a) A region is called “positively invariant” if solutions in that region stay in that region as time increases. Which regions of your plot are positively invariant? b) Use your answers to the previous parts (NOT the linearization theorem) to classify each equilibria as a source, a sink, a saddle, or none of the above. c) describe the long-term behavior of every solution in the plane. You should explain what can happen as t → ∞ and qualitatively describe which solutions have each behavior

C Clever | Portal di (4) Plumley 5th hou x 9 Assignment: point x W Nevaeh Sykes - Ass X Nevaeh Sykes - Tas x O US_Involvement_in h Hulu | Watch + A dpscd.schoology.com/assignments/3384813946/mydocument Nevaeh Sykes Submit Assignment Edit WE DO: Write the equation in slope intercept form that passes through point (-2,-4) and has a slope of -3. equation: y-y1=m(x-x1) Yı= X1= m= equation: y-y1=m(x-x1) PAGE 4 OF 5 100% 目。 English Support | Schoology Blog | PRIVACY POLICY | Terms of Use Schoology © S M 3 v À 1:07

If the slope of a regression line (b1) is 1.5, then a) for every unit of change in x, there is a change of 1.5 units in y b) for every unit of change in y, there is a change of 1.5 in x. c) the score of each case is 1.5 times higher on yt han on x d)y causes X

is it true that The assumption of linearity is met if the relationship is curvilinear ?

While shopping for an air conditione, a buyer bonsulted the following table giving a machine's BTUS and the square footage ( that it would cool t' (x) BTUS (y) 5100 5400 6350 6700 7275 7825 8300 8550 9750 9900 150 175 230 250 285315 350 360 435 | 450 (a) Find a linear model for the data. (b) Use the results from part (a) to find the number of BTUS required to cool rooms of 360 ft, 435 r, and 450 (c) Suppose a room measures 215 Use the results from part (a) to decide how many BTUS it requires if the air conditioners are available only with the BTU cholces in the table, which is the best choice? (a) Find a linear model for the data Find the least-aquares regression ine Once you have found the line in ynix+b form, input the values of m and b into the appropriate boxes below A linear model for the data is y (Round to the nearest whole number as needed) %3D