Suppose that X1, · · · , Xn form a random sample from a uniform distribution on the interval (θ1, θ2), with the pdf as follows: f(x|θ) = ( 1 θ2−θ1 , for θ1 ≤ x ≤ θ2 0, otherwise Also suppose that the values of θ1 and θ2 are unknown (−[infinity] < θ1 < θ2 < [infinity]). Find the MLE’s of θ1 and θ2.

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

Aboat's value over time is given as the function f(x) and graphed below. use a(x) = 400(b)x + 0 as the parent function. which graph shows the boat's value increasing at a rate of 25% per year?

Evaluate 8j -k+148j−k+14 when j=0.25j=0.25 and k=1k=1.