Amanufacturer produces bolts of a fabric with a fixed width. the quantity q of this fabric (measured in yards) that is sold is a function of the selling price p (in dollars per yard), so we can write q = f(p). then the total revenue earned with selling price p is r(p) = pf(p). (a) what does it mean to say that f(20) = 10,000? when the price of fabric is $20/yard, 10,000 yards will be sold. when the price of fabric is $425/yard, 20 yards will be sold. there are 425 total yards of fabric and $20 to spend on it. when the price of fabric is $20/yard, 425 yards will be sold. there are 10,000 total yards of fabric and $425 to spend on it. what does it mean to say that f '(20) = −425?

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