Calculate: V²[V•(F/r²)] and evaluate for r=1,25

Please use one of the following formulas: F=-k∆d   f=(1/2π)(√(k/m))    T=2π√(m/k)   f=(1/2π)(√(g/L))    T=2π√(L/g)   v=d/t   v=λf   fd=fs(v+vd)/(v-vs)   f=1/T   T=1/f   v=4Lf   v=2Lf   f=(1/2L)√(FT/μ)

Here's how gym membership works for a potential customer: If the customer decides to join the gym, she will pay J on day 0. Then, she can use the gym starting the next day for 5 days (1; 2; 3; 4; 5), paying an additional F on each day she visits. If she goes to the gym on any given day, it costs her (10+ F) that day, but beneÖts her 30 the next day. In other words, her "costs" are a sum of her psychic costs (10) and actual Onancial costs (F). Assume that, when indi§erent, the individual will go to the gym. (a) Suppose the potential customer is a standard exponential discounter with a discount factor of = 12. If gym membership was free (i.e. J = 0 and F = 0) would she join the gym? If so, how many days would she actually go? (b) Suppose the gym did not charge a joining fee. How high could it set the usage fee? What would its revenues from this customer be? (c) Suppose instead the gym decided not to charge a usage fee. How high could it set the joining fee? [Hint: To Ögure out the…

1.3 Determines the value of m so that the vectors ū = [-2,6,4] and v = [m,9,6] are: A) collinear B) orthogonal