Problem

General: Population The population of a city x years from now is predicted to be million...

General: Population The population of a city x years from now is predicted to be million people for 1 ≤x ≤ 5. Find when the population will be growing at the rate of a quarter of a million people per year. [Hint: On a graphing calculator, enter the given population function in y1, use NDERIV to define y2 to be the derivative of y1, and graph both on the window [1, 5] by [0, 3]. Then TRACE along y2 to find the x-coordinate (rounded to the nearest tenth of a unit) at which the y-coordinate is 0.25. You may have to ZOOM IN to find the correct x-value.]

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