For the following vector field, compute (a) the circulation on and (b) the outward flux across the boundary of the given region. assume the boundary curve has a counterclockwise orientation. f = (3x + y, x^2 - 3y), where r = {(x, y): y^2 lessthanorequalto x lessthanorequalto 50 - y^2}

the circulation on the boundary is.
the outward flux across the boundary is .

You are measuring the dimensions of the floor in your bedroom because you are planning to buy new carpet. which unit of measure is the most appropriate to use in this situation?

If 10 men take 18 days to mow 60 acres of grass, how long will 15 men take to mow 80 acres?

Colby and jaquan are growing bacteria in an experiment in a laboratory. colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. jaquan starts with 80 of a different type of bacteria that doubles every 3 hours. let x equal number of days. colbys experiment follows the model: a.) y=50*2^x b.) y=50*2^8x c.) y=50*2^12x jaquans experiment follows the model: a.)80*2^x b.)80*2^8x c.)80*2^12x