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Q: f(x) = log3(2r – 1). a. Determine the Taylor series expansion about a = 1. b. Find all possible valu...

A: The Tylor series of a function is  f(x)  at a point a  is given by 

Q: Solve the exact equation (4a y? – 6x²y – 2x – 3) dr + (2a*y - 2a)dy, y(1) = 3. | y(x)

A: solution of the given problem is below...

Q: The function f(#) = - - 3 a2+ 45 a +1 has O a local maximum at a = -3 and a local minimum at a = -4 ...

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Q: 5-High School Prep Math-A0 Find the length of side a in the following diagram. 19 cm 3cm 7 cm Answer...

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Q: Use Matrix Inversion to solve the collection of systems of linear equations. You do not need to show...

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Q: Prove Vandermonde's Determinant by induction (I didn't like Proofwiki because they didn't explain it...

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Q: Find the circulation and flux of the field F= - 2xi - 2yj around and across the closed semicircular ...

A: The circulation of a field is defined by the line integral  where r(t) is a smooth curve in the dom...

Q: Please solve only question 1.

A: As per honor code, we are entitled to solve only 1 question at a time so I am providing the same. Ki...

Q: 2. Use Taylor's method of order two to approximate the solution fo the following initial-value probl...

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Q: Find the following limit if it exists, or show that the limit does not exist, y? sin? x lim (z,y)¬(0...

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

Q: Are these equations equivalent? Please prove the answer via conversion equivalence.   P1 = A ∨ ( B∧ ...

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Q: Show that (x, y) = 5x1y1 – 9x2y2 for vectors x = (x1, x2) and y = (y1, y2) in R2 defines an inner pr...

A: This question is about application of linear algebra 

Q: solue the diffova ial equeen solucthe diffeva tial equen -3X e Sin 3X

A: To solve a linear non homogenous  differential eqaution with constant coefficient follow: Rewrite t...

Q: If A = 8i + 4j -2k N , B = 2j + 6k m , C = 3i - 2j + 4k m , find A cross B dot C in Nm2.

A: If A = 8i + 4j -2k N , B = 2j + 6k m , C = 3i - 2j + 4k m , We have to  find A cross B dot C in Nm2.

Q: 9 Please handwrite the working and solutions if possible, I find this easier to follow than typed so...

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Q: Solve it

A: We will use the definition of Topology.

Q: Let f be a function of multiplicity greater than one at P. f (x) has multiplicity one at P. f(x)' Th...

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Q: If the dimension of Pn+1 is 5, then what is the n? (Note that Pn is the set of all polynomials of de...

A: Pn is the set of polynomials of degree n or less together with zero polynomial. Given dimension of P...

Q: Using the method of variation of parameters, solve the following inhomogeneous equation. y′′+12y′+36...

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Q: A metal cylindrical container with an open top is to hold one cubic foot. If there is no waste in co...

A: Given: Volume = 1 cubic foot

Q: y2+2 =1 and plane x-y=0 are given. find the curve that is their întersection the curve uith a perpen...

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Q: 5) Solve the following quadratic congruence equations. d) 5x? + 12x + 11 = 0 mod 17

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Q: 1. Given the real symmetric matrix A: 1 -1 A 8 -4 -1 -4 7 (a) Construct a unit lower triangular matr...

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Q: {[: .",] : * eR}? Which of the followings is a base of the set W A. {[: :]·[: :]-[: :]} В. {[; ?] [:...

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Q: please show and explain how I would be able to find the equation of the plane perpendicular to the c...

A: Given, We have to find the equation of the plane perpendicular to the curve: , at  

Q: The curl of the vector field F(x, y, z) = (5z cos(r), 2z sin(x), 72) is: curl F i+ j+ + k Add Work

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Q: Problem no.1: Use Newton - Raphson method to find the real root of f(x) = 5cos?(x) – 8cos³ (x), corr...

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Q: Please answer the questions with steps... Thank you

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Q: pls help

A: Derivative is also used for determining the maximum and minimum values and value points of a functio...

Q: Using RK method of fourth order to find y at x=0.3 given dy 2xy + e* x² + xe* 'Y(1) = 0,h = 0.3, dx

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Q: Q. Let G be a group, and let p be a prime. Prove that |G| = p" for each a E G, for some integer n >0...

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Q: Lec lo4 Convert (o6io to a numeral in base 2.

A: Given,

Q: Find the Laplace transform of the function

A: Given,

Q: The Sports Shoe Company is a manufacturer of basketball and football shoes. The manager of marketing...

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Q: The continuous random variable Y has the following probability density function. Pembolehubah rawak ...

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Q: linear algebra

A: First we check that the determinant contains any zero row  or not .  Second We check that the determ...

Q: It is algorithm and graph theory question.

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Q: 7) Let p be an odd prime, find if a) p =1 mod 8

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Q: Problem 4 Show that the set D¡ \ D2, where Dị := {(x, y) E R² : x² + y² < 2}, D2:= {(x, y) E R² : x²...

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Q: LINEAR ALGEBRA

A: p

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its (imit. ...

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Q: Given the following table for f (x) 0.5 1 X Y 2 7 1 where x,=0, ×1=0.5 and x2 = 1. Jsing Muller's me...

A: Given: To explain the correct option of the given statement as follows,

Q: Solve the initial-value problem: а) у" — Зу' + 2у %3D 2е3t : у(0) %3D 1, у' (0) %3 —1

A: Since you have asked more than one question, we will solve first question for you. If you want other...

Q: 10. By using the Fundamental Homomorphism Theorem, prove the following statements: (a) (Z x Z)/((4, ...

A: We will solve all the four parts for you, using basic knowledge of group isomorphisms. 

Q: Which of the following statements are FALSE? * I. xy + 2y' + 3y=x is called as non-homogeneous equat...

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Q: The sets of vectors B = {(1, 3), (3, 3)} and C = {(0, 1), (1, 2)} are ordered bases of R2. Cind the ...

A: Given: The sets of a vector are B = {(1, 3), (3, 3)} C = {(0, 1), (1, 2)}

Q: Let D be the region between the circles x^2 + y^2 = 1 , x^2 + y^2 = 4 and the curves y = e^2x, y=(1/...

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Q: Evaluate the work done between the points P, (3,1,4) and P, (6,3,6) for the conservative field F = 8...

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Q: You have invested money in a savings account that pays a fixed monthly interest on the account balan...

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Q: What guess would would make for the particular solution to the linear, non-homogeneous d'y dy +10 + ...

A: Here we will find out the required value.