MAT1322-3X Solution to Final Examination Summer 2014 3
6. SupposeEuler's method with step size h= 0.1 is used to estimate y(0.3), where y(t) is the solution to the initial-value problem y'= 2ty2-y2, y(0) = -1. Which one of the following values is closest to the result that you obtained?
7. The sum of the series01
8. Consider power series 0( 1)3-∑. Which one of the following statement is true?
(A) When -3 < x< 3, this series is absolutely convergent. When x≤-3 or x≥3, it is divergent. (B) When -3 < x< 3, this series is absolutely convergent. When x< -3 or x≥3, it is divergent. When x= -3, this series is convergent but not absolutely convergent.