Consider the following. F(x) = x sec2 t dt π/3
(a) Integrate to find F as a function of x. F(x) =
(b) Demonstrate the Second Fundamental Theorem of Calculus by differentiating the result in part (a)
f(x) =

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Data for the height of a model rocket launch in the air over time are shown in the table. darryl predicted that the height of the rocket at 8 seconds would be about 93 meters. did darryl make a good prediction? yes, the data are best modeled by a quadratic function. the value of the function at 8 seconds is about 93 meters. yes, the data are best modeled by a linear function. the first differences are constant, so about 93 meters at 8 seconds is reasonable. no, the data are exponential. a better prediction is 150 meters. no, the data are best modeled by a cubic function. a better prediction is 100 meters.