Determine the form of a particular solution yp to l(x)=g(x) for g(x) as given if the solution to the associated homogeneous equation l(x)=0 is
yc=c1+c2e^x+c3xe^x
a) g(x)-x^3-3x+1
b) g(x)=4xe^x
c) g(x)=2xe^2x
d) g(x)=23xe^(5x)sin2x
e) g(x)=4+xcosc

Fill in the table with whole numbers to make 430 in five different ways

On a certain portion of an experiment, a statistical test result yielded a p-value of 0.21. what can you conclude? 2(0.21) = 0.42 < 0.5; the test is not statistically significant. if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time, so the test is not statistically significant. 0.21 > 0.05; the test is statistically significant. if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 79% of the time, so the test is not statistically significant. p = 1 - 0.21 = 0.79 > 0.05; the test is statistically significant.

In a coastal town, the humidity, measured in grams of water per kilogram of air, increases by 43% for every 1 degree celsius increase in temperature. a scientist observes that the humidity on monday morning is 5.75 grams per kilogram. he wants to know how much the temperature must increase for the humidity to reach at least 49.17 grams per kilogram. let t represent the increase in temperature, in degrees celsius, from monday morning's observation. write an inequality to represent the situation, and use it to determine the desired temperature increase.