A firm's long-run total cost curve is TC(Q) = 1000Q½. Derive the equation for the corresponding long-run

Question:

A firm's long-run total cost curve is TC(Q) = 1000Q½. Derive the equation for the corresponding long-run average cost curve, AC(Q). Given the equation of the long-run average cost curve which of the following statements is true:
a. The long-run marginal cost curve MC(Q) lies below AC(Q) for all positive quantities Q.