Use rectangles to estimate the area under the parabola y = 2x2 from 0 to 1 (the parabolic region S illustrated to the left). SOLUTION We first notice that the area must be somewhere between 0 and 2 because S is contained in a rectangle of side lengths 1 and 2, but we can certainly do better than that. Suppose we divide the region into four strips by drawing vertical lines x = 1 4 , x = 1 2

The following transactions occur for badger biking company during the month of june: a. provide services to customers on account for $32,000. b. receive cash of $24,000 from customers in (a) above. c. purchase bike equipment by signing a note with the bank for $17,000. d. pay utilities of $3,200 for the current month. analyze each transaction and indicate the amount of increases and decreases in the accounting equation. (decreases to account classifications should be entered as a negative.)