MATH 274 Midterm: MATH274 BOYLE-M FALL2007 0101 MID EXAM 4

• School: University of Maryland
• Department: Mathematics
• Course: MATH 274
• Professor: All

Document Summary

By taking this test, you agree to follow the university"s code of academic integrity. The use of books, cellphones, and communication with others is forbidden: (15 points) we know this frenchman was, because he thought. We know he was not an early riser. (meeting the queen of sweden on occasion at 5 am may have been bad for his health in the last year of his life. ) Isaac barrow, fermat, pascal: (10 points) leibniz in 1702 claimed that for a real number a, the polynomial x4 + a2 could not be factored as a product of quadratic polynomials with real coe cients. Factor the polynomial x4 + 1 as a product of two such quadratics: (15 points) say a little about the di erence between newton"s and leibniz"s approaches to calculus. For the initial point (x, y) = (0, 1), use newton"s technique to nd the corresponding numbers b, c in (**).