Your monthly car payment in dollars is , where
$ is the amount you borrowed, is the number of months it
takes to pay off the loan, and percent is the interest rate.
(a)
Is positive or negative?
Suppose that your bank tells you that the magnitude of
is 15.
What are the units of this value?
(For this problem, write our your units in full, writing
dollars for $, months for months,
percent for %, etc. Note that fractional units
generally have a plural numerator and singular denominator.)
(b)
Is positive or negative?
Suppose that your bank tells you that the magnitude of
is 25.
What are the units of this value?
(For this problem, write our your units in full, writing
dollars for $, months for months,
percent for %, etc. Note that fractional units
generally have a plural numerator and singular denominator.)
For both parts of this problem, be sure you can explain
what the practical meanings of the partial derivatives are.