acob and Jessica are studying the spread of dandelions. Jacob discovers that the growth over t weeks can be defined by the function f(t) = (8) · 2*. Jessica finds that the growth function over t weeks is g(t) = 2*+3. Calculate the number of dandelions that Jacob and Jessica will each count after 5 weeks. A Jacob will count 256 bacteria, and Jessica will count 128 bacteria. Jacob will count 128 bacteria, and Jessica will count 256 bacteria. Jacob and Jessica will both count 256 bacteria. Jacob will count 256 bacteria, and Jessica will count 32 bacteria.

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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.