Determine whether a conclusion can be drawn about the existence of uniqueness of a solution of the differential equation (7 minus t )y double prime plus 5 t y prime minus 7 y equals sine t, given that y (0 )equals 7 and y prime (0 )equals 7. If a conclusion can be drawn, discuss it. If a conclusion cannot be drawn, explain why.

Identify a1 and r for the geometric sequence an= -256(-1/4) n-1

What is the approximate value of  q  in the equation below? –1.613–1.5220.5853.079

Me its important ! marge runs an ice cream parlor. her speciality is triple chocolate sundaes.she can prepare 1 sundae every 2 minutes, and she earns $1.20 for each sundae she makes . if she just makes sundaes for a single shift of at most 4 hours and at least 2 hours , which function relates her earnings to the number of minutes she works?