Consider Unif0theta Find the expectation of the smallest ord

Consider Unif(0,theta). Find the expectation of the smallest order statistic, Y_(1) the minimum. Propose an estimator theta of theta that is a function of Y_(1) and is unbiased. On Friday, we derived the method of moments estimator (MME) for theta. Repeat that derivation here. Which of the two estimators discussed in this question has minimum MSE? Which do you think is better?