Solve for the root of f(x) = Solve for the root of f(x) = sin 4x if x₁ = -2 and XR = e-²x − 4 if x₁ = −1 and x = 1

Q: Solve the following initial value problem. y'' +25y = 3x; y(0) = 1, y'(0) = 5 The solution is y(x) =

A: Solution: Given; y''+25y=6x,    y0=1 and y'0=5, Auxiliary equation will be for y''+25y=0 and let…

Q: Write down the dual to the following LP: Choose nonnegative x₁, x₂, and x3 to minimize x₁ + x₂ +…

A: Solution: Given that x1≥32x2+2x3≥4x2+3x3≥4 (a) x=(3,1,1) and y=1,14,12 now,

Q: Let X = {1, 2, 3, 4, 5, 6}. Which of the following is a partition of X? O {1, 3, 5) O {(1, 2), (3,…

A: Solution:-  Options (d) is correct

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Q: Premise 1: He is an action star or he has the support of the administration party . Premise 2: He is…

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Q: 1.- Let {Xn³n21 be a process adapted to filtering {n}nz1 and let {Gn}n>1the natural filtration of…

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Q: 1 2 3 4 5 6 1 3 4 5 6 7 7) and g = (₁ 2²7 Let f= 3) be permutations in S7, 5 4 2 3 1 7 6 1 2 5 4 6…

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Q: Analyze the characteristic of the critical points of the function f(x,y) by using any appropriate…

A: To analyze the characteristic of critical points of the function we will used first derivative and…

Q: 1. (D³ - 3D²D + 3)y = 0

A: To Solve: (D3-3D2-D+3)y=0.

Q: Consider the solid formed by the boundaries outside the elliptic paraboloid 4. x² + y² = z and…

A: Volume of a solid bounded by two surfaces z1=fx,y and z2=gx,y is given by V=∬z2-z1dydx Change of…

Q: the matrix has two eigen vector one (ارفق الاجابة)of this 0 플 0 -1 0 0 3/2

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Q: Given an equation of conic section 16x^-9y^-32x-36y-164=0 (a) By completing the square, show that…

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Q: Exercises: 9. Write the result using a single exponent. 415 a. 47 d. 756 723 (-13)60 (-13) 20 b. C.…

A: Solution:-

Q: Consider the following system. Find the eigenvalues of the coefficient matrix A(t). (Enter your…

A: Given- Consider the following system. X' = 8-88-12X To find-  Find the eigenvalues of the…

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: Solve the equation [33]43 X + [39]43 = [23]43 X+ [17]43 for XE Z43. Write your answer as X= [X]43…

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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…

A: Introduction: Permutation companies are mathematical companies whose participants are…

Q: 2- Use Gauss Elimination method to solve the following system: 4x1 + 5x2 + x3 = 2 3x₁ + 2x2x3 = 4 -…

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Q: (b) Find the matrix associated to the linear transformation L below, with respect to the stan- dard…

A: Introduction: A linear map (additionally called a linear mapping, linear transformation, vector area…

Q: Q3. Find the value of the following integration using Simpson method of integration: dx;n=6 √2x+1

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Q: F[x₁,...,n] is an integral domain.

A: Solution:-

Q: Theorems Let fox-applied between two toplogical spaces (x,x) and (3T), then the following statements…

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Q: a. [x³e *dx 0

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Q: Solve the equation [1]15 X+ [9]15 = [12] 15 X + [7]15 for XE Z15. Write your answer as X = [X]15…

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Q: 1 Let ƒ(x)=x²e³² the value of — lim[ƒ(x)]¹* is: 1 a) b) c) 0 d) 1 e 1 -19 4e

A: First put value of f(x) in given limit then find the limit as in next step.

Q: Based on the figure below, approximately how many orders of magnitude bigger is the genome of…

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Q: 1) You roll a fair dice. What is the probability that you obtain: a) a five? b) a three? c) an even…

A: Given that you roll a fair dice.

Q: Find the Fourier Series of the given periodic function. f(0) = {-1, if -n≤t<0 if if Ost<if(t+ 2n) =…

A: The given function is                               f(t)=4,        if -π≤t&lt;0-1,    if  0≤t&lt;π;…

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

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Q: The doubling period of a bateria population is 1515 minutes. At time t=110 minutes, the baterial…

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A: Solution: Given , Perimeter=80cm square of side=2cm

Q: Example 4.14. Obtain using Jacobi's method, all the eigen values and eigen vectors of the matrix 1 1…

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Q: Q))Solve the Recurrence relation Xk+2+Xk+1 – 6Xk = - 2k-1 where xo = 0 and x₁ = C

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Q: A population of mice increases by 10% every year. Define g n to be the number of mice after n years.…

A: Given: Population of mice increases by 10% every year. Define gn to be the number of mice after n…

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: Given [/dx.c determine all value/values of P for which the improper integral converges? (A) (-∞,1] B…

A: We have to determine the value/values of P such that the improper integral converges.

Q: If BBM needs an 8-seat cabinet, how many will he get from Region XI if he plans to use the Hamilton…

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Q: the matrix has two eigen vector one of (ارفق الاجابة)this N|HN|W 0 1 2 0 }] -1 0 12032

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Q: The table shown below gives the number of radioactive nuclei in a radioactive sample over a period…

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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: 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…

Q: Enter the smallest subgroup of M₂ (R)* containing the matrix -5 -3 (7²3). 4 a as a set. See…

A: Find the smallest subgroup M2ℝ× containing the matrix -5-374. The smallest subgroup containing an…

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Q: Which value of m would make​ p(x)=mx+5 and​ q(x)=2x+1 linear dependent vectors in​ P_1(x)?   A. 5 B.…

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Q: 2) A jar contains 4 red balls, 3 green balls, and 5 yellow balls. One ball is chosen at random from…

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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…

A: Introduction: Permutation businesses are mathematical businesses whose individuals are permutations…

Q: Let X be a set. Let P be a set of subsets of X such that: • ØEP; • the union of all sets A E P is X.…

A: Solution:-

Q: Premise 1: If I win the election, then the price of rice will be P20 per kilo. Premise 2: I win the…

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Q: Apply the Gram-Schmidt orthonormalization process to transform the given basis for R into an…

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Q: (b)show that: I(cosh at cos at) s++4a*

A: