The population of Canada in 2010 was approximately 34 million with an annual growth rate of 0.804%. At this rate, the population P(t) (in millions) can be approximated by P(t) = 34(1.00804)t, where t is the time in years since 2010.   a. Is the graph of P an increasing or decreasing exponential function?  b. Evaluate P(0) and interpret its meaning in the context of this problem. c. Evaluate P(5) and interpret its meaning in the context of this problem. Round the population value to the nearest million. d. Evaluate P(15) and P(25).

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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.