Q2:Write an Algorithm to evaluate the following equations: X4 + 2! x2 x6 X8 + 6! 1.Cos(X) = 1 – -- - - ...... .... .... .. 4! 8! n!

Q: (1) IF: ā=21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find : a.b, ã.č, č.ã‚ (a+b).(a−b),(ã+ê).(ā-č) (a +2b-3c).…

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Q: In(x²) = 2 ln(x) for all x True O False

A: ln(x^2) =2ln(x) for all x

Q: 2. Suppose A and B are 3 x 3 with det(4) = 3 and det(B) = -1. Compute the following. q (a) det(4¹)…

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Q: To show that the general factorial function: (a)= mn (-). (+¹).(+-¹). here m is a positive integer…

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Q: | sec (3.r)dr reduction formula (or any other method) =)dx = 1 sec"-2 (ax) tan(aæ) + (n – 1)a n- 2…

A: The question is taken from the calculus in which we have to find the integral of a given question We…

Q: Use the simplex algorithm to solve the following LP: max z = x₁ + x₂ + x3 X2 X1 s.t. x₁ + 2x₂ + 2x3…

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Q: | 0 0 1 1 1 00011 0 0 0 0 1 5 (If the arithmetic for computing an entry involves huge powers, you…

A: As per bartleby guidelines we are allowed to do maximum of 3 subparts

Q: Suppose that x is N(15,4). Find the P(X>11).

A: The random variable X follows normal distribution. The population mean is 15. The population…

Q: Show the function f1(x) is primitive recursive. f1(x) returns n if factorial(n) = x but returns 0 if…

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Q: Find the 5th term in the expansion of x3 7 2y2) x2

A: The expression is  x3-2y2x27

Q: 2 – |- 2(x + 1) – –s-+ 3x X-3 5х-3

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Q: QUESTION 3 Let P(x) is cold Q(x,y)=xisy. The universe of x is seasons, and the universe of y is…

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Q: Solve the following ODE y +2y +y = x + e O a. (C1+ C2) e* + (x-2) + e /9 O b. (C1 + x C2) e* + (x-2)…

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Q: Let a=⟨−3,−2,2⟩ and b=⟨−4,−2,0⟩ Compute:

A: Given that          a = <-3, -2, 2 >    and    b = <-4, -2, 0> Here we have to compute…

Q: (-1)^ xIn lIt) = (-1)" (n+ 2 2n+1(n + 1) che exact value of

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Q: Let U₁ = (b) (c) 5 (d) , սշ 2 3 Compute each of the following. (A graphing calculator is…

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Q: (3c) Let n E Z. Prove that if n is odd, then 4|(n² – 1)

A: here is the proof

Q: (i) Deduce that the difference in the number of integers in the numerator and denominator of (* 2N N…

A: Properties of floor functions will be used.

Q: (b) The integer n is even if and only if (n +1)2-1 is ev

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Q: (3x* – 1) dx + x°dy = 0; when x = 1, y = 1

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Q: Find the general solution of the recursive relation an ○ an = a (1 + √√14)” + ß(1 − √√14)” an = a(1…

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Q: 1. Suppose that for a certain life , S, (x) = 1- . Find 100 (i) Find the prob. that a person aged 25…

A: Given : The survival function for a certain life is : SXx=1-x1002

Q: For the model (1-B)(1-0.2B)X(1-0.5B)a,, find forecasts for one and two steps ahead, nd show that a…

A: Given: Let Xt∧k=1.2 Xt∧k-1-0.2X∧tk-2 ---(1)

Q: If / (7-4) (x + 8) 12 O 4 dx Adx - A+B 4 Bdx x+8' , then A+B =

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Q: We want to find the number of ways in which 3r balls can be selected from 2r red balls and 2r blue…

A: We have , 2r red balls and 2r blue balls . To find : the number of ways in which 3r balls can be…

Q: Make this nonlinear problem to a BINARY INTEGER PROBLEM.   Max z = x2y + 3x3yw     subject to…

A: As per the question we are given a nonlinear optimization problem which we have to convert into a…

Q: 3 - 4 fX = the value of X" is - 1 %3D

A: We have to find the value of X^n

Q: (4b) Let n E Z. Prove that if n is even, then n² + n + 2 is even.

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Q: and a3= Recursive : an=an-lor I-udo'b=ub: oilldag

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Q: -3an The solution of the recursion relation ant1= n > 0, with ao = 1, (n+1)? " is an O None of these…

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Q: n Prove that (3i – 2) = ; (3n – 1) for all integers n > 1. - i=1

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