Key to Practice Midterm I

Problem 1

A.  1 + lnx

B.  x^2x(2 + 2lnx)

C.  1

Problem 2

A.  1/2 x^1/2 - 2lnx + x⁴/4 + 3lnx + C

B.  (x³ - 2)⁶/6 + C

C.  ln|1 + e^x| + C

Problem 3

the year 2116

Problem 4

10,000(t²/2 - 6t)

Note that C = 0 since there is no loss at the beginning.