El es el método de análisis que permite, por ejemplo, e resolver el problema de encontrar la velocidad de un proyectil en caída libre para cualquier tiempo t. a. Promedio de variaciones b. Método de incrementos c. Método de porcentajes d. Límite determinado

b Hence show that \( \int_{2}^{3} \ln y \mathrm{~d} y=\ln \left(\frac{27}{4 \mathrm{e}}\right) \)

Find the average rate of change of \( h(x)=-2 x^{2}-5 x \) from \( x=-4 \) to \( x=1 \). Simplify your answer as much as possible.

1. \( y=\frac{x}{\sqrt[4]{25-x^{2}}} \)

A national fast food company has just analyzed the effect of the latest sales promotion. It has determined that the sales decay for its milkshakes is given by \( S=285,000 e^{-0.7 x} \), where \( S \) is the weekly sales and \( x \) is the number of weeks that have passes since the end of the sales promotion. a) Determine the sales 2 weeks after the end of the promotion: Round answer to 2 decimal places. Sales \( =\$ \) b) If no new campaign is started, how many weeks after the end of the promotion will sales drop below 30,000 ? Round answer to 1 decimal place. Num. weeks =

7. c) \( \frac{1}{1+x}-\frac{2}{x^{2}-1} \)