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Home Question Bank Math Pre Calculus Archive 2024 November 16

Pre-calculus Questions from Nov 16,2024

Browse the Pre-calculus Q&A Archive for Nov 16,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Teken cle parabool \( y=\frac{1}{2} x^{2}-2 x+3 \) Una empresa de alquiler de autos cobra a sus clientes \( p \) dólares por dia, donde \( 60 \leq p \leq 150 \). Se concluye que el número de autos que se alquilan por dia puede modelarse mediante la función lineal \( n()_{p}=750-5 p \). ¿Cuánto debe cobrar la empresa a cada cliente para maximizar sus ingresos? 1. Calcular: \( 9^{2^{-1}}+8^{3^{-1}}+625^{4^{-1}}+\left(\frac{1}{4}\right)^{-2^{-1}} \) \( \begin{array}{lll}\text { a) } 10 & \text { b) } 11 & \text { c) } 12 \\ \text { d) } 13 & & \text { e) } 14\end{array} \) Q1. An equation of a surface is given as \( z=\sqrt{25-x^{2}-y^{2}} \). (a) Find domain and range for the equation. (b) Find the level curves for \( \quad z=0,2,5 \) (c) Find the trace when \( y=0 \) (d) Sketch the curve. 23. \( f(x)=\frac{x+7}{x^{2}+6 x-7} \) QUESTION 2 \( \begin{array}{ll}2.1 & \text { If } f(x)=\frac{2 x-5}{\sqrt{3 x-6}}, \text { determine for which values of } x: \\ 2.1 .1 & f(x)=0 \\ 2.1 .2 & f(x) \text { is undefined. } \\ 2.1 .3 & f(x) \text { is non-real. }\end{array} \) 4. ¿Como es la gráfica de \( f(x)=-x^{2} \) con respecto a \( f(x)=x^{2} \) ? tate the oblique asymptote of \( f(x)=\frac{3 x^{2}-5 x+7}{x-1} \) 1 valor \( M \), en miles de dólares, de una máquina industrial al cabo de \( t \) meses desde su adquisición e modela por medio de: \( M(t)=\left(\frac{3 t+512}{t+1}\right)^{2 / 3} \) A qué ravón, uproximadamente disminuye el valor de la maquinaria al cabo de 24 meses? Two - Sketching Polynomials \[ j(x)=2 x^{3}-9 x^{2}+7 x \]
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