# pfinal - Practice Final MATH 1502 Use the blue book...

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Unformatted text preview: Practice Final - MATH 1502 Use the blue book provided. Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem 1: Compute the integral Z 1 x 2- x- 2 d x Problem 2: Compute the integral Z x 3 + 1 x 2 + 3 d x Problem 3: Compute Z + ∞-∞ xe- x 2 / 2 d x Problem 4: Is the following integral convergent? Justify Z + ∞ 2 1 √ 1 + x 2 d x Problem 5: Compute the Taylor polynomial of degree 3 of cos x about x = π/ 6. Problem 6: Solve the differential equation dy dx = 1 1 + x 2 with y (0) = 1 Problem 7: Solve the differential equation dy dx = y 2- 3 y + 2 with y (0) = 0 Problem 8: Solve the differential equation ds dt = se- t with s (0) = 1 Problem 9: Find the equilibria of dy dx =- y 3 + 3 y 2- 2 y Find the stability of the equilibrium points. 1 Problem 10: Solve 2 x- 3 y + z = 1 x + y- 2 z =- 3 3 x- 2 y + z = 2 Problem 11: Find the inverse of " 2- 2 3 2 # Problem 12: Let A = " 4- 3 2- 1 # Compute A 30 "- 4...
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## This note was uploaded on 04/24/2008 for the course MATH 1502 taught by Professor Mcclain during the Spring '07 term at Georgia Tech.

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pfinal - Practice Final MATH 1502 Use the blue book...

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