17. The function \( h ( t ) = - 16 t ( t - \frac { 1 } { 2 } ) + 27 \)
models the height \( h \) , in feet, of a rock \( t \) seconds after it is tossed from a balcony. Part A Find the rock's initial velocity and initial height. Explain. Part B Find the rock's maximum height. Show your work.
Find the inverse for each of the following functions.
\(f ( x ) = 3 x + 1\)
\(g ( x ) = 1 x ^ { 3 } - 5\)
\(h ( x ) = \frac { 3 } { x + 5 }\)
\(j ( x ) = \sqrt[ 3 ] { x + 1 }\)
The total revenue from the sale of a popular book is approximated by the rational function \( R ( x ) = \frac { 1700 x ^ { 2 } } { x ^ { 2 } + 4 } \) , where \( x \) is the number of years since publication and \( R ( x ) \)
is the total revenue in millions of dollars.
(a) Find the total revenue at the end of the first year.
(b) Find the total revenue at the end of the second year.
