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Home Question Bank Math Pre Calculus Archive 2024 November 22

Pre-calculus Questions from Nov 22,2024

Browse the Pre-calculus Q&A Archive for Nov 22,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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2) Determine si las siguientes sucesiones son monótonas. Explique el procedimiento a) \( \left\{\frac{1-2 n}{n^{2}}\right\} \) 2) Determine si las siguientes sucesiones son monótonas. Explique el procedimiento a) \( \left\{\frac{1-2 n}{n^{2}}\right\} \) b) \( \{\cos n \pi\} \) 2) Determine si las siguientes sucesiones son monótonas. Explique el procedimiento a) \( \left\{\frac{1-2 n}{n^{2}}\right\} \) Let \( f(x)=\frac{x-8}{2 x-7} \) Find the Vertical asymptote and write AS A FRACTION. Find the cube roots of \( -125 i \). Graph each cube root as a vector in the complex plane. Choose the correct cube roots below. A. \( 5\left(\cos 30^{\circ}+i \sin 30^{\circ}\right), 5\left(\cos 150^{\circ}+i \sin 150^{\circ}\right), 5\left(\cos 270^{\circ}+i \sin 270^{\circ}\right) \) B. \( 5\left(\cos 90^{\circ}+i \sin 90^{\circ}\right), 5\left(\cos 210^{\circ}+i \sin 210^{\circ}\right), 5\left(\cos 330^{\circ}+i \sin 330^{\circ}\right) \) C. \( 125\left(\cos 0^{\circ}+i \sin 0^{\circ}\right), 125\left(\cos 120^{\circ}+i \sin 120^{\circ}\right), 125\left(\cos 240^{\circ}+i \sin 240^{\circ}\right) \) D. \( 125\left(\cos 60^{\circ}+i \sin 60^{\circ}\right), 125\left(\cos 180^{\circ}+i \sin 180^{\circ}\right), 125\left(\cos 300^{\circ}+i \sin 300^{\circ}\right) \) Choose the \( \operatorname{correct} \operatorname{graph} \) of the cube roots of \( -125 i \) belowv. Find an equivalent equation in rectangular coordinates and graph the equation. \( r=10 \cos \theta+4 \sin \theta \) Choose the rectangular equation that is equivalent to \( r=10 \cos \theta+4 \sin \theta \). A. \( (x+2)^{2}+(y+5)^{2}=29 \) B. \( y=-10 \sin x-4 \cos x \) C. \( (x-5)^{2}+(y-2)^{2}=29 \) D. \( 29=10 x-4 y \) Let \( f(x)=\frac{4}{7 x+1} \) This function has: 1) A horizontal asymptote at \( y=\square \) 2) A vertical asymptote at \( x=\square \) Instrucciones. Por inciso, i) gráfica los funciones, ii) determina los puntos de interseccion de las funciones y iii) calcula. el orea que se encuentra entre estar. a) \( f(x)=4 x-x^{2} ; g(x)=x^{2} \) It \( f: x \rightarrow x^{2}-2 \) and \( ;-x \rightarrow 2 x-1 \), find: \( \operatorname{fog}(-1 / 2) \) 16. Draw/Sketch together on the same graph clearly below the Polar equations \( r=4 \sin (5 \theta) \) AND \( \mathrm{r}=4 \) for \( \theta \) in the interval \( [0,2 \pi] \). Label axes and curves.
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