1. A baseball batter hits an infield fly ball. The height h in meters of the baseball after \( t \) seconds is approximately modeled by the functuon
\( h ( t ) = - 5 t ^ { 2 } + 4 t + 1 \)
How long does the ball stay in the air? Round your answer to the neareat whole number.
Ball stay in the air for 1 second.
Determine the following limits. If infinite, specify \( \infty \) or \( - \infty \) . If an answer does not exist, explain why. (NO POINTS WILL BE GIVEN IF A TABLE OF VALUES IS USED) b. \( \lim _ { x \rightarrow 1 ^ { + } } [ \frac { x } { x - 1 } + \frac { 1 } { \ln ( x ) } ]\)
9. A board game company models the profit on its latest board game using the quadratic relation
\( P = - 2 x ^ { 2 } + 28 x - 90 , \) where \( x \) is the number of games it produces in hundred thousands and \( P \) is the profit in millions of dollars.
a) What are the break-even points for the company?
b) What is the maximum profit that the company can earn?
