The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventually. the population is modeled by the function n = f(t) = a 1 + be−0.8t where t is measured in hours. at time t = 0 the population is 10 cells and is increasing at a rate of 7 cells/hour. find the values of a and b. a = 1 -25 b = 2 -3.5 according to this model, what happens to the yeast population in the long run? the yeast population will grow without bound. the yeast population will stabilize at 80 cells. the yeast population will stabilize at 40 cells. the yeast population will stabilize at 7 cells. the yeast population will shrink to 0 cells.

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