Determine whether each of the following is true or false. In each case, assume \(P\) is located at \(t=0\) and \(F\) is located at \(t=n\).

a. \(F=F(P \mid F i \%, n)(F \mid P i \%, n)\)

b. \(F=P(F \mid P i \%, n+10)(P \mid F i \%, 10)\)

c. \(F=P(F \mid P i \%, n+10) /(F \mid P i \%, 10)\)

d. \(F=P^{*}(F \mid P i \%, n-5)(F \mid P i \%, 5)\)

e. \(F=P(F \mid P i-2 \%, n)(F \mid P 2 \%, n)\)

f. \(F=P(F \mid P i \%, n-3)+P(F \mid P i \%, 3)\)