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Home Question Bank Math Pre Calculus Archive 2024 November 23

Pre-calculus Questions from Nov 23,2024

Browse the Pre-calculus Q&A Archive for Nov 23,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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5. La cantidad de personas \( P \), que acuden a un centro asistencial que presentan problemas de gripe podría modelarse como: donde \( P(t)=-t^{2}+12 t-32 \) (a) El mes en que la cantidad de enfermos es máxima. (b) La cantidad máxima de enfermos. (c) El (los) mes(es) en que no hay personas con gripe. State the domain of the function. \( f(x)=\frac{1}{x-7} \) Without graphing, describe the shape of the graph of the function. Find the second coordinates of the points with first coordinates 0 and 1 . \( f(x)=4^{2.3 x} \) The graph exponentially grows. Find the second coordinates of the given first coordinates. \[ \begin{array}{ll}x \quad f(x)=4^{2.3 x} \\ 0 \quad f(0)=1 \\ 1 & f(1)= \\ \text { (Round to one decimal place as needed.) }\end{array} \] Without graphing, describe the shape of the graph of the function. Find the second coordinates of the points with first coordinates 0 and 1 . \( f(x)=4^{2.3 x} \) The graph exponentially grows. Find the second coordinates of the given first coordinates. \( \begin{array}{ll}x & f(x)=4^{2.3 x} \\ 0 & f(0)=\square\end{array} \) (Round to one decimal place as needed.) Without graphing, describe the shape of the graph of the function. Find the second coordinates of the points with first coordinates 0 and 1 . \( f(x)=1.3^{x} \) The graph 3) Modeling Sequences and Series a) A ball is dropped from a height of 32 feet. It bounces and rebounds. \( 75 \% \) of the height from which it was falling. What is the total downward distance, in feet, the ball traveled up to the 12th bounce? domínio \( f(x)=\frac{\sqrt[3]{x}}{x^{2}+1} \) 1. Hallar los cinco primeros términos de la siguiente sucesión \[ \begin{array}{l}7+\frac{1}{3^{n}} \\ \text { 2. Escribe una expresión que indique el término general de cada sucesi } \\ \qquad \frac{1}{2}, \frac{4}{5}, \frac{9}{8}, \frac{16}{11} \\ \qquad 3,8,15,24,35 \\ \text { Encuentra el valor de cada suma } \\ \sum_{n=1}^{4} \frac{3 n^{2}-6 n}{n^{2}+8 n+15}\end{array} \] 1. Hallar los cinco primeros términos de la siguiente sucesión \[ \begin{array}{l}7+\frac{1}{3^{n}} \\ \text { 2. Escribe una expresión que indique el término general de cada sucesi } \\ \qquad \frac{1}{2}, \frac{4}{5}, \frac{9}{8}, \frac{16}{11} \\ \qquad 3,8,15,24,35 \\ \text { 3.Encuentra el valor de cada suma } \\ \sum_{n=1}^{4} \frac{3 n^{2}-6 n}{n^{2}+8 n+15}\end{array} \] \[ \] Find the domain of the function \( f(x)=\sqrt{\frac{4-x}{x-7}} \). Write your answer using interval notation in the box below. Enter your values as integers or reduced fractions. Domain of \( f(x) \) :
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