains a known percentage po of a radioactive substance with half-life 7. When the tree…

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Q: Amita pays $0.78 to play a game at a local fair that involves receiving the number of quarters that…

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Q: Is (4, 5) a solution to the equation y = 8x?   yes no Submit

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Q: D I= dQ dt If the circuit resistance is zero, then the charge Q and the current I in the circuit…

A: Given differential equation , henry and farad.We have to solve the given differential equation.

Q: 1. For the following linear program, maximize 7x1 +12x2 +9x3 subject to 1+3x2+3x34, 2x1 +3x2+2x3≤5,…

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Q: Date 2/13/24 Percentages assignment Solve each problem. 1) What percent of 17 is 8? 17X=8 17 0…

A: 1) What percent of 17 is 8?8 / 17 = 0.47058823529411764 * 100 = 47.06% 2) 23% of what is 39?0.23 *…

Q: question is attached in ss thanks for help appreciaed it aweitaweitaowi etawe otiawjet oawietjia…

A: The objective of this question is to find the absolute minimum value of the function f(x) = 8x^2 -…

Q: 1. The matrix A = 1 1 1 團 represents a linear function T: R² → R² which reflects over the line y=x.…

A: Explanation:While the image states that the matrix A represents a reflection over the line y =…

Q: =-- 3 s(x) = -x 12 ·(2-3) x+2 Draw or add images here H>> I Question Details Done 2. 1 Find the…

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Q: Prove that Va ЄR, Vn ЄN, [0 < a < 1] ⇒ a" ≤1 using mathematical induction. Justify every step.)

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: (a) A 0 1 and b= 23 (b) A= and b= 4 00 4 6 Compute the projection matrices P₁ and P2 onto the column…

A: (a) Here given that here we have to find out the projection matrix onto the column space of A Let,…

Q: Verify Stokes' theorem for the helicoid (1, 0) = First, compute the surface integral: = (VF)…

A: Given surface is helicoid whose vector parametric equation is \)" data-mce-style="cursor:…

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A: Let's delve deeper into the decision-making process of the oil company, exploring the intricacies of…

Q: Consider the following pair of graphs: นา 14 15 V2 If the given graphs are isomorphic, then identify…

A: Two graphs G and H are said to be isomorphic if there exists a bijection between the vertex sets of…

Q: Apply the Inverse Matrix theorem to find the inverse A¯ 1 of the given matrix. 402 -3-54 4-11 Find…

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Q: 4.1.2 Intro To Real Analysis

A: ANSWER : ( a ) ​​  ANSWER : ( b ) ​​

Q: please answer 2.9b

A: Step 1: Base case: m=d If m=d, then μt​ is a polynomial in t of degree d. Since {Xt​} is stationary…

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A: The temperature of the room is The temperature of the dead body when it is discovered is One hour…

Q: A sequence bo, b1, b2, ... is defined by letting bo = 5 and b = 4+bk-1 for each integer k> 1. Show…

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Q: デジタル形式で段階的に解決 ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT 3. A cylinder of 2 feet in diameter…

A: RC CircuitsAn RC circuit consists of a resistor (R) and a capacitor (C) connected in series or…

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Q: Find the amount of periodic payment necessary for the deposit to a sinking fund. (Round your answer…

A: Step 1: The calculation of the periodic payment AB1future value $ 45,000.00 2Rate7%3Time (…

Q: Need help with these two Intro to Elementary Number Theory Homework Problems.

A: Step 1We know that any solution (x) to the congruence \(x^{30} \equiv 1 \pmod{n}\) must satisfy…

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Q: If xr = cos(л/2") + i sin (л/2"), Show that X1X2X3X4.....Xn = COS lim x1x2x3x4......xn= s [π (1 −…

A: We shall first express xr in terms of e raised to a power involving π and 2r. Then, we'll use the…

Q: 5.26. Find the intrinsic equations of the hypocycloid x = rain ()] (ro-r₁) cos Ans. + A2 K2B2 - 1…

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Q: If ​$8000 is invested at 8​% compounded​ continuously, what is the amount after 8 years?

A: The objective of this question is to calculate the future value of an investment compounded…

Q: Prove that if n = pa.... par where primes, then proof. pa where p; (n)b(n) = r² (1 - p).. (1-prar-…

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Q: 3. (a) (i) State the Handshaking Lemma. (ii) In each of the following cases, either draw a picture…

A: We have to state the Handshaking Lemma and draw the graph  matching the given information.

Q: Find the series radius and interval of colivergence, then identify the Value of X tor √ 1²+3

A: To use the Leibniz test for convergence, we need to verify if the series ∑n=0∞(−1)nxnn2+3satisfies…

Q: Please help me with these questions. I am having trouble understanding what to do. Please show all…

A: The objective of the question is to find the largest set of values n for which 2n &lt; n! and to…

Q: oll Find the optimal solution for the Following linear programming model Using Big-M- method) Max. Z…

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Q: Please help me with these questions. I am having trouble understanding what to do Thank you

A: The subtree of a tree rooted at a given node is the tree consisting of the given node and its…

Q: Solve the trigonometric equation. Display ALL answer in degrees. Show step by step solution 2 cos² x…

A: We factorize the expression and then answer the question

Q: Please help me with these two questions. I am having trouble understanding what to do. Please show…

A: The objective of the question is two-fold. First, we need to find the largest set of values n for…

Q: In Z, find all generators of the subgroup &lt;10&gt;  &lt;12&gt;.

A: The objective of the question is to find all generators of the subgroup in the set of integers…

Q: a. Select all the statements below that describe eigenvectors for the linear transformation T. There…

A: from domain we have seen that and and form codomain we have seen that  reflect each of domain with…

Q: Question: see atached image Pls help w this ques, well explianed steps, thanks!

A: I have here the verification that shows the quartic equation we have above really has roots…