(3) It is known that an investment of P5,000 will increase to P40,000 at the end of 30 years. Find the sum of the present values of three payments of P 100,000 each which will occur at the end of 20, 40, and 60 years. Find first 1 + i then v = (1 + i)t for t = 20, 40, 60.

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Q: 4.2 Find the solution subject to the following boundary and initial conditions of the heat equation,…

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Q: 1. Evaluate the following integrals. (d) Exercise I in 8 clnyerty dy dx

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Q: Let x 2 be any real number. We have (t) dt [² 0(x) = n(x) log x T(x) = = 0(x) - log x t px 0(t) + S…

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Q: In an encyclopedia of language, the author presents five sentences that make a reasonable paragraph…

A: We can arrange these five sentences in 5! ways. Means 5! = 5x4x3x2x1 = 120.

Q: 8.1 Find the maximum value of f(x₁, x2,,xn) = (x₁x2... xn)¹/n where x1,..., n are positive numbers…

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Q: 23. Use quantifiers to express the following sv.bubol (a) Every student needs a course in…

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Q: Exercise III.2. Graph the following sets S in R² and determine which are conver: (i) B (ii) B:= • {…

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Q: For each of the following, if it is true prove it and if it is not true give a specific example for…

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Q: elect the subset(s) that are subspaces. All polynomials in P3 that have a non-zero 1² The set of all…

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Q: Consider the following recurrence relation: Q(n) = { 42 = if n = 2∙Q(n-1)-3 ifn>

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Q: Prove that multiplication of complex numbers is associative.

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Q: Give Arb three examples of matice spaces they complete?

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Q: Let {u₁, U₂, U3, U4} be the orthogonal basis for R¹ given below. Write x as a sum of two vectors v₁…

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Q: What is S'?

A: The question is what is S'.

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Q: Is there any other method you can use besides this one ?

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Q: How many Sylow 5-subgroups of S5 are there? Exhibit two.

A: We have to find Sylow 5-subgroups of S_5

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Q: 8.2 Use Lagrange Multipliers to find the volume of the largest open-top box that has 120 m² of…

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Q: A. Using the definition of limit, show that limn→∞ 1 / n5 = 0 and that limn→∞ 1 / n1/5 = 0.

A: Since you have asked multiple question we will solve the first question for you. If you want any…

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A: A.M&gt;=G.M

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A: It is given that one copying machine produces copies at twice the constant rate of another machine…

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Q: Consider the polynomial P(x) = 4x6 - 4x5 + 11x¹ - 7x³ +5x² + 2x (a) Use the Rational Root Theorem to…

A: Rational Root Theorem:- A rational root of a polynomial  Px = an xn + an-1 xn-1+……+a0 is of the form…

Q: Prove that lim n! = 0. Hint: Show that 0 < 2 n! n-2 ≤ 2(3) ¹-² for all n ≤ 2.

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Q: a tank contains 50kg of salt and 1000 L of water. A solution of a concentration 0.025 kg of salt per…

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Q: Example. Solve the system by Gauss (Unique solution) + 2z = 4 3 3 X y 3x + 2y 2x + 3y T Z Z = =

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Q: Q.3 Explain operations on classical / crisp sets

A: There are various operations on Classical sets.   The first kind of operation is Union. The union of…

Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles…

A: Given a trough is 12 feet long and 3 feet across the top (see figure of the question). Its ends are…