If we are to rearrange the letters of the word ENTER wherein the two E's are to be kept together, we have a total of Blank 1 ways of doing so.

Q: Integrate the following. 2. S

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Q: model above to answer the followi: enthesis):

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at…

Q: if x~unif. (0,2),find the U.b. of p(lx - mul>= 2)

A: Given X~Unif(0,2) Result: if X~unif(a,b) then  Mean=(a+b)/2 Variance=(b-a)2/12

Q: If Z~N(0,1), calculate Pr(1.55 < Z < 2.65). You can use Excel. Round your answer to three decimal…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: a=t). CTaylon Serie) 2-X Ln +x) (MacLurinSeries

A: We need to find the Taylor series of f(x)=12-x at a=1. Taylor series of function fx at a is defined…

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: (as (4) = Solve for x on To, ZC)

A: we have to solve the following

Q: Use Euler’s Formula to evaluate eip./2

A: Euler's Formula: eiθ=cosθ+isinθ

Q: 1. Compute P(8), and find the exact values of the six circular functions given that e =- 135°. %3D

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Q: Construct the fundamertal soluton G(x, E) -?G= S(x- E) X, E ER? with, as x -E00 or

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Q: O 4 feniz la (1AVex), show that

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Q: Use improved Euler method to find yo.75) if E= xy +1 take h=0.25

A: Introduction: The formula for improved Euler method is given by,…

Q: Find the length of the curve y = In(e - 1) – In(e + 1), In 2 sxsIn 3.

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Q: Compute the following. S(24x²+20)(2x³+5x +11) dx .3

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Q: Find ln(9.2) from ln(9.0) = 2.1972 and ln(9.5) = 2.2513 by linear interpolation and get the %error.

A: We need to find ln(9.2)

Q: of the above.

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Q: The numerical value of | In (x) dr is equal to .......

A: Solve the following

Q: Find v' ( + 2) dt. Show the computations that lead to your answer.

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Q: By Demoiver's theoren Find (!+ ES) (要姓) 2)

A: if r(cosθ + isinθ) is a complex number , Then by De Moivre's Theorem         rcosθ + isinθn =…

Q: EX#3: A baker added enough chips to the dough so that only 1% of the cookies will contain no chips.…

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Q: Let X ~ Gamma (8, 2) . Then E |[X²] is equal to

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Q: nich of the following is EBNGF?

A: In this question, we used the fig and portion of the lines in form of vector. here we determine the…

Q: Evaluate e dt 0.2

A: We have to use standard gamma integration here.

Q: a. Inside one leaf of the three-leaved rose *= cos30

A: According to guidelines we solve one question. Here  we solved (a). We have to find area bounded by…

Q: ues of M = 1

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Q: y'= 2. Ty- dExouine the ad unigeness exiDtnce ot the Jolution of the,equotion sotistying the grn=2…

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Q: Prove the following + if a Ez then 4 is

A: Divisibility is the basis of the theory of numbers. A number is referred to be divisible by another…

Q: For Problems 9 and 10, prove or disprove the following. 9. ez = ez 10. Ln z = In Z

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Q: that det S E

A: Prove that ff is an isometry as,

Q: by

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Q: The concepts and methods of solving linear ODES of order extend hicely to linear ODES of higher…

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

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Q: 8. If l is the output for Carmichael's function machine shown at right, how can you determine what…

A: Since the output for Carmichael's function machine is 1. Equate x2+2x+1 to the output value of 1 and…

Q: If E(X) = 17, E(X2) = 298, find a lower bound for P(10 < X < 24) Please provide your working and…

A: From the provided information, E(X) = 17 E(X2) = 298

Q: c). Invest diFrgate whether the given en equation is homogene eous dy 2. oxy

A: A first order differential equation is homogeneous when it can be written as a function of y/x, that…

Q: Suppose P(t)represents the population of a certain mosquito colony, where tt is measured in days.…

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

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Q: Suppose P(t) represents the population of a certain mosquito colony, where tt is measured in days.…

A: Given p(t) represents the population of a certain mosquito colony Given initial population P(0)=574…

Q: 4 In(t) dt

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Q: The series 3i+ 6i+ 9i+ 12i+... diverges because

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Q: If [ In(ax)dx = 3, then a %3D 1

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Q: Suppose P(t) represents the population of a certain mosquito colony, where tt is measured in days.…

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Q: Suppose that the populations of two species interact according to the relationships below. Let S be…

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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: SOLVE FOR THE FOLLOWING HOMO06 EneOus oDE

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Q: We conclude that: for every additional distress input, the brain activity increases by 0.061 units…

A: Answer:----.               Date:----6/10/2021 since slope is change in dependent variable with 1…

Q: Question 6 Compute )

A: This is the notation used for combinations and the combination is calculated asnCr=nr=n!n-r!   r!

Q: Co

A: Given that: The Taylor series for f(x) = ln (x) at c = 3 is ∑k =0∞ ck ( x - 3)k .

Q: Compute the following. π/4 | 7sin(x)+12cos(4x)dx n/6

A: Given f(x) = 7 sin(x)+12 cos(4x) Limits are π/6&lt;x&lt;π/4

Q: 2) Evaluate each of the following. Show your work. pIn(3) e2t +5 dt et a)

A: Given:        (a): ∫0ln(3)e2t+5etdt