Apply the Lagrange formula inversely method to find the value of x when y = 15 from the given data 5 6. 11 y 12 13 14 16 Show all the steps and calculations, including the rules.

Q: · y' + 2y = x²y³ .22,3

A: Solution of the Bernoulli's differential equation

Q: 4. Show that =N} which is subset of R is not compact by describing an open cover for n it that has…

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A: Given the vectors U→=2, 3, 4 and  V→=-1, 3, -5 We will find the unit vectors that are perpendicular…

Q: 3. The alternating series test can be used to show convergence for which of the following series? I.…

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Q: 1 2 B =

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A: Given G = (R, +), H = {a+b√2 : a, b∈Z}. We check whether H is a subgroup of G.

Q: solve the following ODE y + xy = 6xfy

A: We have y'+xy=6xy This can be written as: 1ydydx+xy=6x               ...(1) Let 1y=t So, we get:…

Q: 2 IT (a) (22 +9)2 6. T (b) dx x4 +1 %3D V2 (c) +1)(r2 +4) (x2 + 1)(x2 + 4) 6. || 8.

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Q: These problems start with a bidiagonal n by n backward difference matrix D = I - S. Two tridiagonal…

A: We are given the distribution here as:   a) The probability that it takes more than 20 minutes to…

Q: 4.x - 6 Let f(r) = 1- (2x – 3)3 (a) Find the Taylor series representation for f about r = 1.5 that…

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Q: Direction: Determine the Inverse Laplace Transform of the functions by reduction to partial…

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Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (4, –6) + t(1,…

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Q: Apply Runge-Kutta of 4th Order to approximate the solution on the interval [1,2] of the given…

A: Given: dydx=x-2sin2x-2xy, y1=2 To find: Approximate solution in the interval 1,2 with h=0.1.

Q: Use a compound angle formula to rewrite cos(30) in terms of sinO and / or cose.

A: compound angle formula

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A: We have to find the determinate .

Q: Proof by induction that 0+0=0+0   where 0 represent x. x+0=0+x

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Q: For the situation, identify the two players and their possible choices, and construct a payoff…

A: Here identify the two players and their possible choices, and construct a payoff matrix for their…

Q: Let f(x) = x In(1+x*). For all r E [-1, 1], it is known that In(1+x) = (-1)" -xn+1 n + 1 n=0 a. Find…

A: We have to find the power series of f(x) = xln(1 + x3)

Q: Evaluate the line integral (x – y°)dæ + (1+ y +z*)dy, where C is the circle of radius 2 centered at…

A: Hint: By green's theorem in a plane  If fx,y,gx,y be continuous in a region E of xy-plane bounded by…

Q: Which of the following is true? * If A = {x: x |B| Option 4 Option 3 |A| < ]B[ ]A| = |B| Option 2…

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Q: 5. (Section 4.2) Use 4 equally sized subintervals to approximate the area under the graph of 1. f(x)…

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Q: r* – 4x2 r(x + 8)(x – 2) 8(7x – 4) Given: f(x) = with f'(x) = and f"(x) = (x+ 2)? (r+ 2)³ 3 (r+ 2)4…

A: We have to construct a sign table.

Q: Q4: Solve the following O.D.E: (xy)ý = (x2 + y²) with the initial condition y(1) = 1, on the…

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Q: Let f : A → B be a function, {B;}jej a family of subsets of B. Prove that f-'(Njej B;) = Njej…

A: Given that f : A → B is a function. Also given that Bjj∈J is a family of subsets of B . We have to…

Q: 6. Using indirect method, prove that q is a valid conclusion from the following premises: p → q,r →…

A: Given that, using the indirect method, we have to show that q is valid conclusion with p→q, r→q, s→p…

Q: : 2 < x < 4} and B = {x € R : –4 < x < 1}. Prove

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Q: Determine the interpolating polynomial in Newton's form that passes through the points and Use the…

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Q: 12. Convert the rectangular coordinates (-1,3,5) to cylindrical coordinates

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Q: A = [3 +m ,B = [m land C = [" 10" lFind the matrix X, if -2 14 – m 6 1. Let 8 + m -21 Find the…

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Q: Use the operator method described in this section to find the general solution of each of the…

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Q: If a bus travelling at 25 m/s is subjected to a steady deceleration of 5 m/s?, how long will it take…

A: If a bus travelling at 25 m/s is subjected to a steady deceleration of 5 m/s2 .We have to find  how…

Q: required to prove that A×∅=∅

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Q: Lét Y C R² be the set {(x, y)|0 < x < 1,0 < y <1 and y E Q if x # 0} endowed with the dictionary…

A: Given that  Y⊂R2 be the set x,y; 0≤x≤1, 0≤y≤1 and y∈Q if x≠0 So, the set Y can be written as,…

Q: (iii) y" – 4y' = 6e3t – e¬ y(0) = 1, y'(0) = –1

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Q: 4х - 6 2. Let f(x) 1- (2х-3)3" a. Find the Taylor series representation for f about x = 1.5 that is…

A: Fourth degree Taylor's polynomial contains the heighest power of x is 4.

Q: 30 175 The vectors B = form a basis. Find the B-coordinates of x = [z]p =

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Q: 4. A particle of charge q = moves in velocity i = (2 + m)î – (5 + m)f – 4k in magnetic field B = (7+…

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Q: Which of the following cannot be defined as an inner product between two vectors (x0, Yo) and (¤1,…

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Q: Consider the following. W = {(5t, t): t is a real number} (a) Give a geometric description of the…

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Q: 2) Let A be the set of all integers. Suppose that xRy +x and y have the same reminder when divided…

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Q: . Construct a truth table for each of these compound propositions -) (p-->q) ^ (-p -->r) ) (pq) v…

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Q: Find the form of the cubic function that has  a x-intercepts 5, 2, -3 and y-intercept 30

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: (0) If lan diverges and (an Converges, n=1 (a) An Converges absolutely. n=D1 (b) Y An Converges…

A: We will get the conclusion by using the definition of a conditionally Convergent Series.  Option (b)…

Q: 1. Check if the following matrices are orthogonal. [1 -2 21 (a) A =2 -1 -2 l2 2 1 (b) B =| C cos e…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: If the interval of convergence of the powe

A: Given, the power series                          ∑n=2∞(-1)n(x-c)n4nlnn

Q: Find the general solution to the differential equation x?y" – 3xy' + 13y = 4+ 3x

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Q: xy そ十1 1 1 メモ 1€人 て入 1

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Q: given two terms find the explicit formula ^a18=44.3 and a33= 84.8

A: Given that, the terms are a18=44.3 and a33=84.8. Note that, the formula for an=a1+n-1d. Obtain the…