1. For any given day, the number of degrees that the average temperature is below 18°C is called the degree-days for that day. This figure is used to calculate how much is spent on heating. The total
number D of degree-days for each month in Dubuque, Iowa, with t = 1 representing January, can be
modelled using the function D(t) = 704 sin 30(t - 2) + 716 .

a) What month has the lowest total number of degree-days over the whole year?

b) What is minimum total number of degree-days?

c) What is the total number of degree-days on September 30?

d) When is the total number of degree-days at 1068? How many months is it below 1068 degree-days?

Consider the following geometry problems in 3-space enter t or f depending on whether the statement is true or false. (you must enter t or f -- true and false will not work.) f equation editorequation editor 1. a plane and a line either intersect or are parallel t equation editorequation editor 2. two planes parallel to a third plane are parallel f equation editorequation editor 3. two lines either intersect or are parallel f equation editorequation editor 4. two planes orthogonal to a third plane are parallel f equation editorequation editor 5. two planes orthogonal to a line are parallel f equation editorequation editor 6. two planes either intersect or are parallel f equation editorequation editor 7. two lines orthogonal to a third line are parallel t equation editorequation editor 8. two lines parallel to a third line are parallel t equation editorequation editor 9. two planes parallel to a line are parallel f equation editorequation editor 10. two lines parallel to a plane are parallel f equation editorequation editor 11. two lines orthogonal to a plane are parallel