An exponential model y = abx passes through the points (0, 3) and (3, 375). What are the values of a and b? [Provide a numerical answer for each] %3D

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Q: A

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Q: find the associated half-time or doubling time.  Q=1300e-0.025t

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A: $2,500 is deposited into an account paying 6.2% interest compounded continuously.

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Q: Find the logarithm. log(1, 000, 000) =

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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.