The volume of spherical hot air balloon (in ft^3) t hours after 1: 00 pm is given by V(t) = 4/3 pi (9 - 2t)^3, where 0 less than or equal to t less than or equal to 4. Find the rate of change of the volume of the balloon with respect to t at 4: 00 pm.

Alake near the arctic circle is covered by a 222-meter-thick sheet of ice during the cold winter months. when spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. after 333 weeks, the sheet is only 1.251.251, point, 25 meters thick. let s(t)s(t)s, left parenthesis, t, right parenthesis denote the ice sheet's thickness sss (measured in meters) as a function of time ttt (measured in weeks).

Choose a second initial value that is 0.01 greater than the initial value from question 9. iterate it using the function, f, ten times. if necessary, you can round your results to the nearest ten-thousandth.

Through: (-3,-3) parallel to y= 7/3x+3