Assume the circuit above has reached steady state for t < 0. at time t = 0, the switch changes state and disconnects the voltage source, replacing it with a short. for this problem, we use the same notations as in problem 1. (a) now suppose that r = 1ω and the other component values are as specified in the circuit. assume that vs = 1 volt. find the initial conditions for~xe(0). recall that~xe is in the changed "nice" eigenbasis coordinates from the first problem. (b) continuing the previous part, find x1(t) = il(t) and x2(t) = vc(t) for t ≥ 0. (hint: remember that ea+jb = e a e jb.)\

Julian wrote the following numeric pattern on the board3,10,17,24,31,38.what numbers of julian's pattern are compound numbers.

Name and describe the three most important measures of central tendency. choose the correct answer below. a. the mean, sample size, and mode are the most important measures of central tendency. the mean of a data set is the sum of the observations divided by the middle value in its ordered list. the sample size of a data set is the number of observations. the mode of a data set is its highest value in its ordered list. b. the sample size, median, and mode are the most important measures of central tendency. the sample size of a data set is the difference between the highest value and lowest value in its ordered list. the median of a data set is its most frequently occurring value. the mode of a data set is sum of the observations divided by the number of observations. c. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is the product of the observations divided by the number of observations. the median of a data set is the lowest value in its ordered list. the mode of a data set is its least frequently occurring value. d. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is its arithmetic average. the median of a data set is the middle value in its ordered list. the mode of a data set is its most frequently occurring value.

Match each whole number with a rational, exponential expression 3 square root 27^2find the domain and range of the exponential function h(x)=125^x. explain your findings. as x decreases does h increase or decrease? explain. as x increases does h increase or decrease? explain.