8 105 = 8 8 8+102 +. + %3D (1+r)' (1+r)² (1+r)³ ' (1+r)*

Q: 7. S(1)=3e cosh (In 2r) in two ways.

A:

Q: Σ (-1)"+1 Vn+ 1 η +1 n=1

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Q: السؤال 10 L(2– 3t) 2= 4. 6 6 S s2 4 12 18 .b O S s2 4 12 9 s² 3 C O4 4 6. s? 3d O 3. + 2.

A: We need to find the Laplace transform of 2-3t2 Now, we have an identity a-b2=a2+b2-2ab Using this we…

Q: P(z > c) = 0.6126

A: Let z be the standard normal variable with mean μ=0 and standard deviation σ=1 The value of c is,

Q: If L(4sin(3t) + 2cos(9t)) = 4AS³+Bs²+Cs+D (s²+9)(s²+81) the value of B is

A:

Q: Determine whether or not the infinite series below converges.

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

Q: For this problem, involving a weighted die. assume that all the odd numbers are equally likely, all…

A:

Q: 27. P (Z> z) = 0.0239 %3D

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 0.064. At a = 0.005, is there enough evidence to reject the claim?

A: HERE GIVEN , sample variance  = s2 =  0.064 sample size  n = 28  significance level = 0.005

Q: 2. f(x) = In 3r on [1,4 with n =5

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Q: Show that inf n e N} = 0. n1/3

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Q: S 2³x dx = 0 23x+1 3x+1 23x In 2 O O O + C + C 23x + C In 8 2³x In 2 + C

A:

Q: Q5 Show that EL >². n n =1

A: Consider that x is a random variable. From the formula of population variance;

Q: 27) 5 1 dx √x²- A) in (x+2+25+C In 5+X In +C 10 5-x nt B) +C X+5 D) (x+12-25374c In +C

A:

Q: What is the equivalent z-score of x = 13 if u = 10 and o = 2? * %3D 1.5 O -1.5 2.5 O -2.5

A: As per the guidelines we are allowed to solve maximum of 1 question   Given: x=13μ=10σ=2

Q: (3) Let X = n(u, 4) and Var(2x) = E(4 – 7x) find µ.

A: Given X is normal distribution with  mean =μVaraince σ2=4Standard deviation =4=2 If X has Variance…

Q: 6s – 5 4s +7 3s – 2 s +8s+ 25 ) s+7 s(s² – 3s – 10) naL 3²L² +n?n?

A:

Q: (-1)^-1 00 16. n=1 vn+10

A:

Q: P(z -1.16) = P(z 2.61) = P(0 < z < 2.32)

A: We will use Standard Normal table to find the required probabilities.

Q: 5) Find the total Ħ of díagonals for af )n=5 b)n=10

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Q: 1+ K(s+4) %3D s(s+2)(s+5) K = - 3+75²+10s %3D s+4

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Q: 4. f(n)= (3n- 2)² 5. f(n) = 220-1 %3D

A:

Q: Find L[cosh 7t] s2-49 7 s2+49 s2+49 7 2 O O O C

A:

Q: ERCISE # 3 Ferentiation. 11. 2xy - 3y3x + x²y² – 2 = 0 SIA ITY ON

A:

Q: Find P( -2.64 < Z < 0.43): Using table E " 0.7733 O 0.3377 O 0.3773 0.7337

A: Here, we need to find out that the probability between two z-scores i.e.  P( -2.64 &lt; z &lt; 0.43…

Q: 1 Find L-! 2(s – 1)

A:

Q: If pcr)-4r+4. and pE3)= 1, r-A What is the value of A?

A:

Q: X~N(253, 39).  Find P(260< X < 340).  (Round to 3 decimal places.)

A:

Q: 49" + 16n – 1 divided by 64, Vn E N+ -

A:

Q: 2s+2 ds = In\s| – In|s + 2| + C s+3s2+2s

A: Given :       ∫2s+2s3+3s2+2sds=ln s-lns+2+C

Q: 4 The value of 3n2 will be + 6n .... n=1

A: We use partial fraction method to find the required sum of the series.

Q: 1.N= 2500, e = 0.05 2.N= 486, e = 0.01 3. N=930, e = 0.1 %3D %3D

A: Population is a set of elements or subjects for which the study is conducted and a researchers want…

Q: 1. If Beta = 0.26, what is the power of the test? * %3D O 0.74 O0.84 O 0.26 O 1-alpha

A: According to the provided information, β=0.26

Q: If Z~N(0,1), calculate Pr(2.73 < Z < 2.87). You can use Excel. Round your answer to three decimal…

A: The required probability is given as P(2.73&lt;Z&lt;2.87)=P(Z&gt;2.73)-P(Z&gt;2.83)…

Q: Name the two lines and the transversal that form each pair of angles.

A: A transversal is defined as a line that cuts through two lines.

Q: x+4 7. S (x-1)(x+3) dx = a. In|x – 1| +-In|x + 3| + C 4 4 b. In|x – 1| -In|x + 3| + C 4

A:

Q: 2と e こeo437 RK = k(-n.65)

A: To solve this problem, first we should bring all the terms with k to one side of the equation and…

Q: 8 4 SS e*dædy O e16 – 1 e16 + 1 *+1 el6 2 O 2e16 – 1 O 2e16 +1 O el6

A:

Q: What is the value of Z if only 8.08​% of all possible​ Z-values are​ larger?

A: The standard normal variate is calculated when a random variable follows normal distribution in…

Q: true or false. 3Fn > Fn+3 for n = 3

A: Answer is True

Q: P(Z > -2.53) =? 0.9943 O 0.0057 O -0.4943 0.5057

A:

Q: 7. Find k so that dx ke + C.

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Q: Express in p/q form 1) i) 0.005 ( bar for 005) ii) 1.3 ( bar for 3) iii) 4.78 ( bar for 8

A:

Q: 2-Find L(e-3tsin2t)

A: Given function is, f(t)=12e-3tsin2t Now, from the property of Laplace transformation we get, L(…

Q: For n EN, Dn = n! n k=0 (-1)k k! Thus, Dn n!

A: Explanation of the answer is as follows

Q: Evaluate L-tcos 5t. 10s А. (s +25 )* s2 - 25 - (s² +25)* 25s C. - (s° +5)* s2 -5 D. (s* +5) 50s E.…

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Q: - 3x Suppose S(x) = (;) ". Evaluate: - 3x +C 3. In (5) A - 3x 3 B +C In (5) – 3x · In (5) +C 3 – 3x…

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Q: y' + 0.2y = 0, y(0) = 5, h = 0.2 %3D 4.0822 4.0832 4.0951 4.0936

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Q: n +1 5n An bn n + 2' 4n2 – 3' { 400/n -1/(400n2) n even { Į 7 n/(1+n²) 1 901 п оdd Cn dn

A:

Q: 8. f(x) %3D In (3х * — 5х?)5

A: