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Home Question Bank Math Calculus Archive 2024 November 14

Calculus Questions from Nov 14,2024

Browse the Calculus Q&A Archive for Nov 14,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Remember that \( f(x)=5 x-3 x^{2} \) Find \( f(x+h)-f(x) \) \( \square \) 3) Encontrar el área de la región limitada por las curvas siguientes. Graficar. Justificar. \( \begin{array}{l}y=2 x^{2}+4 x \\ y=-2 x^{2}+16 x\end{array} \) Estimate the integral \( \int_{1}^{7} \sqrt{x} d x \) using a left-hand sum and a right-hand sum with \( n=3 \) subdivisions. NOTE: Enter exact answers or round to two decimal places. Left-hand sum \( =\square \) Right-hand sum \( = \) Estimate the integral \( \int_{-1}^{8} 3^{x} d x \) using a left-hand sum and a right-hand sum with \( n=3 \) subdivisions. Left-hand sum \( =\square \) Right-hand sum \( =\square \) \( f ( x ) = \log x \quad x = 10 \) Evaluate the limit. If the answer does not exist, type DNE \( \lim _{x \rightarrow-\infty} \frac{6 x^{4}+3 x^{3}-7 x}{x^{2}+5 x-8} \) 1) Dada \( f(x) \), efectuar un estudio de función para ello determinar, justificando los pasos realizados: a) intervalos de crecimiento y decrecimiento y extremos relativos, b) intervalos de concavidad y puntos de inflexión, c) y representación gráfica \( f(x)=x^{3}-5 x^{2}+7 x-3 \) Un fabricante ha estado vendiendo 1000 televisores de pantalla plana a la semana a \( \$ 450 \). Un estudio de mercado indica que, por cada \( \$ 10 \) de descuento ofrecido al comprador, el número de televisores vendidos se incrementará en 100 por semana. a) Encuentre la función demanda. b) ¿Qué tan grande debe ser el descuento que ofrezea la compañía al comprador a fin de maximizar sus utilidades? Evaluate the limit. If the answer does not exist, type DNE \( \lim _{x \rightarrow-\infty} \frac{6 x^{4}+3 x^{3}-7 x}{x^{2}+5 x-8} \) Your velocity is given by \( v(t)=t^{2}+1 \mathrm{in} \mathrm{m} / \mathrm{sec} \), with \( t \) in seconds. Estimate the distance, \( s \), traveled between \( t=0 \) and \( t=5 \). Use an overestimate with data every one second. The distance is approximately i eTextbook and Media
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