for Ea, , if lim a,=0 then the root test fails n = 1 Select one: O True 18 O False

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A: If h(t)=tn, where n is a natural number then our aim is to tell the valueof h'(t)=?

Q: Q3 Prove that In Coth x 1

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A: a)  Given : Total number of words =11 A repeated 2 times M repeated 2 times  T repeated 2 times…

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Q: If ex + 5 = 4, then In e + 5 = | 1.38629 %3D

A: Recall:   (ln mn)= n ln(m)     ln(2) = 0.6931

Q: 2. The adjacent is 3, the opposite is 4 and the hypotenuse is 5 as labelled in relation to ZA. Which…

A: Given,           The adjacent is 3, the opposite is 4 and the hypotenuse is 5.

Q: 1. If CW= 15, find CXand XW. 2. If BX= 8, find BY and XY. 3. If XZ 3, find AXand AZ

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A: We are asked to find the length of the base from the ladder to building

Q: dy 5-9у2

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Q: Select the correct answer. 12 , 30 lim Sn? what is the value of noo If O A. 24 O B. 50 OC. 84 OD. 75

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Q: If lim n→∞ = 1ª + 2ª + + na 1 (n + 1)ª − ¹ ((na + 1) + (na + 2) + + (na + n)) 1 60' (a) 7 (c) -7 ...…

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Q: Which of the following is NOT true about the DE: 6xr?ydx+2x³dy=0?

A:

Q: If x-Exp(5), then M,(t) is

A: Given,X~Exp(5)f(x)=5e-5x  ;   x≥0

Q: (a) Suppose X~ Uniform(0,2). Use the definitions to find E[X] and Var(X).

A: GivenSuppose X~Uniform 0,  2. Use the definitions to find       Ex  and   Var X

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A: Given: The marginal cost function is, MC=x2-16x+20 . The marginal revenue is, MR=20-2x . Here, x is…

Q: For a E R and n E N, lim, O (A) True. O (B) False. a" = 0 if | a|> 1. %3D 72 O4

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Q: 200 ra, is 25a 200 200 Let (1+ x+ x*) = Ïq,x and a = Ea, , then value of

A: We will use basic trics to arrive at the solution

Q: of Voots of the equation. 2x+3X+5=0 is The muttiple is Ę 2. 3 Prove That The sum

A: Use the formula for the sum and product of the roots of a quadratic equation.

Q: Arg (zz) = 0, whenever :+ 0

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Q: MOse the intermediate value Fun ction to Show that ex=3X Somewhere between X=0 and X=1.

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Q: Suppose m min{2x for x e [3, 4]}, then the value of m is Answer:

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Q: 2. Find p and q such that |5x - 2| ≤4 implies Ps 23x-4 5 ≤q.

A: Given |5x-2|≤4

Q: O Fimd the that is boun ded between fe)= 2-x ond gla) = 4-x² ef Hhe regitn glo) = 4- x²

A: Toipc-Area under the curve

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A: We have to find the following conditions according to the given information

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Q: Given: <1 = <2;<4=<5 What can you prove about PQ and RSI Be prepared to give your…

A: Given: ∠1=∠2, ∠4=∠5 We know that in a triangle if two angles are equal then there corresponding…

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Q: Let X ∼ Geom(p), let n be a non-negative integer, and let Y ∼ Bin(n, p). Show that P(X = n) =…

A: From the given information, Consider, X,Y are to be two random variable where x follows geometric…

Q: Evaluate In r dydx y – K + 13

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Q: In ALMN, LN is extended through point N to point O, m/NLM = (x – 4)°, mZMNO = (4x – 17)°, and m/LMN…

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Q: Show that yn ez, if n³+5 is odd then n is even For the toolbar, press ALT+F10 (PC) or ALT+FN+F10…

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Q: If, 0=330° then fromula tem o= defenmihe the u lue of tm % .

A: we know that tan360-θ=-tanθ so, tan330∘=tan360∘-30∘=-tan30∘…

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Q: Given that -ax- Y(x): exp %3D 2 a) Calculate for n even

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: FOR N=195, by fermat's theorem an-2 =

A: Given: FOR N=195, by Fermat's theorem an-2

Q: Supposernc N and n 4 0 Then show that rn is positive if and only if r is positive

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Q: Prove false by creating a counterexample: P(AUB) S 9(A) U 9(B).

A:

Q: if it was rexityi+zkand ger)= where r-1F/ The value of vq she

A: The detailed solution is given below Thank you

Q: 3 Reverse the order of whyndien of ? X (6x-2) dyds x- 4

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Q: If var(e) → 0 as n → 0, then 8 is said to be

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Q: ) Evaluate, using Cauchy formula C:2- (a) zz-l dz dz (6) ( e

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Q: By 2 Cas X the Same. way prove that

A: Prove that J-12x=2πx cosx

Q: x | X> 3) =? and E [X | X> 3] =?

A: X ∼ exp (λ)  having pdf  f(x)=λe-λx      x<0

Q: 3, 5x 60(x2 + *), 3 b) Y = In 7.

A:

Q: Suppose we want to prove the statement Vx E N, P(x) → Q(x + 1). Select the assumption we should make…

A: Assume that P(x) is true.

Q: Show that if Y = ax+ b (a ≠ O),then Corr(X, Y) =+1or -1. Under what conditions will p =+1?

A: Assume that X has has nonzero variance, since otherwise the correlation coefficient would be 0,…

Q: Q4: If z = tan 1),ti

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Q: BC is one side of a regular n-gon. The sides next to BC are extended to meet at W. Find the measure…

A: The exterior angles of a regular n-gon are all 360n degrees. They form the base angles B and C of an…

Q: Obtain Llerf x; p). Hence deduce the value of Lierf (bx); pl.

A: