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Home Question Bank Math Pre Calculus Archive 2024 November 24

Pre-calculus Questions from Nov 24,2024

Browse the Pre-calculus Q&A Archive for Nov 24,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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4. Elaborar las siguientes grafieas en coordenadas polares: A. \( r=3 \operatorname{Cosen}(3 x) \) B. \( r=5 \operatorname{Seno}(5 x)-6 \) C. \( r=2 \operatorname{Seno}(5 x-\pi / 3)-3 \) D. \( r=2 \operatorname{Coseno(3x-\pi /4)} \) 83. Suspension Bridge A suspension bridge with weight uni- formly distributed along its length has twin towers that ex- tend 75 meters above the road surface and are 400 meters apart. The cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road sur- face at the center of the bridge. Find the height of the cables at a point 100 meters from the center. (Assume that the road is level.) 19. A function \( f(x) \) has domain \( \{x \in \mathbf{R} \mid x \geq-4\} \) and range \( \{y \in \mathbf{R} \mid y<-1\} \). Determine the domain and range of each function. \( \begin{array}{ll}\text { a) } y=2 f(x) & \text { c) } y=3 f(x+1)+4 \\ \text { b) } y=f(-x) & \text { d) } y=-2 f(-x+5)+1\end{array} \) Graph the function. Write numbers as integers or simplified fractions. If there is more than one answer, separate them with commas. Select "None" if applic \( f(x)=\frac{2 x^{4}}{x^{2}+8} \) Part: \( 0 / 3 \) Part 1 of 3 Equation(s) of the vertical asymptote(s): Equation(s) of the horizontal asymptote(s): 3.5 and 3.6 Rational Functions Question 16 of 17 (1 point) I Question Attempt: 1 of Unlimited Graph the function. Plot at least 4 points. For vertical asymptotes, make sure there are at least two points on each side. \[ g(x)=\frac{x^{2}+2 x-15}{x-2} \] Simplifier \( \ln (\sqrt{5}-2)^{2024} \) Which of the following functions decreases, going downwards from left to right? \( \begin{array}{l}y=2 \cdot 3^{x} \\ y=2 \cdot 0.3^{x} \\ y=-2 \cdot 0.3^{x} \\ y=0.2 \cdot 3^{x}\end{array} \) \( \begin{array}{l}\text { y }\end{array} \) \( T_{A}(t)=\frac{\boldsymbol{k}}{4} t^{2}-2 \boldsymbol{k t}+3 \boldsymbol{k} \quad \) y \( \quad T_{B}(t)=a t+b \) \[ k=\{-2,-1,1,2,3,4\} \] a.-Selecciona un valor para k distinto de 2, reemplaza ese valor en la función \( T_{A} \mathrm{y} \) determina la función que modela la temperatura del lugar A b.- Traza la gráfica de la función \( \mathrm{T}_{\mathrm{A}} \) definida en el punto anterior. c.- Determina el dominio y recorrido de la función. Graph the function. Plot at least 4 points. For vertical asymptotes, make sure there are at least two points on each side. \[ g(x)=\frac{x^{2}+2 x-15}{x-2} \] Graph the function. Plot all necessary asymptotes. Plot at least 4 points. For vertical asymptotes, make sure there are at least two points on each side \[ n(x)=\frac{3 x^{2}-5 x-2}{x^{2}+1} \]
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