Calculus Questions from Jan 11,2025

Browse the Calculus Q&A Archive for Jan 11,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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1) 2) 3) The volume of a sphere is decreasing at a constant rate of 6031 cubic centimeters per second. At the instant when the volume of the sphere is 3292 cubic centimeters, what is the rate of change of the radius? The volume of a sphere can be found with the equation . Round your answer to three decimal places. *3. Estimate Estimate the area under the curve for . The function has a horizontal asymptote at and a intercept at . The values of and are Your answer: Find the area between the curves and from to . \begin{tabular}{|l} Determine el área bajo la curva del siguiente gráfico: \\ \( f(x)=\frac{1}{4} x^{3}+\frac{1}{6} x+1 \) \\ \hline\end{tabular} b. this is a review of 4.1-4.3, we Calcula razonadamente el área que queda entre la función las rectas y el eje de Abscisas. 6) Use the limit process to find the area of the region bounded by the graph of the function and the -axis over the given interval. a. b.
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