||x+y||?+||x-y||?= ||x|2+||y|² O 2(1시7+ \»1) o 2(||² - ||") .

Q: {X> 3} fX | {X> 3} (

A: X ∼ exp (λ) PX>xX>3=PX>xX>3   ; X>30                         ; otherwise

Q: In2 + 5n + 4 lim an = 1 %3D %3D 3n2 + 8n + 8 n-00 1n? In2 5n + 4

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Q: 8. Provide justification for you what will appear on the ex asked. (-1)" (2n)! (a) n=1 n4 – 4n -

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Q: Determine the particular solution1 1. (2-r) dr=rsin 0 de; when 0 0 and r 1

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A: Given  f(x)=2sin(x)+4cos(x)

Q: Show in detail that E [(X-µ)^n] = 0 for ∀n , where X~N (µ, σ²) and n≥3.

A: It is an important part of statistics. It is widely used.

Q: 3) FIND A PARTICULAR SOLUTION OF THE ODE y"+8y-20y = 2x +5 - e?X %3D

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Q: A. Homo ge neous Higher Ordered DE (0-704 - 310° ° + 103o² 1030² + 1500 - 216) y:0

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Q: using con |' 1 P+ (1)

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Q: f(1) = 3e " cosh (In 2r) -21

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Q: (b) Define fo = 0, f₁ = 1 and fn = fn-1 + fn-2 for n ≥2. Show that 3 fak for all k ≥ 0.

A: As per the guidelines we shall solve one question only as you have asked more than one different…

Q: 2. TER-1 to be, Hn E IN 1+r+4---+ 1-r Shoh that

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 1. y = In(x? – 7x) 2. y = x³ In(x? + 3) 3. y = In(x? – 1)³/4x + 2 4. y = In v4 – 3x -

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Expand x?y + 3y – 2 in powers of x + 1 and y – 2. (up to third degree terms).

A: Given :- The given expansion x2y + 3y-2 in powers of x+1 and y-2.

Q: - such that n >r > 1, (n – 1)! r!(n – 1 – r) n! r!(n – r)! n - r -

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Q: NEED ASAP PLS!! Use exact values whenever possible! 1. 3z^2-(5-j4)z+(2-j3)=0

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Q: What is the general rule to evaluate I N,where N is any positive

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Q: x2-2 x+1 x2 --x-In Ix+11 + C C. + x- In Ix+ 11+C x2 -x + In Ix + 11 + C 2 +x + In Ix+ 11 + C O B

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Q: Show that E [(X-µ)^n]=0 for ∀n, with X~N(µ, σ²) and n≥3 being odd numbers.

A: We need to show; E[(X-μ)n]=0 for ∀n and n≥3 being odd numberswhere;X~Normal(μ,σ2) That is, we need…

Q: -2x -dx - Evaluate (1-x)' 8 А. х* + 6х- In(1-х)' + 1-х 8 -(1-x)* +C С. х? +6х+ In(1-х)' +- -(1–x)*…

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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: is equal to. k=1 n2 The sum O n+1 2n O n+1 O n? +1 2n2

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Q: -10 If AXT = B, then X= Let A = %3D 0 2

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Q: 2. Given ON=4x NE = 3x +8 OE = 36 36 %3D 0 4x N 3x+8 E ON + NE = OE

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Q: 38) - con A) 0 sec B) 5π T, 13л 5т D) 0 3 12 12

A: Find the value of x which satisfy sec(x/2)=cos(x/2)

Q: Show that for all n e Z, n? – 3n +17 2. -

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Q: y -los ON O B) ) A) C) D) None of these

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Q: e3x + 6 enx e(n+1)x = 1+ e® + 2 Sx n! (n+ 1)!

A: The given series is : eex=1+ex+e2x2+e3x6+·····+enxn!+en+1xn+1!   Let fx=ex The above function can be…

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: ( Σα - xi-1) = x = x for n > 2. i=2 11 IDDLE: following "proof" th

A: Given that c, x1, x2, ..., xn, y1, y2, ..., yn are 2n+1 given numbers.

Q: Describe the long run behavior of f(n) = 3n – 4n³ – 5n° + 5 As n → - 0, f(n) → ? As n → o, f(n) → ?

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Q: a²x, a?x? Po(x) = 1, p1(x) = 1 + ax, p2(x) = 1 + ax + 2! P3 (x) = 1 + ax + 2! %3D 3! a?? ax? p4 (x)…

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Q: Can you please solve this question and show the steps

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Q: 2 solve: csc x restricting attention to 0 < x < 2n 3

A: csc x ≥ 23.

Q: 5. For non-negative integer n and r, where 1<rsn, show that (n-r+1)"C,1=n(""C,). r-1

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Q: ъ) n EN COn n > 0, (2n)! < 22n . (п!)?

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Q: In yz can be written as : 1 In x - In y + In z a O 4 1. In x- In y- Inz b O 4

A: I have Provided this answer in step-2.

Q: j) Is there a number n with the prop- erty that f(n) +2=5?

A: Given: There are 10 peoples in a line. Let A=1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and f be a function that…

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Q: 8. Prove 3n e R|n? – n < 0

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Q: 3 and for n > 2, an = 2an-1+5, express an in terms of n. 1. Let, a1

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Q: ? Suppose that * f(3) = }, and f(x) > 0, and f(x) < 0. Is it possible that Í(2) = . 3 O False True

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Q: 2 - p(1< y 2) %3D 0.504 O 0.603 0.704 O غير ذلك

A: We know that the probability of any distribution or an event happening is always between 0 &amp; 1…

Q: 4. Prove that n(3n – 1)r x + 4x + 7x + ... + (3п - 2)x for n e N.

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Q: Hello,       Can you tell me if I’m on the right track and can you tell me how to solve this problem…

A: Value of

Q: How do I subsitute X= Ztan into Ha):" ) How do I simphtiy asuming Ok Be

A: Solution : We have given a function fx = x4 + x2   To find : Substitute x = 2 tanθ into the given…

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…

Q: 2r+1 if the values of x, y is O none O x-1,y32 O x-2,Y3D2 O x=2, y =1 223

A: Two matrices are said to be equal matrices if they have the same order ( dimension) and the…