Suppose that V(t) = (21)1.07' + 5 sin(t) represents the value of a person's investment portfolio in thousands of dollars in year t, where t = 0 corresponds to January 1, 2010. Round your answers to three places after the decimal. (a) At what instantaneous rate is the portfolio's value changing on January 1, 2012? (b) Determine the value of V "(2). (c) What do your answers to (a) and (b) tell you about the way the portfolio's value is changing? O the value of the portfolio is increasing, but its rate of increase is slowing down the value of the portfolio is increasing, and its rate of increase is speeding up the value of the portfolio is decreasing, and its rate of decrease is speeding up O the value of the portfolio is decreasing, but its rate of decrease is slowing down (d) On the interval 0

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