Let o (n) be the sum of the divisors of n and let (n) be the Euler phi functions. Let n = = pq be the product of two distinct primes. Show that o(n) + (n) = 2n + 2. =

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Q: 1. Use the trapezoid rule to approximate the following integrals: (using n = 4 subintervals) a. (x³…

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Q: Which of the following is equivalent to plq O(p->q)&(q->p) (p->q)(q->p) ((p->p)->!(aa))!(g(p->a))

A: Truth table for p|q is  pp qq p \uparrow qp|q True True False True False True False True…

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Q: EXAMPLE 5 Find the center of mass of a solid of constant density that is bounded by the parabolic…

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Q: 16) The series Σ(-1)+1 76mm 1 a) True b) False converges conditionally. 17) de converges if and only…

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Q: 1(a): =1(b): Suppose an undamped forced spring mass system is driven by the equation + 9x = f(t),…

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Q: Find the center of mass of the solid E bounded by the planes x=0, x=2, y=0, y=2, z=0 and z=3. Assume…

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Q: 1. a) b) Use row reduction to find A-¹ of = 1 0 2r -3 4 4 Use the result from part a) of find the…

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Q: Can someone add explanation along with the answer. Question: Find the Lagrange's interpolating…

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Q: Verify that λ, is an eigenvalue 8 -1 3 0 6 1 07 0 Ax₁ = Ax₂ = A 8-1 3 0 61 0 0 07 0 8-13 0 0 6 1 2…

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Q: Find the G.S. about xo = 0 for the following DE's (x²+4)y" + 2xy' - 12y = 0 1.

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Q: Determine the behavior of the following SERIES. (4n²+5)" (3n+ 1)2n The series n=1 The series Σ(-1)",…

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Q: QUESTION 11: if B = {(1,0), (1, -1)}, B = {(1,1), (1, -1)}, [x] = [2 -2]T What is [x] = [a b]¹?

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Q: which

A: In first part we have to find, what is the average constituency of each state . For this we apply…

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Q: find a tbtc 2 The RREF OF -2 -4 2 -1 3 2-6 | is [! I a 00 00 o b I c 0 0

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Q: 1. Let S be the triangular region in R3 with vertices at (2,0,0), (0,6,0), and (0,0,3) with upward…

A: 1 Given that S be the triangular region in R3 with vertices at 2,0,0, 0,6,0 and 0,0,3 with upward…

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Q: Solve the initial value problem below using the method of Laplace transforms. y"'-2y' - 3y = - 4…

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Q: Solve for the power series solution of the given differential equation. (x² − 1)y" + (x + 1)y' - y =…

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Q: Find F.T [e-t sin(wot)u(t)] sin(wo₂) = [ewot - e-wot] 2j

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Q: T 00-3 = 11 -1 -2 0 -3 00 = 15 T 00 30 = -3 - 12 9 3 T = -4 -2 -5 9 Determine whether T is…

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Q: 22. A diving pool can be filled by a pipe in 10 hours if the drain is opened. If the pipe was…

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Q: Simplify the Rational Expression below. What is the condition or restriction of the simplified…

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Q: Let f (x, y, z) = g (v x² - 4y2² +2² V x² +16y² + 2², where 9 is some nonnegative function of one…

A: Given: Let us consider the given data, fx,y,z=gx2-4y2+z2×x2+16y2+z2 The surface S is given as,…