Find the exact coordinates of the stationary points of the function f(x) = e2-10e" + 12r and determine their nature. Provide a clear, step by step explanation of your working and justify your final answers.

Q: 4. Let H & K are two subgroups or a group G such that H is normal in G then show that HK is a…

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Q: (h) Yk+1 – Yk = kek,

A: Given difference equation is  yk+1-yk=kek                    (i) It is a linear first order…

Q: please solve and show your work

A: It is known that, the solutions of the equation

Q: Please solve and show your work

A: To find: -

Q: Please solve and show your work

A: LCM of x and 3x is 3x.Multiply both sides by 3x to get rid of the denominators.

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A: The given points are

Q: (a) Find the exact value of tan(A) given that tan(2A) 3 and 4 < A< 7.

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Q: please solve and show your work

A: To factor

Q: Problem 1 Let the matrix A be given by 34 A = 1 1 -1 1 2 a) Calculate the determinant of A. b)…

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Q: Please solve and show your work

A: The given points are

Q: please solve and show your work

A: take the common great factor.

Q: Consider the power series f(x)=log(n)x" . The R.O.C. of f(x) is (a) 0 (b) 1 (c) 3 (d) 0

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Q: Please solve and show your work

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Q: please solve and show your work

A: Two end points of the line segment are: (0,4) and (-5,-3)

Q: please solve and show your work

A: To determine the quotient using long division.

Q: Please solve and show your work

A: To find: -

Q: 2- Write the central difference numerical scheme for solving the the non-linear ODE

A: We have to give the central difference  numerical scheme for solving non linear ODE.

Q: please solve and show your work

A: Mid point formula:

Q: Calculate the mth coefficient of the eigenfunction expansion represen- tation of the function fr:…

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