(1 point) Consider the Initial Value Problem: x′1x′2==−x1+x2−2x1+x2,x1(0)x2(0)==4 4 (a) Find the eigenvalues and eigenvectors for the coefficient matrix. λ1= i equation editorEquation Editor , v⃗ 1= ⎡⎣⎢⎢ 1-i equation editorEquation Editor ⎤⎦⎥⎥ 2 equation editorEquation Editor , and λ2= -i equation editorEquation Editor , v⃗ 2= ⎡⎣⎢⎢ 1+i equation editorEquation Editor ⎤⎦⎥⎥ 2 equation editorEquation Editor (b) Solve the initial value problem. Give your solution in real form.

What is the perimeter, p, of a rectangle that has a length of x + 8 and a width of y − 1? p = 2x + 2y + 18 p = 2x + 2y + 14 p = x + y − 9 p = x + y + 7

Analyze the data sets below. data set a 25,25,25,26,26,26,27,28,28,29,30,31,31,32,33,33,34,35,35,35 data set b 25,25,25,26,26,26,26,27,27,27,27,28,28,29,29,30,31,31,32,34 which of the following statement are true? select all that apply. a. data set a is relatively symmetric and data set b is skewed left. b.the means of the data sets are within 3 units from eachother. c.the data sets have the same standard deviation. d.the mean of data set a is 27.95 and the mean of data set b is 30. e. the data set b has a higher standard deviation than data set a. f. the mean and median of data set a are close in value.

Alake near the arctic circle is covered by a 222-meter-thick sheet of ice during the cold winter months. when spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. after 333 weeks, the sheet is only 1.251.251, point, 25 meters thick. let s(t)s(t)s, left parenthesis, t, right parenthesis denote the ice sheet's thickness sss (measured in meters) as a function of time ttt (measured in weeks).