You are being asked to find the root of (x-11)*(x-33)*(x-44)*(x- 55)*(x-87) = 0 with x= 1+1.5 and xu=88+1*8; using the bisection method. Which root will be found? Explain. What is the problem of choosing x=1, X=66 , Explain.

Q: Find the series solution of y’’+xy’+y=0 using the Power Series method.

A: We have to find the series solution of y’’+xy’+y=0 using the Power Series method.

Q: (- 1)" Consider the series E N 9+). Which of the following statements are true? (Select all that…

A: Given :  The given series is  ∑n=1∞an = ∑n=1∞-1nn79+1n7 We have to check the convergency analysis of…

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Q: For x, y, z, w > 0, prove that (x/z)+(y/z)+(z/w)+(w/x)≥4

A: It should by x/y, instead of x/z

Q: dy dx ytsinx I+ CoS X

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Q: и Write the vector shown below as a combination of vectors ū and v shown above

A: Solution

Q: Check that P ˅(Q ˅ R) is equal to ┐(R ˄ Q ˄ P) → P

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Q: Find the number of combinations that can be drawn without replacement by pulling 2 balls from a set…

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Q: 5. Given that 8x2 w(x, y, 2) VIVE Use partial derivatives to find the maximum percentage error in w,…

A: Given, w(x,y,z)=8x2y3 z4Percentage error in x, y and z is 1% , 3% and 4% To find: Maximum percentage…

Q: a. Write down the 5 nonzero terms of the Taylor series around the point x=0 and find f(2.1) (4…

A: This is a problem of Taylor approximation.

Q: APPROXIM ATE CRAPH FX) use FouR THE Ant A OF THE RECION DornOtO 1By THE AND THE X-A XI7 E sIN X TOR…

A: This is the problem of Numerical Analysis.

Q: 2. The linear differential equation x*dy+(2y-3x²y-x' dx 0 has the integrating factor equal to (Note:…

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Q: Use mathematical induction to prove that n3 - n is divisible by 3 where n is a positive integer.

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Q: Find L10 of the function f(x) = 3* – cos (nx) on [– 3,2]. Explain the Summation Notation you will…

A: here we will find left Riemann sum  ∫abf(x)dx≈∑i=0n-1fxi*Δx    where  Δx=b-anand  xi*= a+i×Δx…

Q: How many possibilities are there for the win, place, and show (first, second, and third) positions…

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

Q: Integrate f(x) from x = 0 to 10 using Three-Point Gauss-Legendre Quadrature. f(x) = 5000 + 24583x –…

A: Gauss's three-point formula to evaluate the integral I=∫abfxdx is: I=b-a2w1fx1+w2fx2+w3fx3 Here we…

Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

A: Hint: A vector v→ is perpendicular to both a→=a1i^+a2j^+a3k^ and b→=b1i^+b2j^+b3k^ if v→=a→×b→…

Q: b) Determine whether the matrices L- ), M = [ - 3 - 2 2 4 3 ,and N = -2 2 are linearly independent…

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Q: b) Given a linear system as below х — 2у + 3z %3 9, —х + Зу %3D — 4, 2х — 5у + 5z %3D 17 Find the…

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Q: Find the solution. 2y dx = (x2-1)(dx - dy) %3D

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Q: Find how many 3 subset can be formed from the set {a,b,c,d,e,f,g,h}.

A: We have to find how many 3 subset can be formed from the set a, b, c, d, e, f, g, h.

Q: Find the solution. (x³ + 3y) dx – xdy = 0

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Q: Find the solution. (D* + 1802 + 81)y = 0 Ay = (c, + c,)cosår + (cz+c,)sin3r. ® y = (c, + cx)cos3r +…

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Q: Solve y" + 4y —и(( — 1) + 6(t — 2), у(0) — 1, у (0) — — 1. |

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Q: 2. Find the power series representation of the following functions. And then write out their I.O.C..…

A: we have to find the power series representation of following f(x).

Q: Integrate f(x) from x = 2 to 8 using Three-Point Gauss-Legendre Quadrature. f(x) = 5000 + 24583x –…

A: We have fx=5000+24583x-7418x2+766x3-31x4+0.44x5 and x is from 2 to 8 The formula to integrate…

Q: For each of the following relations ~ on sets X, determine whether it is reflexive, symmetric or…

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Q: Use the Newton Raphson Method to find the root of f(x) using 2.2 as the starting value of x. Iterate…

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Q: 12. In a standard deck of 52 cards, each card has a suit and a rank. A, hearts ♡, clubs , and…

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Q: Let A = 2 1 4 so that A4(t) = (t–1)³. Define T : R³ → R³ by T() = Ax. %3D 1 0 3 1 by first (a) Find…

A: Given the matrix A=-10-4214103 so that △At=t-13 and define T:R3→R3 such that Tx=Ax (a) We have to…

Q: 2s +3 Find the Inverse Laplace Transform of (s+4)3 A e²(2cox21+ – sin21) B e-(cos21+ -sin21)…

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Q: Find the number of permutations without replacement that can be created by drawing 5 balls from a…

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Q: Approximate the roots of the polynomial f(x) = X³ - 7X + 6 using False-position method.

A: We will find Approximate the roots of polynomial f(x) = x3-7x+6 using False-position method. steps…

Q: 4. Use a comparison test to determine whether the series converges or diverges. (a) E 1+ In n In(e"…

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Q: 4. In each part below, give an example of a function which satisfies the given criteria. Justify…

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Q: 1. Verify the initial value theorem for the voltage functions: a. 4+2 cos(t) b. t - cos (3t) and…

A: Given functions are a 4+2costb t-cos3t

Q: a) Solve the linear system below using Gauss Elimination and determine whether the solution is…

A: The solution is given as

Q: Find the solution. dy 2y = 2r/y dx A y = x³(x+c) 3 B y = x(x+c) © y = x²(x+c) 2 Dy = x²(x-c) -2

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Q: Question 26 You toss a fair coin three times, given that you have observed at least one head, the…

A: Outcomes for three tosses of a fair coin are     {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} where H =…

Q: 12. Start with the identities x2 1 P, (x) = xPn-1(x) + *P(x) n P, (x) = xP-1(x) + nP,-1(x ) (a) Show…

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Q: Complete the following Truth Table А в сD (A B) (АЛB) (сOD) (C+D) |0 0 0 0 Item 1 Item 3 00 1 0 0 1…

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Q: 1 3 a) Consider a set of vectors, x = |3 |,y = | 2 and z = L4 Can we express the vector, v = 4 as a…

A: The solution is given as

Q: 6s 3 Find the Inverse Laplace Transform of g2+ 25 2+ 25 A 6sin5t +-cos5t 6cos5t + sin St 3 -sin St…

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Q: Write the truth table for P ˅(Q ˅ R) ↔ (Q ˅ (P →(R ˄ R))) ↔(Q ˅ ┐R)

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Q: 2s + 3 Find the Inverse Laplace Transform of (s+4)3 A e"(2cos2t +- sin2t) 2 (cos2t+ -sin21) (2cos21+…

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Q: Find the solution. (у -х + ху сotx) dx + x dy %3D 0 A xy sinx = c + sinx - xcosx xy tanx = ccosy…

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Q: Which of the following is the general solution to the differential equation (x + sin y) dx + x cos y…

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Q: [2 1 11 b) Find the inverse of the matrix L = 3 4 1 with the determinant of the matrix L = -2. [3 2…

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Q: (1+t2) ds + 2t[st2 – 3 (1+12) ²]dt = 0; when t = 0, s = 2.

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Q: Find the Inverse Laplace Transform of (s+4)3 A ³(2cos21 + - sin2t) e-2(cos21+ -sin2t) (2cos21 +…

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