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Hogar Banco de preguntas Matemáticas Precálculo Archive 2024 December 05

Pre-calculus Questions from Dec 05,2024

Browse the Pre-calculus Q&A Archive for Dec 05,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Tranformar las ecuciciones cartesianas a Polares o viceversa. \( V=\frac{1}{(1-2 \operatorname{sen} \theta)} \) Tranformar las eaciaiones car tesianas a polares o viceversa \( r^{2} \cos 2 \theta=1 \) Tranforinar las equaciones Cartesianas a Bolares o viceversa \( r=2 \operatorname{sen} \theta \) Tranformar las ecuaciones Cartesianfa a Bolares o viceversa \( r=2 \cos \theta \) Annabel wants to make banana bread for the bake sale. She went to the markel to buy bananas, and she noticed fruit llies affer she returned home with her produce. The number of fruit fies grows at an exponential rate modeled by the equation \( f(t)=8(2)^{l} \), where \( f \) is the number of fruit flies after \( t \) days. Define an appropriate domain for the problem if Annabel bake the banana bread 5 days after returning from the market. (1 point) \( 0 \leq t \leq 5 \) \( 0<t \leq 256 \) \( 0 \leq f \leq 5 \) \( 0 \leq f \leq 256 \) The population of a country is decreasing according to the formula \( y=y_{0} e^{-0.0038 t} \). In this formula, \( t \) is the time in years and \( y_{0} \) is the initial population at time 0 . If the size of the population in 2020 was 122.4 million, use the formula to predict the population of the country in the year 2026 . Teinformar las ecuciciones cartesianas a Bolares o viceversa \( r=\frac{1}{(1-2 \operatorname{sen} \theta)} \) Write out the form of the partial fractions that would be used to perform the indicated integration. Do not evaluate the constants. \( \int \frac{4 x+5}{x^{2}+5 x} d x \) \( f(x)=\left\{\begin{array}{ll}|x+5| & \text { for } x \leq 0 \\ -x+3 & \text { for } 0<x \leq 4\end{array}\right. \) The temperature in Fairbanks is approximated by \( T(x)=37 \sin \left[\frac{2 \pi}{365}(x-101)\right]+25 \) where \( T(x) \) is the temperature on day \( x \), with \( x=1 \) corresponding to Jan. 1 and \( x=365 \) corresponding to Dec. 31 . Estimate the temperature on day 323 .
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