The following data give approximations to the integral m = sin(x)dx: n (1) = 1.570796 n = 1.896119 (2) = 1.974232 n(= 1.993570 assuming m = n1(h) + k1h2 + k2h4 + k3h6 + k4h8 + o(h10), use richardson's extrapolation iteratively to compute n2(h), n3(h) and n4(h). (5) suppose that n1(h) is an approximation to m for every h > 0 and that: m = n1(h) + kih+ k2h+ k3h + for constants k1, k2, k3 use the values n1(h), ni(h/3) and ni(h/9) to produce an o(h3) ap- proximation to m.

The amount of calories consumed by customers at the chinese buffet is normally distributed with mean 2743 and standard deviation 652. one randomly selected customer is observed to see how many calories x that customer consumes. round all answers to 4 decimal places where possible. a. what is the distribution of x? x ~ n(correct,correct) b. find the probability that the customer consumes less than 2355 calories. incorrect c. what proportion of the customers consume over 3026 calories? incorrect d. the piggy award will given out to the 1% of customers who consume the most calories. what is the fewest number of calories a person must consume to receive the piggy award? incorrect calories. (round to the nearest calorie)