Bài 1.16 Cho X1 = (1, 2, 4) , X2 = (−1, 0, 2)
X3 = (1, 4, 10) , X4 = (2, 2, 1)

1. Tính hạng của hệ bốn vectơ trên.
2. Biết rằng: A1 = X1, A2 = X1 + X3, A3 = X1 + X2 − X4. Hãy biểu diễn
tuyến tính X3 qua các vectơ A1, A2, A3.

Hi, can anyone show me how to do this problem? 100 points for this. in advance

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Assume that females have pulse rates that are normally distributed with a mean of mu equals 72.0 beats per minute and a standard deviation of sigma equals 12.5 beats per minute. complete parts (a) through (c) below. a. if 1 adult female is randomly selected, find the probability that her pulse rate is between 65 beats per minute and 79 beats per minute. the probability is? b. if 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 65 beats per minute and 79 beats per minute. the probability is? c. why can the normal distribution be used in part (b), even though the sample size does not exceed 30?