Which of the following expressions are equal to (2*) -2 O - (2')' (2-3)4 (2-1)* O (2-1)

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

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Q: Show that 1 Σ (z – n)2 cosec² (z) 8.

A: As we all know the theorem which states that, For z∈ℂ\ πℤ 1sinz=∑n=-∞∞-1nz-nπ=1z+2z∑n=1∞-1nz2-n2π2…

Q: If Z~N(0,1), calculate Pr(2.26 < Z < 2.89). You can use Excel. Round your answer to three decimal…

A: Solution: Let Z be the standard normal distribution.

Q: Find the product and addition of the approximate numbers x, = 32.452 and x, = 24.3595 all of whose…

A: x1=32.452 and x2=24.3595 To Find: a) Product and addition of the approximate numbers. b) Relative…

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

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Q: 9. Prove L'S 25+1 Cs+2)?(S-1)2. %3D

A: Consider F(s) = 2s+1(s+2)2(s-1)2                            (1) Let 2s+1(s+2)2(s-1)2 =…

Q: 2ア+ 2z+ 11 (2ェ+3) (z +4)

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Q: (b) Show that o = 2[Rx(0) - Rxx(0)] XX

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Q: Evaluate In x x (4 - In² x) - In 14- In² x | +C - 2 In 14-In² x | +C 12 -dx In | x (4- In²x) | +C In…

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Q: 1. tanosin20 = 4tan0 %3D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3 E in (1 -) -in2 , . =-In2 =1 k2 –1 k=2

A: We will  use the limit of partial sum

Q: 00 8tan-in Zn=1 n3D1 1+n2

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Q: Which of the followings are false? I. General term of {2,3,2,3,...} is an =;+(-)". . General term of…

A: The details solution is given bellow.

Q: 1 4 In x - In y

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Q: * :The nth term formula for { 1,0,1,0,... } is 1-(-1)" 2. an = A₂ = An خيار 2 1 + (−1)" 2.

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Q: to: explicitly state the te- Σ2/ n=1

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Q: ANSWER WITH SOLUTIONS 1. Express 11, 15, 20, 12, and 18 into sigma notation.

A: Using Sigma notation we can express 11 and 15 as follows:

Q: Prove the following equation : Cosh(3 x) = 4 cosh³(x) – 3cosh(x)

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Q: -In2 2e® cosh 0 do -In 4

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Q: الواجُب (x-1) (x+4)<o 2 )و - رصه - (

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Q: Pebermine x and such that -4 3 -4 -4 -3 4 -8 4 -4 -2 3. 3. OC

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Q: Express In (2) in the form a + ib. (Simplify your answer completely.) In(z) = BRITK In( 4√2 ) + 1 (…

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Q: 6-prove that the Sum of oots of th equation 2X+3X+5=0is=3 the multiple is I

A: Sum and product of roots of qudratic equation

Q: Show that 100 1 arctan(100) – arctan(2) + 1 1 < arctan(100) – arctan(2) + 1+ 1002 1+ k2 k=2 1+ 22

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Q: 12 Explain the difference between σ and σ and between μ and μz.

A: It is given that the symbol of population standard deviation and population mean. Here, need to…

Q: Evaluate (x + 5)(x − 1)(x − 2) (x - 1)(³) — 2(x − 1)(²) O A (x − 1)(³) + 2(x − 1)(²) (x − 1)(²) —…

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Q: 2л 4sin 0 d0=--- O a. 1 O b. -4 O c. 0 O d. 4

A: We have to find integral.

Q: Show that 100 1 arctan(100) – arctan(2) + 1 Σ 1+ k2 k=2 < arctan(100) - arctan(2) + 1+ 22 1+ 1002

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Q: sin(k/n). 1. cos(1) + 5/3. 2. cos(1) + 1/3. 3. cos(1) + 2/3 4. cos(1) – 1/3. O 1 O 2 O 4

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Q: cos(n") In(4) 1. 1 2. n In(n) n%3D 6n + 3 (-1)" n=1 1 4. n - 5 3.

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Q: Evaluate dz (z–2)5/3 O -4/3 O 4/3 O Divergent

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Q: What is the value of 1)- 168 in x² Inx dir = f(x) ( (1/4) Inx-8) + C? 03

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Q: What is ! 2 ? tanh -1 o 0.549 + 1.571i o 0.549 - 1.571i O -0.549 - 1.571i O -0.549 + 1.571i

A: Here we find value of arctanh(2) =?  We know that arctanh(z) = (1/2) [log(1+z/1-z)]

Q: 3 1 Without using a calculator, prove that 2 4

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Q: 1. Find r (-) and r (-)

A: We can answer first question as per the honor policy. Please resubmit the other question on by one…

Q: 2. Show that coo(N) co(N) § c(N) Ę e^(N).

A: To prove that c00N⊂c0N⊂cN⊂l∞N. By definition, c00=x∈lp|all but finitely many xj's are zeroc=x∈l∞|xj…

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: O None of these Oe equal to the above Vdows O is equal to the above O is equal to the above 434

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Q: n(n – 1) is O(n²). 2 Show that

A: f(n) is O(g(n)) if there exist positive constants c and k such that f(n)≤c g(n) whenever n&gt;k.…

Q: expressed

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Q: neN JS E (4i +1) = 2n2 + 3n +1 n(n +1) . neN JI

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Q: 2. Calcula con precisión n = 2 %3D x2 - 4x + 3.99999 = 0

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Q: Find the nth term of (a, b, a, b ... ), (a) and .(b) are constants 1-(-1)" 1- (−1)n+1 -[-D" + 2 2 a…

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Q: 3 Compute etA for 3 3 4 A = 1 1 -1 -3 -2

A: Use the Taylor series of ex to solve the expression. Convert the equation into matrix equation and…

Q: solve. write your anS w ers in suentific (-3.4 x 10*) + (5.2 x 10*) © (6.812 x 102") + (4. 3 x 102)…

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Q: Evaluate tan xdx O -V2 0 2 In 못 2 In 꽃 O -2 1n v2

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Q: 8. f(x) %3D In (3х * — 5х?)5

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Q: #02:-Discuss all the cases of reducible to hamggenou D.E form.

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Q: Prove that

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Q: How we dlittiluwrI x fasy)- z=0 The answer is af DE Kindly gue me alelail.

A: given function is                                                        f(x, y)-z=0 now…