8. The function f is given by the equation f(x) = (ar²+bx+c) e", where a, b and c are real constants. Find the value of these constants so that the point (0, 0) is on the graph of f and is an inflection point of this graph with y = x as the tangent line.

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A: a

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A: Value of the function using central difference

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A: To Prove: a and 1+a-1 have same degrees over F.

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Q: (ANB)U(ANC)

A: A∩B∪A∩C

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Q: 2 Prove That D₂ = 8 cannot be the internal direct product of two of its proper subgroups.

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Q: 2. The gradient of the function, f(x, y, z) = x³y + 3xz, is Af = (3x²y + 3z)i df = (3x²y + 3z)i…

A: Gradient of the function

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Q: Determine all of the subfields of Q(√2).

A: Given: Q2. To Do: Determine all subfields of Q2.

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A: y'=x+yy0.4=0.41h=0.2

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Q: Determine the units in Z[i].

A: We have to find the units in Zi.

Q: Exercise 14. How many non-negative integer solutions does the equation x₁ + x₂ + x3 + x₂ + 25 = 17…

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Q: 15x1 + 4x2 - 4x3 + 2x4 = 49 3x1 +27x2-5х3 - x4 = 18

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Q: the probability that scientists from Area 51 will begin selling pet aliens in the next month is 38%.…

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

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A: We check which of the following is linear operator .

Q: The characteristic polynomial of A 1 -2 1 € M3(R) is p(A) = −X(X+3)². 1-2 1. Find the set of…

A: A=-2111-2111-2pλ=-λλ+32=0

Q: What is F2 and what is F4 for the 4 by 4 Fourier matrix?

A: To Do: Find F2 and F4 for the 4 by 4 Fourier matrix.