Answer
a. $0.29\ \Omega $
b. $6.09\ \Omega.$
c. $ 5.51\ \Omega.$
d. $0.58\ \Omega$
Work Step by Step
a. The gold fourth band indicates a tolerance of $\pm 5\%$.
$$10\% \times 5.8\Omega = (0.05)(5.8\Omega) =0.29\ \Omega .$$
That is, the tolerance is $0.29\ \Omega $.
b. The upper limit is
$$5.8\ \Omega +0.29\ \Omega=6.09\ \Omega.$$
c. The lower limit is
$$5.8\ \Omega-0.29\ \Omega=5.51\ \Omega.$$
d. The tolerance interval is then $$
6.09 \ \Omega-5.51\ \Omega= 0.58\ \Omega
.$$