A. The financial value of a mutual fund goes up and down over time. Consider a certain mutual fund’s value V (in dollars) as a function of time t (in months since January 2010). In particular, note that January 2012 corresponds to the time value t = 24, July 2012 is t = 30, and January 2013 is t = 36. Suppose we also know the following information about the value of the mutual fund: V (24) = 8500 V (30) = 8700 V (36) = 10300, V' (36)=200, V''(36)= -30, Find (V(30)-V(24))/6, Using correct units, interpret the meaning of your answer. B. Find the line tangent to V (t) when t = 36, and then use this to estimate the value of the mutual fund in July 2013. Please show working. Also, I was wondering if we solve part b with "definition of the derivative." If so, do you mind showing it?
A. The financial value of a mutual fund goes up and down over time. Consider a certain mutual fund’s value V (in dollars) as a function of time t (in months since January 2010). In particular, note that January 2012 corresponds to the time value t = 24, July 2012 is t = 30, and January 2013 is t = 36. Suppose we also know the following information about the value of the mutual fund:
V (24) = 8500 V (30) = 8700 V (36) = 10300, V' (36)=200, V''(36)= -30,
Find (V(30)-V(24))/6, Using correct units, interpret the meaning of your answer.
B. Find the line tangent to V (t) when t = 36, and then use this to estimate the value of
the mutual fund in July 2013.
Please show working. Also, I was wondering if we solve part b with "definition of the derivative." If so, do you mind showing it?
Thank you!
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