Using a taylor series, find the polynomial of least degree that will approximate f(x) throughout the given interval with an error of magnitude less than 10 superscript negative 5. f(x)equalsintegral from 0 to x sine t squared dt, [0 comma 1 ]

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?