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11 Nov 2019
A car drives along a straight road. The position is described by the equation s(t) = t3 - 12t + 4. Time is in seconds and the position is in meters. When is the position increasing? When is the position decreasing ? When is the velocity increasing? When is the velocity decreasing ?, When is the speed increasing? When is the speed decreasing? (Recall speed is the absolute value A street light is at the top of a 15-ft tall pole. A man 6 ft tall walks away from the pole with a speed of 5 ft/s. How fast is the tip of his shadow moving when he is 24 ft from the pole ? 8) Find the absolute maximum and absolute minimum values of the function on the given interval. f(x) = x3 +3x2 - 9x+ 6 [0, 2] For problems 9 and 10 use the following function f(x) = 2 - 6x2 + x3 Find the intervals of increase or decrease Find the local maximum and local minimum values Find the intervals of concavity and inflection points. Sketch the graph of the function. Label the x- and y- coordinates of all maximums, minimums inflection points.
A car drives along a straight road. The position is described by the equation s(t) = t3 - 12t + 4. Time is in seconds and the position is in meters. When is the position increasing? When is the position decreasing ? When is the velocity increasing? When is the velocity decreasing ?, When is the speed increasing? When is the speed decreasing? (Recall speed is the absolute value A street light is at the top of a 15-ft tall pole. A man 6 ft tall walks away from the pole with a speed of 5 ft/s. How fast is the tip of his shadow moving when he is 24 ft from the pole ? 8) Find the absolute maximum and absolute minimum values of the function on the given interval. f(x) = x3 +3x2 - 9x+ 6 [0, 2] For problems 9 and 10 use the following function f(x) = 2 - 6x2 + x3 Find the intervals of increase or decrease Find the local maximum and local minimum values Find the intervals of concavity and inflection points. Sketch the graph of the function. Label the x- and y- coordinates of all maximums, minimums inflection points.