Activity 1.3.4. A rapidly growing city in Arizona has its population P at time t, where t is the number of decades after the year 2010, modeled by the formula P(t) = 25000e/5. Use this function to respond to the following questions. y Figure 1.3.11: Axes for plotting y = P(t) in Activity 1.3.4. c. Use the limit definition to write an expression for the instantaneous rate of change of P with respect to time, t, at the instant a = 2. Explain why this limit is difficult to evaluate exactly.

Q: Find the values of A and B such that is differentiable at 2 if д Ax + B if Xx<2 g(x) = { ²

A: if x&lt;2, g(x) =  Ax +B  g(2) = 2A+B;---------------------------------1 if(x&gt;=2), g(x) = 2x^2 -1…

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Q: x² + (y=k)² = r²|

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Q: Preview Activity 1.3.1. Suppose that f is the function given by the graph below and that a and a +h…

A: It is given that the graph of the function f and that a and a+h are input values labeled on x-axis.…

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Q: The function f(x) = 2x³ - 24x² + 72x + 3 has one local minimum and one local maximum. You may use a…

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Q: 2) Find the exact value(s) of x where f(x) = 2x - 3x2 - 12 + 20 has horizontal tangent lines. %3D

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