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Home Question Bank Math Calculus Archive 2025 January 19

Calculus Questions from Jan 19,2025

Browse the Calculus Q&A Archive for Jan 19,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Hallar la derivada \( y=e^{\operatorname{sen} x} \) The derivative of the function \( f \) is defined by \( f^{\prime}(x)=\left(x^{2}-2\right) \sin (x) \). If \( f(-1)=8 \), what is the absolute minimum value of the function \( f \) on the closed interval \( [-2,2] \) ? You may use a calculator and round your answer to the nearest thousandth. The derivative of the function \( f \) is defined by \( f^{\prime}(x)=\left(x^{2}-2\right) \sin (x) \). If \( f(-1)=8 \), what is the absolute minimum value of the function \( f \) on the closed interval \( [-2,2] \) ? You may use a calculator and round your answer to the nearest thousandth. 0. \( \lim _{T \rightarrow 0} \frac{\operatorname{sen}^{2} 3 T}{2 T} \) The function \( P(t)=\frac{25(5 t+8)}{2 t+1} \) models the population, in thousands, of a town \( t \) years since 1990 . a) Find the initial population. b) Find the average rate of change of the population from 1995 to 2005 . c) Find the rate at which the population is changing in the year 2000 . The derivative of the function \( f \) is defined by \( f^{\prime}(x)=\left(x^{2}-2\right) \sin (x) \). If \( f(-1)=8 \), what is the absolute minimum value of the function \( f \) on the closed interval \( [-2,2] \) ? You may use a calculator and round your answer to the nearest thousandth. The derivative of the function \( f \) is defined by \( f^{\prime}(x)=x^{2} \sin \left(x^{2}-x\right) \). If \( f(2)=3 \), what is the absolute minimum value of the function \( f \) on the closed interval \( [-2,2] \) ? You may use a calculator and round your answer to the nearest thousandth. The derivative of the function \( f \) is defined by \( f^{\prime}(x)=x^{2} \sin \left(x^{2}-x\right) \). If \( f(2)=3 \), what is the absolute minimum value of the function \( f \) on the closed interval \( [-2,2] \) ? You may use a calculator and round your answer to the nearest thousandth. The derivative of the function \( f \) is defined by \( f^{\prime}(x)=x^{2} \sin \left(x^{2}-x\right) \). If \( f(2)=3 \), what is the absolute minimum value of the function \( f \) on the closed interval \( [-2,2] \) ? You may use a calculator and round your answer to the nearest thousandth. The derivative of the function \( f \) is defined by \( f^{\prime}(x)=x^{2} \sin \left(x^{2}-x\right) \). If \( f(2)=3 \), what is the absolute minimum value of the function \( f \) on the closed interval \( [-2,2] \) ? You may use a calculator and round your answer to the nearest thousandth.
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