Quiz 10

Show all work in a neat and organized fashion. Clearly indicate your answers.

10 points possible.

1. Give the derivative formula for each function.

(a) (3 pts.) K(x)=(4x²+7x+9)(lnx)

(b) (3 pts.) H(x)=(6.9x+12.5)⁷ e^(x4-x2)

2. (4 pts.) The table below (based on data from the Statistical Abstract of the United States, Bernan Press, 1992 and 1994) gives the number of imported passenger cars (in thousands) sold in the United States from 1984-1992.

Number of Imported               Passenger Cars Sold        Year       (thousands)                                   1984       2439       1985       2838       1986       3245       1987       3196       1988       3004       1989       2699       1990       2403       1991       2058       1992       1938

(a) Find a model to fit the data.

(b) Use the model to find how rapidly the number of cars was changing in 1988.