A frame shop has been commissioned to frame \( 5 \) black-and-white photos for an island resort. Each photo has a perimeter of \( 98 \) in. and a diagonal of \( 35 \) in. Find the dimensions of the photos.
The longer side is \( \square \) in.
The shorter side is \( \square \) in.
(Type exact answers, using radicals as needed. Simplify your answers.)
long：31
short:18
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?
