Suppose that the characteristic equation for a differential equation is (r−2)2(r−3)2=0(r−2)2(r−3)2=0. (a) find such a differential equation, assuming it is homogeneous and has constant coefficients. enter your answer using y, y′,y′′,y′′′,yy, y′,y′′,y′′′,y for the dependent variable and its derivatives. (b) find the general solution to this differential equation. in your answer, use c1,c2,c3c1,c2,c3 and c4c4 to denote arbitrary constants, use yy for the dependent variable, and use xx for the independent variable. enter c1c1 as c1, c2c2 as c2, etc.

Do social recommendations increase ad effectiveness? a study of online video viewers compared viewers who arrived at an advertising video for a particular brand by following a social media recommendation link to viewers who arrived at the same video by web browsing. data were collected on whether the viewer could correctly recall the brand being advertised after seeing the video. the results are given below. correctly recalled the brandarrival 409153browsing20484b. conduct the hypothesis test, using the 0.025 level of significance. what is the value of the test statistic? χ2stat=what is the p-value? p-value=is this value significant atα=0.025?

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.

Who long does it take to drive 150 miles at 45 miles per hour