14. Magazine Kiosk. The rent on a magazine kiosk is \( \$ 225 \) per month, and the kiosk is open 6 days per week. Suppose that the selling price of each magazine is \( \$ 2.50 \), and the wholesale cost of a magazine when purchased by the retailer is \( \$ 1.00 \). (a) If the kiosk owner needs to make a profit of \( \$ 1,200 \) per month, how many magazines must he sell every day? (b) What profit would the owner make if he sells 900 magazines per month?

SE 4.1 1. Let \( f(x)=4-x^{2} \). Consider a rectangle with vertices \( (0,0),(x, 0),(x, y) \), and \( (0, y) \). where the vertex \( (x, y) \) lies on the curve \( y=f(x), 0 \leq x \leq 2 \) (see the picture at right). Part I . 1. Express the perimeter \( P \) of the rectangle as a function of \( x, P(x) \). 2. Find the absolute maximum and absolute minimum of \( P(x) \) on the interval \( 0 \leq x \leq 2 \). 3. Find the dimensions of the rectangle with the largest perimeter.

Simplify: \( \frac{7}{8}-\frac{3}{4} \)

Solve for \( x \). \[ 4-\frac{3}{x-2}=-\frac{3}{(x-1)(x-2)} \] If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

\[ f(x)=\frac{3}{x} \quad g(x)=x-7 \] Hallar \( \frac{f}{g} \), Luego indicar su dominio mediante un intervalo o una unión de intervalos. Simplificar las respuestas.

In un rettangolo la base è \( 5 / 2 \) dell'altezza e la differenza tra le due dimensioni è 27 cm . Calcola l'area del rettangolo. [ \( \left.810 \mathrm{~cm}^{2}\right] \)