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\begin{tabular}{l} Question \\ Use Newton's method to approximate the solution to the equation \( \frac{5}{x-6}=x+5 \). Use \( x_{0}=-4 \) as your starting value to \\ find the approximation \( x_{2} \) rounded to the nearest thousandth. \\ Provide your answer below: \\ \( \qquad x_{2} \approx \square \) \\ \hline\end{tabular}
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You can afford a \( \$ 350 \) per month car payment. You've found a 3 year loan at \( 2 \% \) interest. How big of a loan can you afford? Question Help: Video 1
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Question Use Newton's method with the specified initial approximation \( x_{0} \) to find \( x_{2} \), the third approximation to the root of the equation given below. Round your answer to the nearest thousandth. \[ f(x)=x^{3}-9 x-3, \quad x_{0}=1 \] Provide your answer below: \( x_{2} \approx \square \)
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Question Use Newton's method to approximate the \( x \)-coordinate of the point where the graph of \( x^{3}-6 x-2 \) crosses the horizontal line \( y=2 \). Use \( x_{0}=-1 \) as your starting value to find the approximation \( x_{2} \) rounded to the nearest thousandth. Provide your answer below: \( \quad x_{2} \approx \square \)
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2.2 Simplify fully. \[ \frac{8^{n} \cdot 6^{n-3} \cdot 9^{1-n} \cdot 2^{0}}{16^{n-1} \cdot 3^{-n}} \]
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You want to be able to withdraw \( \$ 50,000 \) each year for 20 years. Your account earns \( 6 \% \) interest. a) How much do you need in your account at the beginning? b) How much total money will you pull out of the account? c) How much of that money is interest?
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3. Si un ratón y un elefante comen ambos con la misma energía cinética, ¿podrías decir cuál corre más aprisa? Explica tu respuesta en términos de la ecuación de la ECT?
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TION 3 Calculate: \( (-2)^{3}-(14-2) \)
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La enésima suma parcial de la serie \( \sum_{n=1}^{\infty} a_{n} \) está dada por \( S_{n}=\frac{n+1}{n^{2}+1} \) \( \sum_{n}^{5} a_{n}= \)
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Question Use Newton's method to approximate the solution to the equation \( \frac{4}{x-8}=x+3 \). Use \( x_{0}=-2 \) as your starting value to find the approximation \( x_{2} \) rounded to the nearest thousandth. Sorry, that's incorrect. Try again? \( x_{2} \approx \square \)
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