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Select all the statements that are true: C] If the instantaneous rate of change of a function is positive at a given point, the tangent at that point is an increasing line. C] The units for both average rate of change and instantaneous rate of change are stated as: units of the dependent variable units 0 f the independent variable 0 If the instantaneous rate of change of a function at a given point is 0, then the function has a local maximum or a minimum at that point. C] The instantaneous rate of change of a linear function at any point is always 0. As a Ferris wheel rotates, he height, h, in metres, above the ground of one of its cars, can be modelled by the functionh(t) = 10 Sin(7t(t 0. 5)) -l 15 , where t is the time, in minutes. At what value of time is the instantaneous rate of change the greatest positive value? 0 a) t = 1 minute O bl t = 1.5 minutes 0 C) t=O minutes @ d) t =O.5 minutes The number of people, P, at a playground after tmin is given by P= 13 + 7t+ 43. The average rate of change of the number of people at the playground from 1 min to Round to one decimal place if needed and enter only the numerical value. Your Answer: :]