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Pre Calculus Questions & Answers

Q:
The exponential function given by \( \mathrm{H}(\mathrm{t}=80,038.18(1.0484) \), where \( t \) is the number of years after 2012, can be used to project the number of centenarians in a certain country. Use this function to project the centenarian population in this country in 2016 and in 2043 . The centenarian population in 2016 is approximately (Round to the nearest whole number.)
Q:
The number of concurrent users of a social networking site has increased dramatically since 2004. By 2013 , this social networking site could connect concurrently 70 million users online. The function \( \mathrm{P}(\mathrm{t})=2.566(1.476)^{\mathrm{l}} \), where t is the number of years after 2004, models this increase in millions of users. Estimate the number of users of this site that could be online concurrently in 2005 , in 2009 , and in 2012 . Round to the nearest million users. The number of users of this site that could be online concurrently in 2005 is approximately (Round to the nearest whole number.)
Q:
Escribe en forma polar los complejos sig \( z=(\operatorname{sen}(\alpha+\pi)+i \cos (\pi-\alpha) \)
Q:
The number of concurrent users of a social networking site has increased dramatically since 2000 . By 2009, this social networking site could connect concurrently 70 million users online. The function \( \mathrm{P}(\mathrm{t})=2.462(1.481)^{\mathrm{l}} \), where t is the number of years after 2000 , models this increase in millions of users. Estimate the number of users of this site that could be online concurrently in 2001 , in 2005 , and in 2008 . Round to the nearest million users. The number of users of this site that could be online concurrently in 2001 is approximately p(8)=37 million. (Round to the nearest whole number.)
Q:
Sea \( f:[-\pi, \pi] ® R \) la función definida por * \( f(x)=\cos ^{4}(x)+\operatorname{sen}^{2}(x)-1 \) ¿En cuántos puntos el gráfico de esta función interseca al eje de las abscisas? Tu respuesta
Q:
Write the sum using summation notation. There may be multiple representations. Use \( i \) as the index of summation. \( \frac{1}{2}-\frac{1}{4}+\frac{1}{8}-\frac{1}{16}+\frac{1}{32} \) We can write the sum as
Q:
4. Write an equation for the asymptotes of the function \( c(x)=\frac{1+4 x}{x} \) Vertical asymptote: Horizontal asymptote:
Q:
Find the horizontal asymptote of the graph of \( g(x)=\frac{7}{x}-2 \) \( \begin{array}{lll}\text { 4] } x=0 & \text { [B] } y=0 & \text { [C] } y=-2\end{array} \)
Q:
solve \( 512^{2 / 3} \)
Q:
Find the vertical asymptote(s) of the graph of \( f(x)=\frac{x^{2}-4}{(x+2)(x+9)} \). \( \begin{array}{llll}{[\text { A }] y=1} & \text { [B] } y=1,-1 & {[\text { C }] x=-9,-2} & \text { [D] } x=-9\end{array} \)

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