1. A substance currently consists of C grams, and it grows at a continuous rate of 8.2% per year. Answer the following question. a. Create a model to represent the amount, A(t), of substance after t years b. Determine the number of years it will take for the amount to double. Give the exact solution in logarithmic form. Must show work symbolically/algebraically. Round to the nearest year

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.