An account credits interest at an effective annual rate of 2% for the first 10 years and according to a force of interest 8(t) thereafter. 21 1+12 . a) Deposits are made continuously into the account at a rate 11(t) = 1. Find the accumulated value after 15 years. b) Deposits in the account stop after fifteen years. The accumulated amount (found above) is used to fund a continuous withdrawal at a rate 12(t) = 2t. Can this withdrawal scheme be carried forever? Justify your