Verify that the vector X is a solution of the given homogeneous system. X' = (−1 1 1/25 -1)X; X = (−1 5)e−6t/5
For X = (−1 5)e−6t/5, one has
Since the above expressions, X = (−1 5)e−6t/5 is a solution of the given system.
The given vectors are solutions of a system X' = AX. Determine whether the vectors form a fundamental set on the interval (-co, o).
X1 = (1 -2 4) + t(1 2 2), X2 = (1 -2 4), X3 = (2 -4 8) + t(4 4 8)
A. Yes, since the set X,, X,, X3 is linearly independent for -o B. Yes, since the set X,, X2, X3 is linearly dependent for -t C. No, since the set X,, X2, X3 is linearly independent for -co t<.
D. No, since the set X, X2, X, is linearly dependent for -oo

Question: a) does the given set of points represent a linear function? how do you know? b) assume that the point (-2,4) lies on the graph of a line. what y-values could complete this set of ordered pairs that lie on the same line: (- (hint: there are several correct answ

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?

Collin did the work to see if 10 is a solution to the equation r/4=2.4