Let 0 < < 1. For a t-curve, determine a. The t-value having area to

Let 0 < α < 1. For a t-curve, determine
a. The t-value having area α to its right in terms of tα.
b. The t-value having area α to its left in terms of tα.
c. The two t-values that divide the area under the curve into a middle 1 − α area and two outside α/2 areas.
d. Draw graphs to illustrate your results in parts (a)-(c).