Let Zn be the size of the nth generation in a GW process with Zo = 1, E(Z¡) = µ. Show that E(Z„Zm) = µ"-"E(Z²) for m
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- Suppose a spherical balloon grows in such a way that after t seconds, its volume V is given by V = 4 t1/2 cm3. After 100 seconds the radius of the balloon is r = 2.121568836 units? sec cm cm^2 cm^3 cm/sec cm^2/sec cm^3/sec . How fast is the radius changing after 100 seconds? dr dt = units? sec cm cm^2 cm^3 cm/sec cm^2/sec cm^3/sec1. Find the natural cubic spline sN (x) passing through the 3 points (xj, yj) given by (0, 2), (2, 3), and (3, 1).Then evaluate sN (1).find the first four nonzero terms of the Taylorseries generated by ƒ at x = a. ƒ(x) = 1/x at x = a > 0