### Perturbation Theory

Find the real root of the equation x^5 + ex - 1= 0 approximately to O(^2) using perturbation theory.

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Find the real root of the equation x^5 + ex - 1= 0 approximately to O(^2) using perturbation theory.

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PART ONE: Simplify the following: (-3w^2 n)(2n^2)^4 A) -6w^2 n^7 B) -48w^2 n^7 C) -48w^2 n^9 D) 48w^2 n^7 PART TWO: Perform the following divisions: (32x^6 y^4 - 24x^2 y^9 + 4x^2 y) / (4x^2 y) A) 8x^4 y^3 - 6y^8 + 1 B) 8x^3 y^4 - 6y^8 + 1 C) 8x^3 y^2 - 6xy^7 + 1 D) 8x^4 y^3 - 6x

PART ONE: solve: (32x^6 - 24x^2 y^9 + 4x^2 y) / (4x^2 y) A) 8x^4 y^3 - 6y^8 + 1 B) 8x^3 y^4 - 6y^8 + 1 C) 8x^3 y^2 - 6xy^7 + 1 D) 8x^4 y^3 - 6xy^8 + 1 PART TWO: solve: (15m^3 + 26m^2 - 11m - 6) / (5m-3) A) 3m^2 + 26/5 times m - 5 and 1/5 B) 3m^2 + 2m- 2 C) 3m^2 + 7m - 2 D) 3m^2 + 26m

PART ONE: solve: (3n^5 w)^2 /(n^3 w)^0 A) 0 B) 9n^7w C) 6n^4w D) 9n^10w^2 PART TWO: solve: 9c^7 w^-4 (-d^2)/(15c^3 w^6 (-d)^2) A) 3c^4d^2/5w^10 B) 3c^4/5w^2 C) 3c^4/5w^10 D) -3c^4/5w^10 PART THREE: solve: 5m^-3 /6^-1 m^-2 A) -5m/6 B) 30/m C) 30m D) -5/6m PART

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