1. If P5,000 is invested in a time-deposit for 2 years in a bank that offers 4% annual interest compounded quarterly, how much interest will be earned at the end of 2 years?

Q: D II. Power Series expansion. 1. f(x) = 2x² in powers of (x-1).

A: 1. The given function is fx=2x2 To find: the power series of f(x) about x=1. Please post the…

Q: 3. Let U= {x: xEZ, 0<x< 15} A = { x: x E N and (x − (m + 3)(x − (m + 2) = 0}, B = {8,6,7,9} and - a.…

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Q: Reckless Rebecca decides to take up skydiving and jump from an acrobatic plane flying along the path…

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Q: Find a function u(r, 8) that is harmonic outside the unit disk, equals f(0) = 2 sin(30) + 4 cos (50)…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: α. Γ(6) 2Γ(3) b. Γ(7/2) Γ(1/2)

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Q: From the following table of values, find the approximate value off (1.5) ? X 1.0 1.5 2.0 2.5 3.0…

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Q: Consider the graph of the function h(x) = -x^5 + 5x^3 - 4x - 1 illustrated below. a. Describes the…

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Q: Let f=(174562)(3 8) and g (1 254863) be permutations in Są, written in cycle notation. What is the…

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Q: Determine the area bounded by f(x)=x²-X and x-axis. A 1 4 unit² B unit² (C) unit² D ~/m 6 unit²

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Q: Let (G, 0) be a group and x = G. Suppose H is a subgroup of G that contains x. Which of the…

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Q: Q₁ /Find x, y E R for: -i+1 2-i c) √

A: To find x, and y for the below complex number. −i+12−i

Q: 4. The table below shows the weights (kg) of members in a sport club. Calculate mean, median and…

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Q: Find the Fourier Series for the following periodic functions 1) f(x)= 1 -π/2<x<π/2 π/2<x<37/2 Ans.…

A: Note : As per our guidelines we will solve only first question. If you want any specific question to…

Q: Fit the curve y = ax²+bx+c to the given data below using Lagrange Polynomial Interpolation.

A: Given data:  xi i=0 to n 1 2 3 4 5 yi i=0 to n 0.25 0.1768 0.1443 0.125 0.1118   To find:…

Q: Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous…

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Q: (1) y = x, y = 2- |x| (2) y = 1/x², y = 8x, y = x/8

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Q: T: (x, y, z) → (-x, z, y) where x, y, z € R (c) Explain whether the linear transformation in part…

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Q: The general solution of the equation (D4+D²)y= -12 is Ay=c₁ + C₂X + c3cOSX + Casinx -3x² B y=C₁ +…

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Q: X+2 termine the case of the following proper rational function after simplification: (x² – 4)(x³ –…

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Q: Let f= (14723 5 6) and g = (1 5 3 264) be permutations in S. What is the second line of fin two-line…

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Q: The charactersitic equation of a 2nd​ order, constant coefficient differential equation is​…

A: Given the charactersitic equation of a 2nd​ order, constant coefficient differential equation is​…

Q: 1. (D³ - 3D²D + 3)y = 0

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Q: Who wins by plurality? A BBM (B) LENI MANNY (D) No winner Number of Votes 1st Rank 2nd Rank 3rd Rank…

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Q: Find the maximum and minimum values of the function f(x, y, z)= 3x - y - 3z subject to the…

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Q: The conditional statement, P→9, is logically equivalent to A q→p B -p-q C 9-P D P→q

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Q: A right circular tank of depth 3m and radius of 2m is full of water. Find the work done in pumping…

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Q: Solve the initial value problem y" + 6y' +9y = 0, y(-1) = 2, y'(-1) = 3. y(t) =

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Q: Let m be a positive integer. Define the set R = {0, 1, 2, ..., m-1). Define new operations and on R…

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Q: Let X be a set. Let P be a set of subsets of X such that: • Ø & P; the union of all sets A € Pis X.…

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Q: Let G be the interval (-1/2, ∞). Let a be the operation on G such that, for all x, y = G, x x y =…

A: Introduction: In mathematics, an identity is a relationship between two mathematical expressions A…

Q: Q3) Prove or disprove 4. Any non-trivial group has at least 2 normal subgroups.

A: Here we have to prove that any non trivial group has atleast 2 normal subgroups.

Q: P.1. Determine the moment of inertia of the shaded area about the x and y axes. y=x² 2 m 2 m

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Q: ★ Use the Integral Test to evaluate the series for convergence. ∞ 1 In(In(n))2. n=2

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Q: What is the differential equation corresponding to the general solution y²=Cx³? dy 3x A dx 2y dy 2y…

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Q: 2. y" +4y= cos²x

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Q: Solve the equation [11]13 X+ [10] 13 = [1]13 X+ [1]13 for XE Z13. Write your answer as X= [13 where…

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Q: 5. Find a function u(r, 8) that is harmonic outside the unit disk, equals f(0) = 2 sin(30) + 4 cos…

A: In the given problem we used the fact that f is harmonic on the unit circle, and using the…

Q: Solve the DE sinx siny dx + cosx cosy dy = 0 by separation of variables. (A) cos y sin x =C sin y B…

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Q: Find a particular solution yp of the following equation using the Method of Undetermined…

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Q: What is the truth value of the compound proposition if p and q are true statements and r and s are…

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Q: In 7₂ [X], show that the distinct

A: To prove that the distinct polynomials x4+x  and x2+xin ℤ3x determine the same function from  ℤ3 to…

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Q: Let m be a positive integer. Define the set R= {0, 1, 2, ..., m-1). Define new operations and on R…

A: Let m be a positive integer. Define the set R=(0, 1, 2, ..., m-1). Define new operations ⊕and ⊙on R…

Q: Q2.Use Triangular method of integration, find the integral f dx. √√x²-9 5x4

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Q: please send the solution photo.. thank uou

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