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Home Question Bank Math Pre Calculus Archive 2024 November 14

Pre-calculus Questions from Nov 14,2024

Browse the Pre-calculus Q&A Archive for Nov 14,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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7) Después de que un estudiante con un virus regresa a la universidad donde comparte curso con 200 estudiantes, el número de estudiantes infectados después de t dias, se pronostica por \( N(t)=\frac{200}{1+199 \cdot e^{-0,895 t}} \) a) ¿Cuántos estudiantes estarán infectados después de 10 dias? Mag. Prof. Miguel F. Arizu Ingreso a Medicina 2024 Matemática b) ¿En qué periodo de tiempo se estima que los infectados lleguen aproximadamente a 100 estudiantes? 83-84 a Nos dan una función \( f(x) \). (a) Encuentre el dominio de la función \( f \). (b) Encuentre la función inversa de \( f \). 83. \( f(x)=\log _{2}\left(\log _{10} x\right) \) 81-82 - Nos dan una familia de funciones. (a) Trace gráficas de la familia para \( c=1,2,3 \) y 4 . (b) ¿Cómo están relacionadas las gráfi- cas de la parte (a)? 81. \( f(x)=\log (c x) \) Given the function: \( h(x)=-\frac{2}{x-2}+2 \). \( 5.1 \quad \) Write down the equations of the asymptotes of \( h \). 5.2 Draw the graph of \( h \). Clearly show all asymptotes and intercepts with the axes. 5.3 Determine the equation of the axis of symmetry of \( h \) with \( m<0 \). QUESTION 5 Given the function: \( h(x)=-\frac{2}{x-2}+2 \). \( 5.1 \quad \) Write down the equations of the asymptotes of \( h \). 5.2 Draw the graph of \( h \). Clearly show all asymptotes and intercepts with the axes. 5.3 Determine the equation of the axis of symmetry of \( h \) with \( m<0 \). Graph all asymptotes of the rational function. \[ f(x)=\frac{x^{2}-x+5}{x+1} \] Use the exponential decay model, \( A=A_{0} e^{\mathrm{kt}} \), to solve the following. The half-life of a certain substance is 22 years. How long will it take for a sample of this substance to decay to \( 90 \% \) of its original amount? It will take approximately \( \square \) (Round to one decimal place as needed.) Assigning lower quotas, the following percentages add up to \( 99 \% \). Using the Hamilton Method, which of them gets its upper quota? \( 12.471 \% \) \( 33.849 \% \) \( 41.179 \% \) \( 13.825 \% \) 75-78 ■ Encuentre las funciones \( f \circ g \) y \( g \circ f y \) sus dominios. 75. \( f(x)=2^{x}, \quad g(x)=x+1 \) 77. \( f(x)=\log _{2} x, \quad g(x)=x-2 \) 05) Um fabricante pode produzir calcados ao custo de \( R \$ 20,00 \) o par. Estima-se que, se cada par for vendido por \( x \) reais, o fabricante venderá por mês \( 80-x(0 \leq x \leq 80) \) pares de sapatos. Assim, o lucro mensal do fabricante é uma função do preço de venda. Qual deve ser o preço de venda, de modo que o lucro mensal seja máximo?
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