Definite Integrals and Rate of Change
Please see attached file for full problem description.
16. An old rowboat has sprung a leak. Water is flowing into the boat at a rate given in the following table.
t minutes 0 5 10 15
r(t), liters/min 12 20 24 16
(a) Compute upper and lower estimates for the volume of water that has flowed into the boat during the 15 minutes.
Number of subintervals: ?????
Width of each subinterval: ?????
Interval Minimum Endpoint Maximum Endpoint
Lower Estimate: ????
Upper Estimate: ????
(b) Draw a graph to illustrate the lower estimate. (Once you have the graph completed, you can use the Drawing Toolbar to create appropriate rectangles.)
Insert your graph.
30, 31
30. Use a graph of to explain why must be between 0 and 2.
(Try x values from -1 to 1 with major units of 0.2 and y values from 0 to 1.2 with major units of 0.2.)
Insert your graph.
