Calculus Questions from Jan 17,2025

Browse the Calculus Q&A Archive for Jan 17,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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La recta tangente a la gráfica de la función en el punto pasa por el punto . Encuentra . Q1) The equation of the normal to the curve: at is ........ \begin{tabular}{ll|l|l|l|} (A) \( \mid 3 y+x-4=0 \) & B) \( 3 x+y-4=0 \) & (C) \( \mid 3 y-x-2=0 \) & (D) \( \mid 3 x-y-2=0 \) \\ \hline\end{tabular} 8. Solve the following initial value problem: (a) (b) (c) (d) с) 8. Solve the following initial value problem: (a) (b) (c) (d) 7. (2 points) Find the general solution of the differential equation in question 4: (a) , together with (c) , together with (d) 6. In order to solve the differential equation in question 4 , you will need to do a partial fractions decomposition after separating variables. Find values of and such that (a) (d) (c) (d) 5. Consider the differential equation from question 4: For which values of is a solution increasing? (a) only (b) only (c) (d) 4. (Short Answer) Consider the following differential equation: Which of the following are equilibrium solutions? 3. (2 points) Solve the following initial value problem: (t) (b) (c) (d)
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