Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works if and only if either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another and P(component i works) = 0.84 for i = 1, 2 and = 0.81 for i = 3, 4, calculate P(system works). (Round your answer to four decimal places.) 1 2 3 4

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A: We have to find the sum of the series

Q: (b) Find the sum of each of the following series. 00 (i) > nx", , |x| < 1 n = 1 (ii) Σ 3n 8.

A: i).  To determine the sum of infinite series given by; ∑n=1∞nxn,|x|&lt;1 Consider the series…

Q: B. Determine the sum of the given series. 3n+2 4 1. 2. 7n n=0 n² + 2n n=1

A: We determine the sum of the series   ∑n=0∞  3n+27n     2.∑n=1∞  4n2+2n

Q: Suppose that 7 and ) b = 2 and a1 = 9 and b 4, find the sum of the n=1 n=1 series: A. >(-8an + -…

A: SOLUTION-

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Q: Find the sum of the series: (- 1)"4" 3 (2n + 1)!

A: We know sin x = ∑n=0∞(-1)n x2n+1(2n+1)! Putting x=2, we get sin 2 = ∑n=0∞(-1)n 22n+1(2n+1)!

Q: When two capacitors having capacitances C1 and C2 farads are C¡C2 connected in series, their…

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Q: Suppose that an = bn = - 1 and a1 5 and b1 = - 6 , find the sum of the 2 and n=1 n=1 series: 00 А. >…

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Q: Find the sum of the series 3n-1 7n n=1

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Q: When two capacitors having capacitances C1 and C2 farads are CC2 C1+ C2 connected in series, their…

A: ∂C∂C1=(C1+C2)C2+C1C2(C1+C2)2…

Q: If z is a variable, then the infinite series of the form is called n Σ" =a + a₁ + ª₂x² + ... + ª₂x”…

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Q: uppose that an 9 and - 6 and a1 = 5 and b1 = - 1, find the sum of the series: %3D E(- 5an + 7bn) n=1…

A: We have to solve

Q: a) Find A and B such that (12)* (4*+1_3k+1)(4* _3k) 3k A 4k_3k 3kB 4k+1_3k+1 b) Use the result in…

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Q: Find the sum of the series. 1 + ח2,"(1-)5 Σ 22n + 1(2n n = 0 + 1)!

A: We have,   It is known that,

Q: Find the sum of the series. (-1)" Σ 72n+1 (2n+1)! n = 0 8

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Q: Find the sum of the series. Σ (-1)" 32n+1 (2n+1) n = 0

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Q: Find the sum of the series: 6 (n – 2)(n + 1) or conclude that it diverges. A) A B) C) D) 0.

A: option (C)  is correct see below the answer and calculation

Q: The sum of the series 2n =0 (2n + 1)3" is Select one: O a. b. C. d. Non of them е. TT 2/3

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Q: When two capacitors having capacitances C1 and C2 farads are connected in series, their capacitance…

A: Here we have C=C1C2C1+C2 ......................... (1)

Q: Find the sum of the series: 3n+2 5n-3 n=3

A: The given series is an infinte geometric series whose sum is S=a/1-r,r&lt;1. See 2nd,3rd step.

Q: By rewriting the summation of the power series E (n- 1)C,x" + E, 2nC,x"-1 +E C, xn+1 = 0, we obtain:…

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Q: When two capacitors having capacitances C1 and C2 farads are C,C2 C1 + C2 connected in series, their…

A: Given, C=C1C2C1+C2 Differentiating partially to the given equation with respect to c1 then we get,…

Q: Find the first five terms and the Sn of each of the defined sequence. 1. 3n+1 3. n2 +5n +6 mot 3-2n…

A: Since you only ask questions 2,3&amp;4 so not answer question 1 Given Sn of the each the defined…

Q: Σ Suppose that an 8 and > bn - 2 and a1 9 and b1 = 1, find the sum of the series: %3D n=1 n=1 E(-…

A: Given ∑n=1∞an=8∑n=1∞bn=−2Also, a1=9,b1=1

Q: The following series 3 2n- 4n+1 3n n=1

A: Series

Q: Consider the alternating series (-1)"bn with n=0 1 bn 9+ 5n2

A: Given alternating series ∑n =0∞(-1)n bn where bn =19 + 5n2 Alternate series test. If two conditions…

Q: The nth partial sum of the series a, is given by n=1 3 S, = 6 – n2 %3D a4 =

A: Given that :- The nth partial sum of the series  S = 6 - (3/n2).  We find  , an   by (  Sn  -  Sn-1…

Q: Consider the system of components connected as in the accompanying picture. Components 1 and 2 are…

A: Follow the handwritten solution

Q: Find the sum of the series. (-1)"n2n 42n(2n)! 00 Σ n = 0

A: see 2nd step.

Q: ,5n-3 Find the sum of the series: n! 0-

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Q: Consider the system of components connected as in the accompanying picture. Components 1 and 2 are…

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Q: The sum of the series (-1)" (37)2n+1 - is 22n+1 (2n + 1)! n=1

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Q: ) Find the Sun mf the series: E ) = (3 -4)+ (¾- °k) +".

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Q: a) Find A and B such that (12)* (4k+1_3k+1)(4* _3k) 3* A + 4k _3k 3*B 4k+1_3k+1 b) Use the result in…

A: The solution to the given question is given below

Q: The following series 3n-4" 5n+1 n=0

A: Given series :

Q: b) Given an RL circuit with the equation 5 UTM & UTM where L is the inductance, R is the resistance…

A:

Q: Find the sum of the series. (-1)" 82n+1 (2n+1) n = 0

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Q: Find the sum of the series: 00 6 n(n + 3) n=2 or conclude that it diverges. 13 A) 6 - B) 13 C) 3 D)…

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Q: Consider the system of components connected as in the accompanying picture. Components 1 and 2 are…

A: Answer:-----.                 Date:----4/10/2021

Q: Consider the system of components connected as in the accompanying picture. Components 1 and 2 are…

A: Given: The probability that a component works is P(component works)=0.86. It can be observed from…

Q: The series 1 is

A: Correct answer is (a)  Explanation:

Q: Consider the system of components connected as in the accompanying picture. Components 1 and 2 are…

A:

Q: When two capacitors having capacitances C1 and C2 farads are CC2 connected in series, their…

A:

Q: Find the Power series of D.E :- y" + Y'=o

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A: Given, ∑k=5∞24k2-1  We have to find the sum of series.

Q: Express the two sequence {rn} and {yn} in a closed form, satisfying the following condition In+1 =…

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A:

Q: Find the fourth partial sum of the series. (-1)k+1 7k-1 k=1

A:

Q: When two capacitors having capacitances C1 and C2 farads are C1C2 connected in series, their…

A:

Q: Find the sum of the series. Σ (-1)"72n 32n(2n)! n = 0

A: It is given that ∑n=0∞ -1nπ2n32n2n!. We have to find the sum of the given series. For this, we have…