Evaluate L{1³e e3i+S,

Q: (55) Let X = P(1) and E(3x) = E(2– 6x) find 2.

A: It is given that, X~P(λ) Then, E(X)=λ

Q: x2+1 =0 Has soluion in R

A: Solution:

Q: 1. Find the indicted term: an = (3n+ 2)²; a6

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Q: Evaluate: S"xvx – 1dx Oa 을53-11- 5-1 - 1) – 15 – 1] а. Ob. O b. 2[5 - 1] + [5 – 1] 200 3 272 d. 15 O…

A: The integration of the integral x√(x-1) limit from 1 to 5.

Q: 1 Show that 2-* d.x 2 In 2

A: We can show the answer in the following steps.

Q: Zn=1

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Q: Show that D13 is isomorphic to Inn(D13).

A: Given the Dihedral group D13. We have to check this group is isomorphic to Inn(D13).

Q: 3. Given n > 1, let S = E-1: Show that S, is not k=1 _k° an integer.

A: We are given that   Sn = ∑k=1n1/k   and n>1              ..(i) We have to show that Sn  is not an…

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

A: We will  use the limit of partial sum

Q: Min. z = 4x1+3x2 s.t. 5x1 + 3x2 2 15 4x1 + 2x2 < 16 X1 20,x2 2 1

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Q: 10 3. Prove that the L{10e2} = s-2

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Q: solve for t

A: Given logarithmic equation is : lnt-2=ln8-lnt We know that,…

Q: Σ 9n n = 1 Identify an-

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Q: -In2 2e® cosh 0 do -In 4

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Q: 5. Expand the following: 4 EW:Xi= W:XI= i=1

A: Given that,

Q: -ST In 0.2 %D 1-8

A: To solve the equation for δ, first we remove square root by squaring both sides and then get an…

Q: 1) Evalúe a) csch (In 3) b) cosh (0)

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Q: 2. Define Ej where the reactor rise time of the first batch is less than 55 min. and E2 where the…

A: Given: E1=The reactor rise time of the first batch (t&lt;55)E2=The reactor rise time of the second…

Q: Theorem = 7 K 51 M 25

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Q: 1337 i+1` Compute ()

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Q: nx) in the E 2n is

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Q: 23 1 dr Evaluate - Express your answers in the form: Axm + Br" + DxP.

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Q: Find FSI = ? Fn = 15 -55 2 V5

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

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Q: Consider the following LP Min z = 3x, + 2.x, +7x, s.t - x, + X, =10 -2x, + x, - x, <-10 *,X,,x, 2 0…

A: Hi! As per norms, we will be answering the first question. If you need an answer to others then…

Q: 5 In (x°); xo =1

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Q: 15. prove that L. d= nd(n)/2

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Q: Find the value of S in (3A +4Si)(6-7i) = 3+5i

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Q: 9 Find A and A by Hamilt on Hheoren For A=|° E12s -75 -IS

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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: 9 /Find A and A by Hamilt on Hheorem for A= E125 -75 -IS

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Q: = o sdue the second solution of the Qifferentiol equotion with the help of Abel formula yu-27y'+d'y=

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Q: Find if y = [In(e* + 1) + ešin #]³. Do not simplify.

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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: Determine the, 5 a.) E [3xyi - 10] |=1

A: Sum

Q: solve for the value of i + = In 1 In e -1

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Q: Evaluate the following. In(eº) %3D =

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Q: 2. (a) Evaluate e²-dr, where a > 0.

A: Let, I=∫0∞e-x2-a2x2dxI=∫0∞e-x2e-a2x2dx Let F(x,a)=e-x2-a2x2DaF=-2ax2e-x2-a2x2DxF=-2x+2a2x3e-x2-a2x2

Q: 5 In(x); xo = 1

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

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Q: + 4 (A In(x² + 4) + C B arctan() + C (C) jarctan(;) + C -arctan() D arctan () + C

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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: -In 3 e* In 2 V4 - e*

A: As per our guidelines we are supposed to answer only one question i.e. the first question. For the…

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

A: Explanation of the answer is as follows

Q: show that for positive epsilon, |x-4| |3x-12|<e

A: a⇔b implies if a holds then also b holds and vice versa.

Q: (-1) is where n is an integer. equal to the above e(1+2n)i where n is an integer. equal to the abov…

A: We know from eular formula e^iθ = cos θ + isin θ

Q: re + e Show that 1. 2

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Q: 7. E(-1)"- Vn +1 n=1

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Q: (3b) Let n E Z. Prove that if 3|(2n² + 1), then 3 ł n

A: