MATH 1501 Final: MATH 1501 GT Final CLASS2
Document Summary
Find the domain of f : find f (1), f ( 1), f (1), f ( 1), if they exist, for the function f from problem 1. Also, nd the general anti-derivative r f (x) dx: let g(x) = xex 3ex. How fast is the area of the plate increasing when the radius is 50 cm: a drop of mist is (essentially) a perfect sphere which collects additional moisture, through condensation, at a rate proportional to its surface area. Show that in this case the drop"s radius is increasing at a constant rate: sand falls from a conveyor belt at the rate of 10 m3/min onto the top of a conical pile. The ratio of the height of the pile to the base diameter is always 3/8. How fast are the height and radius changing when the pile is 4 m high: find the linearization of y = x 1 x2 at x = 1/2.
