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Q: simpfly. all postive exponets and assume all numbers are postive, real numbers.  (z^3 x)^1/6 over…

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Q: Let yk = k", where n is a positive integer; then Ak" = (k + 1)" – k" - (1.112) nk"-+ n kn-2 +...+ 2.…

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Q: Show that An, n > 5 is simple.

A: Sol:- To show that An, the alternating group of even permutations of degree n, is simple for n ≥ 5,…

Q: 00 2. a. & dy 甲 : 产 -2 - ナ 直。 4. 5 -5 4A-2 1 Type here to search tab Caps tock mth 141.docx -2 3- |…

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A: Estimate by the graph where y approach as x approach to infinity

Q: test Conti nt for Xel

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Q: . Expand: (i) (2x - 3y)4

A: Since you have asked multiple questions in a single request we would be answering only the first…

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Q: sing direct proof, prove the following statements: 1. Prove: If x2-4=0, then x = 2 or x = -2. 2. If…

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Q: Prove a^2 +4a+3 is odd if and only if a is even.

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Q: Show that п ()- = 1- 1 and п,

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Q: = 6 ), c= 9) [1 2] A B = 8 3. 1

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Q: Show that 2 + V5 is imational number

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Q: 3. Prove that any Integens . Proof (by contradicton): ,9 t (a?-3)

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Q: If a is transcedental over Q then a^2 is also transcedental over Q

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Q: A cinema can accomodate 200 customers. Let z denotes the numbers of the customers in cinema. What…

A: Introduction: It is given that the cinema can accommodate 200 customers. The random variable z…

Q: If A= xe Z:2" = 1 and B = {x e Z:-4 < 3x-1<11}, then find n(A×B),where Z is a set of integers.

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Q: evaluate f)= 3sin2x at x=02J03E°5 %3D

A: Let us consider function  f(x)=a2x+2btanx+x+cln(4x)+d2x2                                        (1)…

Q: Please provide justified answer asap:::: Show that n is odd if and only if n^2+4n+1 is even.

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Q: Σ Find the smallest number n of terms needed to obtain an approximation of the series 10 n = 5 6…

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Q: Prove that 2^? +3^? is a multiple of 5 for all odd ?∈N.

A: We will solve this problem using principle of mathematical induction.

Q: prove the following using either direct or indirect proof  a. if a is an odd integer, then…

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Q: prove the following composte statement. if x and y are two real numbers such that x^4=y^4, then…

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Q: Determine a closed form expression for Enxh n>0

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Q: 2. Find all numbers z such that Az3 + Bz² + Cz = D -3 -5 a. A [4] B =[₁₁1] c = L-₁₁ ย -11] A = 11 3…

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Q: Solve for x. Leave answers in exact values. a) In(e**) = 25 b) 20 = 4e-2x c) eln(ax) = In e %3D

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Q: Prove following statement: For any integer a,the units digit of a^4 is 0,1,5 or 6

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